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TECHNICAL PUBLICATION SJ 80-8

LOG PEARSON TYPE 3 DISTRIBUTION:

TABLES OF QUANTILES

By

Donthamsetti Veerabhadra Rao

Water Resources Department

St. Johns River Water Management District

Palatka, Florida

August 1980

Project Number 2003233

LOG PEARSON TYPE 3 DISTRIBUTION

BACKGROUND

Log Pearson type 3 (LP) distribution is extensively used in hydrologic

frequency analysis. The traditional fitting procedure consists of transformation

of natural data into logarithms and fitting logarithmic data to a Pearson type 3

(P) distribution by the method of moments. In this method (logarithmic moments

method—LGMO) the quantiles of LP distribution, i.e., flood flows, low flows, etc.

for different return periods, are obtained on the basis of mean, variance, and

skewness coefficient of logarithmic data from the tables provided in Ref. 2.

Ref. 2 also describes the use of a regional skewness coefficient when the data

analyzed are flood flows.

Other methods of fitting LP distribution to hydrologic data have recently

been introduced CBobee (1), Rao (3, 4)3. In Bobee's method quantiles of LP dis-

tribution are obtained on the basis of the moments of real data (as opposed to

logarithmic data); however, Bobee's method uses the origin moments of data. By

a study conducted at this District, the writer has developed the following other

methods:

1. Method of Real Moments (RLMO); This is a variation of Bobee's

method. In this method the quantiles of LP distribution are

obtained on the basis of the more familiar statistical parameters,

mean, variance, and skewness coefficient (of real data) instead

of the origin moments used by Bobee.

2. Methods of Mixed Moments; In these methods the use of skewness

coefficient (the estimate of which is generally biased for small

sample sizes) is eliminated. Two variations of these methods

are available.

I. Method of Mixed Moments - I (MXM1); In this method the

quantiles of LP distribution are estimated on the basis

of the mean and variance of real data and the mean of

logarithmic data.

II. Method of Mixed Moments - II (MXM2): In this method

the quantiles are estimated on the basis of the mean

and variance of logarithmic data and the mean of real

data.

Details of ELMO, MXM1 and MXM2 methods are available in References 3 and 4.

EVALUATION OF LOG PEARSON QUANTILES

Mathematical evaluation of LP quantiles is quite involved; especially,

their evaluation by desk calculations is well nigh impossible. They are evaluated

by a computer program or generalized tables specially derived for the purpose.

A computer program was developed by the writer to obtain solutions of LP dis-

tribution by LGMO, RLMO, MXM1 and MXM2 using different mathematical and statis-

tical procedures described in References 3 and 4. Exhibit 1 shows typical com-

puter output from the program. CMaximum likelihood (MXLK) method mentioned in

Exhibit 1 is a different procedure, details of which will be presented in a

future publication.3 Generalized tables were also derived in terms of the

dimensionless variate K (see Ref. 3), to obtain LP quantiles for RLMO and MXM1

without using the computer program. These tables are included in this memorandum

(pp. 1 to 17) and their use is explained below. (To obtain LP quantiles for

MXM2 the tables available in Ref. 2 may be used as explained in Ref. 4.)

ii

USE OF THE TABLES

I. Method of Real Moments (RLMO) :

The following steps may be followed:

1. Obtain mean, X, of real data (X,, X , ...X....X ) by

xi

(N = sample size)

2. Convert data into dimensionless variables by K. = X./X.

3. Calculate the unbiased estimates of variance, S2 , and skewness

coefficient, CS , from dimensionless data by equations,ic

NVariance, S2 = , _ I, (K. - K)2 (2)

K ^ AN ~™ _L j m ^ -I J-

NSkewness N £ (K. - K)3 (3)Coefficient, k Sk

3 (N - 1) (N - 2) i=l x

Note that K, the mean of dimensionless data = 1.0.

4. Enter the tables and obtain K values of interest. Use interpolation,

if necessary.

5. Multiply K values obtained in Step 4 by X to obtain final results.

Example; For the sample in Exhibit I (annual flood flows), assume that

X, S2 and CS were calculated as 3392.5 cfs, 0.543, and 1.392,K. K,

respectively. Determine 100-year flood flow.

By interpolation, the tables (page 4) give K = 3.420. There-

fore, 100-year flood flow = 3.420 x 3392.5 = 11,600 cfs (rounded)

iii

II. Method of Mixed Moments - I (MXM1); In this method, the value of CS, isK.

selected on the basis of Y, the mean of logarithmic data, instead of

calculating by Eq. 3. Follow the following steps:

1. Perform Steps 1 and 2 of RLMO.

2. Obtain logarithmic mean, Y, of dimensionless data by

Y = i S In K. (4)N •

3. Calculate S2 by Eq. 2.

4. Enter Exhibit II and determine the value of CS , (Use interpolation,K.

if necessary) for Y and S2 calculated in the above steps.K

5. Perform Steps 4 and 5 of RLMO.

Example; For the sample in Exhibit I, X = 3392.5 cfs, Y = -0.2278 and

S2 = 0.5428. Determine 100-year flood flow,k

Exhibit II gives, by interpolation, CSfc = 2.338. Tables of

K values (pages 6-7) give, by interpolation, K = 3.6895 for

100-year return period. Thus, 100-year flood value =

3.6895 x 3392.5 = 12,500 cfs (rounded).

REFERENCES

1. Bobee, B., "The Log Pearson Type 3 Distribution and Its Application inHydrology," Water Resources Research, Vol. 11, No. 5,October 1975, pp. 681-689.

2. "Guidelines for Determining Flood Flow Frequency," Bulletin No. 17,Water Resources Council, Washington, D. C., 1976.

3. Rao, D. V., "Log Pearson Type 3 Distribution: A Generalized Evaluation,"Journal of the Hydraulics Division, ASCE, Vol. 106, No. HY5,May 1980, pp. 853-872.

4. Rao, D. V., "Log Pearson Type 3 Distribution: Method of Mixed Moments,"Journal of the Hydraulics Division, ASCE, Vol. 106, No. HY6,June 1980, pp. 999-1019.

iv

FREQUENCY ANALYSIS BY LOG PEARSON TYPE III DISTRIBUTION

»*** ECONLOCKHATCHEE RIVER NR CHULUOTA, FLA. -ANNUAL PEAK FLOWS(1936-75) IN CFS

]740.00I 190.00eseo.oo2230.00

1760.004240.003150.002150.00

1490.009470.002290.006050.00

2330.003610.004120.004230.00

950.OO7210.0010100.002070.00

2070.001960.003930.001340.00

1360.002590.001810.001500.00

1960.003980.003520.001490.00

6100.001 '/40 . 00S290.003750.00

8650.001330.001290.00610.00

*»* SAMPLE SIZE = 40 MEAN OF DATA*

I'i't'W KtAL MOMENTS METHOD .'-

MEAN, VARIANCE AND ShEU OF D-LESS DATA! 1.00000 0.54276 1.39154ESTIMATES OF PARAMETERS A, B. 8 C: -0.36410E 01 0.91203E 01 0.22132E 01ESTIMATES OF LOO MEAH. MAR AND SKEU: -0.29165 0.6879A -0.A622A

ppei? LOO MOMENTS METHOD:-

nf.AN VAF.' rtNO SKEU OF LOS DATA! -0.22780 0.44681 0.3V069(SriMATES OF PARAMETERS A. B. 8 C: 0.765S5E 01 0.26206E 02 -0.36497E 01ESTIMATES OF MEAN. VAR AND SKEW FOR REAL DATA: 1.01732 0.84682 5.59157

IJOP8 MIXED MOMENTS-I METHOD:-

MEftN, VARIANCE AND SKEU OF D-LESS DATA FIT: 1.00000 0.54276 2.33493ESTIMATES OF PARAMETERS A, fr I C'. -0.26020E'02 0.31633E 03 0.11929E 02ESTIMATES OF LOG MEAN, VAR AND SKEU: -0.22780 0.46722 -0.11245

(?(?<•«•> MIXED MOMENTS-I I METHOD!-

MEAN VAR ANIi SKEU Of- LOG DATA FIT: -0.22780 0.44681 0.08643FSJIMATES OF PARAMETERS A. p, 8 C'. 0.34620E 02 0.53552E 03 -0.15696E 02FSIIMATES OF MEAH, UAR AND SKEW FOR REAL. DATA: 1.00000 0.60639 3.07136

PPI.*[? MAXIMUM LIKELIHOOD METHOU:-

rRfAL ESTIMATES OF A, B. C, MEAN. VAR, I SKEU--0.11F 04 0.49E 06 0.4AE 03 0.9900 0.5342 2.60970..79E 01 0.70E 01 -0.20E 01 1.0483 1.5250 28.5667

SELECTED t,,l.,c: -0.10584E 04 0.48827E 06 0.46110E 03ESTIMATES OF LOG MEAN, VAR AND SKEU: -0.22773 0.43587 -0.00286

Crtl. 'Jrtl-UES OF VARIABLE K FOR SELECTED FREQUENCIESLOO PEARSON TYPE III DISTRIBUTION

NON-EXCEEDANCE PROBABILITY

METHOD(1 >

RLttOl.OhOMXM1MXM2hXLK

0.005

1 .005

200.(2)

0.0530. 1820. 1270.1500.145

0.010

1.010

100.(3)

0.0730 . 2040.1530.1750.171

0.020

1 . 020

50.<4>

0.1030.2330.1830.2080.205

0.040 0.100 0.20O 0.500 0.300

RECURRENCE INTERVAL IN YEARS FOR1.042 1.111 1.250 2. 5.

RECURRENCE INTERVAL IN YEARS FOR25. 10. 5. 2. 1.250(5) <6> (7) (8) (9)

0.147 0.243 0.387 0.8180.272 0.349 0.450 0.7620.234 0.329 0.450 0.8070.252 0.340 0.453 0.7890.251 0.342 0.457 0.797

1.5211.3751.4201.3931.388

0.900 0.960 0.980 0.990

THE ANNUAL LARGEST EVENTS10. 25. 50. 100.

THE ANNUAL SMALLEST EVENTS1.111 1.042 1.02"0 1.010(10) <11J (12) (13)

2.0041.9191.8961.8871.856

2.6002.7932.5652.6172.528

3.022 3.4203.599 4.5543.109 3.6903.241 3.9343.087 3.694

0.995

200.

1.005(14)

3.7965.6844.3094.7034.354

0.998

500.

1.002(15)

4.2617.4965. 1895.8495.313

0.999

1000.

1 .001(16)

4.5899.1505.9036.8246. 109

*t* VARIATE VALUES ***

i.'.TiF T-I.OS T-PKS

.005

.010

.020

.O'io

. i oo

.200

. 500

. POD

. vOO

.960

. 9f:0

. 9"V->

'i'C-J

1

200.

100.

50.

10.

50.1 OO .200 .,'jOO.

10J

BY RLMO

179248349500840

J 3 1. 22775515967993819102501 16021 28791445515567

.99

.92

.43

.27

.08

. 18

.58

.31

.24

.71

.83

.71

.0«

.33

. ?:_>

BY MXM1

432520637795

11161525273648186430R 7011054812S18146171760320027

.13

.67

.05

.43

. 26

.88

.12

.37

.80

.87

. 52

.32

.97

.64

.30

BY MXLK

4925606958491158155027024709A2948576

• 104721.2532147701B02420724

.38'

.74

.51

.91.

.96

.07

.42

.35

.93

.28

.42

.7A

.35

.89

.A9

BY LGMO

616692790921118515252586466465109476

1 2208154491.92822542931040

.80

.58

.28

.38

.27

.50

.61

.29

.AA

.05

. 77

.23

.87

.HA

.99

BY MXM2

S09595706855

1154153526754727640088731099313344159541984423149

.79

.32

.23

.30

.38

.12

.60

.12

.17

.03

.81

.46

.93

.07

.58 J

Final Results:Peak Flows in cfs

000.

^ 'fc-Return Period, in years, for flood flows-̂Return Period, in years, for low flows

Nonexceedance Probability

EXHIBIT - I

Logarithmic Mean (Y) Values for Different Variance (Sk) and Skewness Coefficients (C$k) of theDimensionless Variate, K

VARIANCEOF K

SKEUNESS COEFFICIENT

Xre00

(1)

0.030.040.050.060.070.080.090.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951.001.251 .501.752.002.252,50

-0-0-0-0-0-0-0-0-0-0-0-2

-177

-1.0(2)

.0181

.0253

.0331

.0416

.0509

.0610

.0720

.0842

.1681

.3261

.7117

.4547

.8600

-0.8(3)

-0.0175-0.0243-0.0316-0.0393.-0.0477-0.0566-0.0663-0.0767-0.1433-0.2491-0.4387-0.8574-2.2803-20.7087

-

-0.6(4)

-0.0170-0.0234-0.0302-0.0374-0.0450-0.0531-0.0616-0.0707-0.1259-0.2043-0.3226-0.5182-0.8925-1.8175-5.7979124.9000

-0.4(5)

-0.0165-0.0226-0.0290-0.0357-0.0427-0.0501-0.0578-0.0659-0.1131-0.1751-0.2591-0.3783-0.5584-0.8563-1.4235-2.7958-8.1761-92.3732

-0.2<6>

-0.0161-0.0219-0.0279-0.0342-0.0407-0.0475-0.0545-0.0619-0.1033-0.1546-0.2194-0.3030-0.4144-0.5689-0.7952-1.1521-1.7801-3.0910-6.7779-26. 1666

0.0(7)

-0.0157-0.0213-0.0270-0.0329-0.0390-0.0453-0.0518-0.0585-0.0956-0.1395-0.1922-0.2561-0.3351-0.4347-0.5631-0.7343-0.9716-1.3185-1.8628-2.8086-4.7237-9.7148-30.6443

0.2(8)

-0.0153-0.0207-0.0261-0.0317-0.0375-0.0434-0.0494-0.0556-0.0893-0.1279-0.1724-0.2243-0.2852-0.3576-0.4445-0.5506-0.6825-0.8500-1 .0684-1.3630-1.7775-2.3939-3.3816-5.1387-8.7888-18.5103

0.4(9)

-0.0150-0.0201-0.0254-0.0307-0.0362-0.0417-0.0474-0.0532-0.0841-0.1187-0.1575-0.2013-0.2510-0.3077-0.3729-0.4484-0.5367-0.6410-0.7657-0.9170-1.1037-1.3387-1.6417-2.0443-2.5992-3.4002-42.7478

•

0.6(10)

-0.0147-0.0196-0.0247-0.0298-0.0350-0.0402-0.0456-0.0510-0.0798-0.1112-0.1458-0.1839-0.2261-0.2729-0.3252-0.3836-0.4494-0.5239-0.6087-0.7060-0.8184-0.9496-1.1042-1.2888-1.5120-1.7864-5.0548-44.4770

0.8(11)

-0.0144-0.0192-0.0240-0.0289-0.0339-0.0389-0.0440-0.0492-0.0761-0.1051-0.1364-0.1703-0.2072-0.2473-0.2911-0.3390-0.3915-0.4493-0.5131-0.5839-0.6627-0.7508-0.8499-0.9620-1.0895-1.2357-2.4443-6.0138-30.2336

1.0(12)

-0.0141-0.0188-0.0234-0.0282-0.0329-0.0377-0.0426-0.0475-0.0729-0.0999-0.1287-0.1594-0.1924-0.2277-0.2656-0.3064-0.3503-0.3978-0.4491-0.5047-0.5651-0.6309-0.7029-0.7817-0.8684-0.9642-1.6368-2,9429-6.1837-19.4246

1.2(13)

-0.0138-0.0184-0.0229-0.0275-0.0321-0.0367-0.0413-0.0460-0.0701-0.0955-0.1222-0.1505-0.1805-0.2122-0.2458-0.2816-0.3196-0.3600-0.4031-0.4492-0.4983-0.5510-0.6074-0.6680-0.7333-0.8037-1.2556-1.9743-3.2464-5.9117-13.4035

1.4(14)

-0.0136-0.0180-0.0224-0.0268-0.0313-0.0357-0.0402-0.0447-0.0677-0.0917-0.1168-0.1431-0. 1706-0. 1996-0.2300-0.2621-0.2958-0.3313-0.3687-0.4082-0.4498-0.4939-0.5406-0.5900-0.6423-0.6980-1.0357-1 .5143-2.2314-3.3929-5.5003-10.0579

VARIANCEOF K

SKEUNESS COEFFICIENT

mXDCi — iCO1 — 1—11

1 1

1 — 1

^_^oo•̂

rt-_j.3ctt>0

(1)

0.030.040.050.060.070,080.090.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951.001.251.501.752.002.252.502.753.003.253.503.754.004.254.504.755.006.007.008.009.00

1.6(2)

-0.0134-0.0177-0.0220-0.0262-0.0305-0.0348-0.0392-0.0435-0.0656-0.0884-0.1121-0.1368-0.1625-0.1892-0.2172-0.2463-0.2768-0.3086-0.3419-0.3767-0.4131-0.4512-0.4912-0.5331-0.5770-0.6232-0.8931-1.2482-1.7307-2.4144-3.4388-5.0950-8.0782

-14.3940,

1.8(3)

-0.0131-0.0173-0.0215-0.0257-0.0299-0.0340-0.0382-0.0424-0.0637-0.0855-0.1081-0.1314-0.1555-0.1805-0.2065-0.2334-0.2613-0.2903-0.3204-0,3517-0.3842-0.4180-0.4532-0.4898-0.5279-0.5676-0.7933-1.0754-1.4351-1.9052-2.5392-3.4290-4.7439-6.8248

-10.4424

2.0( 4 )

-0.0129-0.0171-0.0211-0.0252-0.0293-0.0333-0,0374-0.0414-0.0620-0.0830-0.1045-0.1267-0.1495-0.1731-0.1974-0.2225-0.2485-0.2752-0.3029-0.3315-0.3610-0.3915-0.4231-0.4558-0.4896-0.5247-0.7197-0.9544-1 .2408-1.5955-2.0434-2.6224-3.3926-4.4540-5.9024-8.3214

-12. 1753

2.2(5)

-0.0128-0.0168-0.0208-0.0247-0.0287-0.0326-0.0366-0.0405-0.0604-0.0807-0.1014-0.1226-0.1444-0.1667-0. 1897-0.2133-0.2376-0.2626-0.2883-0.3147-0.3419-0.3699-0.3987-0.4284-0.4590-0.4905-0.6631-0.8651-1.1035-1.3879-1,7313-2.1523-2.6773-3.3458-4.2187-5.3933-7.0344-9.4365

-13. 1691

2.4(6 )

-0.0126-0.0165-0.0204-0.0243-0.0282-0.0320-0.0359-0.0397-0.0591-0.0787-0.0986-0.1190-0.1399-0.1612-0,1830-0.2054-0.2283-0.2518-0.2759-0.3006-0.3259-0.3519-0.3785-0.4058-0.4339-0.4626-0.6183-0.7964-1.0014-1 .2393-1.5174-1.8460-2.2384-2.7135-3.2975-4.0282-4.9621-6.1859-7.8386

-10.1539

2,6( 7 )

-0.0124-0.0163-0.0201-0.0239-0.0277-0.0315-0.0352-0.0390-0.0578-0.0768-0.0961-0.1158-0.1359-0.1563-0.1772-0.1985-0.2203-0.2426-0.2654-0.2886-0.3124-0.3367-0.3615-0.3869-0.4129-0.4395-0.5819-0.7419-0.9226-1.1277-1.3619-1.6310-1.9429-2.3074-2.7378-3.2518-3.8737-4.6376-5.5924-6.8103-8.4010

-10.5387

2.8< 8 >

-0.0122-0.0160-0.0198-0.0235-0.0272-0.0309-0.0346-0.0383-0.0566-0.0752-0.0939-0.1129-0.1323-0.1520-0.1721-0.1925-0.2133-0.2346-0.2562-0.2783-0.3007-0.3237-0.3470-0.3709-0.3952-0.4200-0.5517-0.6977-0.8599-1.0409-1.2437-1.4721-1.7307-2.0254-2.3636-2.7546-3.2107-3.7478-4.3876-5.1589-6.1022-7.2747

-16.7228

3.0( 9 )

-0.0121-0.0158-0.0195-0.0232-0.0268-0.0304-0.0340-0.0376-0.0556-0.0737-0.0919-0.1104-0.1291-0.1482-0.1675-0.1872-0.2072-0.2275-0.2482-0,2692-0.2906-0.3124-0.3345-0.3571-0.3800-0.4033-0.5264-0.6611-0.8088-0.9714-1 .1509-1.3498-1,5711-1.8185-2.0963-2.4101-2.7667-3.1746-3.6447-4.1909-4.8313-5.5899

-10.6627

3.2(10)

-0.0119-0.0156-0.0193-0.0229-0.0264-0.0300-0.0335-0.0370-0.0546-0.0723-0.0901-0.1081-0,1263-0.1447-0.1635-0.1825-0.2017-0.2213-0.2411-0.2613-0.2818-0.3025-0.3236-0.3451-0.3668-0.3889-0.5047-0.6302-0.7664-0.9146-1.0761-1.2529-1.4468-1.6602-1.8961-2.1578-2.4494-2.7760-3.1435-3.5596-4.0336-4.5772-7.8210

-14.7145

3.4(11)

-0.0118-0.0154-0.0190-0.0225-0.0261-0.0295-0.0330-0.0365-0.0537-0.0710-0.0884-0.1060-0.1237-0.1417-0.1598-0.1782-0.1969-0.2157-0.2349-0.2543-0.2739-0.2938-0.3140-0.3345-0.3553-0.3763-0.4861-0.6039-0.7306-0.8671-1.0146-1.1741-1.3471-1.5353-1 ,7406-1.9652-2.2118-2.4834-2.7837-3.1173-3.4893-3.9062-6.2118

-10.3750

3.6(12)

-0.0117-0.0153-0.0188-0.0223-0.0257-0.0291-0.0326-0.0360-0.0529-0.0699-0.0869-0.1040-0.1214-0.1389-0.1565-0.1744-0.1925-0.2108-0.2293-0.2480-0.2670-0.2861-0.3055-0.3252-0.3451-0.3652-0.4698-0.5811-0.7000-0.8270-0.9630-1.1088-1.2655-1.4343-1.6164-1.8135-2.0272-2.2597-2.5132-2.7906-3,0952-3.4307-5.1883-8.0320

-13.1375

3.8(13)

-0.0116-0.0151-0.0186-0.0220-0.0254-0,0288-0.0321-0.0355-0.0522-0.0688-0.0855-0.1023-0.1192-0.1363-0.1535-0.1710-0.1885-0.2063-0.2242-0.2424-0.2607-0.2792-0.2980-0.3169-0.3360-0.3554-0.4554-0,5613-0.6735-0.7926-0.9191-1.0538-1.1974-1.3508-1.5149-1.6908-1.8797-2.0831-2.3026-2.5399-2.7972-3.0769-4.4842-6.5888-9.9705

-15.9628

4.0( 1 4 )

-0.0114-0.0149-0.0183-0.0217-0.0251-0.0284-0.0317-0.0350-0.0515-0.0678-0.0842-0.1007-0.1173-0.1340-0.1508-0.1678-0.1849-0.2022-0.2197-0.2373-0.2551-0.2730-0.2911-0.3094-0.3279-0.3466-0.4427-0.5438-0,6504-0.7627-0.8814-1.0069-1.1397-1.2807-1.4303-1.5896-1.7592-1.9403-2.1340-2.3414-2.5641-2.8037-3.9719-5.6187-8.0644

-11.9491

VARIANCEOF K

SKEWNESS COEFFICIENT

1 1 1XIEi— iCO1— 1

1— 1

11 — 11 — 1

^ so03r+_j*3CCDo.

(1)

0.030.040.050.060.070.080.090.100. 150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951.001.251.501.752.002.252.502.753.003.253.503.754.004.254.504.755.006.007.008.009.00

10.00

4.2(2)

-0.0113-0.0148-0.0181-0.0215-0.0248-0.0281-0.0314-0.0346-0.0508-0.0669-0.0830-0.0992-0.1155-0.1318-0.1483-0.1649-0.1817-0.1985-0.2155-0.2327-0.2500-0.2674-0.2850-0.3027-0.3206-0.3387-0.4313-0.5283-0.6299-0.7366-0.8485-0.9663-1.0902-1.2209-1.3588-1.5046-1.6589-1.8224-1.9960-2.1805-2.3769-2.5864-3.5831-4.9253-6.8047-9.5675

-13.8897

4.4(3)

-0.0112-0.0146-0.0180-0.0213-0.0245-0.0278-0.0310-0.0342-0.0502-0.0660-0.0819-0.0978-0.1138-0.1299-0.1460-0.1623-0.1787-0.1952-0.2118-0,2285-0.2453-0.2623-0.2794-0.2966-0.3140-0.3315-0.4211-0.5145-0.6118-0.7135-0.8197-0.9308-1.0473-1.1694-1.2976-1.4323-1.5740-1.7234-1.8809-2.0473-2.2233-2.4096-3.2783-4.4063-5.9157-8.0105

-11.0515

4.6( 4 )

-0.0111-0.0145-0.0178-0.0210-0.0243-0.0275-0.0307-0.0339-0.0496-0.0653-0.0809-0.0966-0.1123-0.1281-0.1439-0.1599-0.1759-0.1921-0.2083-0.2247-0.2411-0.2577-0.2743-0.2911-0.3080-0.3250-0.4119-0.5020-0.5956-0.6929-0.7941-0.8996-1.0096-1.1245-1.2444-1.3699-1.5013-1.6391-1 .7836-1.9353-2.0949-2.2629-3.0332-4.0039-5.2570-6.9208-9.2056

4.8(5)

-0.0110-0.0143-0.0176-0.0208-0.0240-0.0272-0.0304-0.0335-0.0491-0.0645-0,0799-0.0954-0.1109-0.1264-0.1420-0.1577-0.1734-0.1892-0.2051-0.2211-0.2372-0.2534-0.2697-0.2860-0.3025-0.3191-0.4035-0.4907-0.5810-0.6745-0.7714-0.8719-0.9764-1.0850-1.1979-1.3156-1.4383-1.5663-1.7000-1 .8398-1.9861-2.1392-2.8317-3.6831-4.7506-6.1189-7.9195

5.0(6 )

-0.0109-0.0142-0.0174-0.0206-0.0238-0.0269-0.0301-0.0332-0.0486-0.0638-0.0791-0.0943-0.1095-0.1248-0.1402-0.1556-0.1711-0.1866-0.2022-0,2179-0.2336-0.2495-0.2654-0.2814-0.2975-0.3136-0.3959-0.4805-0.5678-0.6579-0.7509-0,8471-0.9467-1.0499-1.1569-1.2679-1.3832-1.5030-1.6276-1.7574-1.8926-2.0335-2.6632-3.4216-4.3495-5.5058-6.9765

5.5( 7 )

-0.0107-0.0139-0.0171-0.0202-0.0233-0.0263-0.0294-0.0324-0.0474-0.0623-0.0771-0.0918-0.1066-0.1214-0.1362-0.1510-0.1659-0.1808-0.1958-0.2108-0.2258-0.2409-0.2561-0.2713-0.2865-0.3018-0.3794-0.4586-0.5397-0.6227-0.7079-0.7953-0.8851-0.9775-1.0726-1.1704-1.2713-1.3753-1.4826-1.5933-1.7078-1.8261-2.3423-2.9395-3.6380-4.4642-5.4541

6.0(8)

-0.0105-0.0136-0.0167-0.0198-0.0228-0.0258-0.0288-0.0318-0.0464-0.0609-0.0754-0,0898-0.1041-0.1185-0.1328-0.1472-0.1616-0.1760-0.1904-0.2048-0.2193-0.2338-0.2483-0.2629-0.2774-0.2921-0.3658-0.4407-0,5169-0.5945-0.6736-0.7543-0.8367-0.9210-1.0072-1.0954-1.1858-1.2785-1.3734-1.4709-1.5709-1.6737-2.1145-2.6100-3.1714-3.8127--4. 5515

6,5(9 )

-0.0103-0.0134-0.0164-0.0194-0.0224-0.0253-0.0283-0.0312-0.0456-0.0598-0.0739-0.0880-0.1020-0.1160-0.1300-0.1439-0.1579-0.1719-0.1858-0.1998-0.2138-0.2277-0.2417-0.2558-0.2698-0.2839-0.3545-0.4259-0.4981-0.5713-0.6455-0.720$-0.7976-0,8756-0,9550-1.0359-1.1183-1.2024-1.2883-1.3759-1.4654-1.5569-1.9442-2.3702-2.8419-3.3673-3.9561

7.0(10)

-0.0101-0.0132-0.0162-0.0191-0,0220-0.0249-0.0278-0.0307-0.0448-0.0588-0.0726-0.0864-0.1001-0.1138-0.1275-0.1411-0.1547-0.1683-0.1819-0.1954-0.2090-0.2226-0.2361-0.2497-0.2633-0.2768-0.3449-0.4133-0.4822-0.5518-0.6221-0.6932-0.7653-0.8382-0.9122-0.9873-1.0636-1.1411-1.2198-1.2999-1.3814-1.4644-1.8119-2.1879-2.5967-3.0435-3.5342

7.5(11)

-0.0100-0.0130-0,0159-0.0188-0.0217-0.0246-0.0274-0.0302-0.0441-0.0579-0.0715-0.0851-0.0985-0.1119-0.1253-0.1386-0.1519-0.1652-0.1785-0.1917-0.2049-0.2181-0.2313-0.2444-0.2576-0.2708-0.3366-0.4025-0.4687-0.5353-0.6023-0,6699-0.7381-0.8070-0.8766-0.9470-1.0183-1 .0905-1.1636-1 .2377-1.3129-1.3892-1.7061-2.0443-2.4069-2.7974-3.2196

8.0(12)

-0.0099-0.0128-0.0157-0.0186-0.0214-0.0242-0.0270-0.0298-0.0435-0.0571-0.0705-0.0838-0.0971-0.1103-0.1234-0.1365-0.1495-0.1625-0.1754-0.1884-0.2013-0.2142-0.2270-0.2399-0.2527-0.2655-0.3294-0.3932-0,4570-0.5210-0.5853-0.6499-0.7149-0.7804-0.8463-0.9129-0.9801-1.0479-1.1165-1.1858-1.2559-1.3268-1.6194-1.9282-2.2556-2.6039-2.9759

8.5(13)

-0.0097-0.0126-0.0155-0.0183-0.0211-0.0239-0.0267-0.0294-0.0430-0.0564-0.0696-0.0828-0.0958-0.1088-0.1217-0.1345-0,1473-0.1601-0.1728-0.1855-0.1981-0.2107-0.2233-0.2358-0.2483-0.2608-0.3231-0.3850-0.4468-0.5086-0.5705-0.6326-0.6949-0.7574-0.8203-0.8837-0.9474-1.0116-1.0764-1.1417-1.2076-1,2741-1.5470-1.8324-2.1319-2.4476-2.7813

9.0( 1 4 )

-0.0096-0.0125-0.0153-0.0181-0.0209-0.0236-0.0264-0.0291-0.0425-0.0557-0.0688-0.0818-0.0947-0.1075-0.1202-0.1328-0.1454-0.1579-0.1704-0.1828-0.1952-0.2076-0.2199-0,2322-0.2445-0.2567-0.3175-0.3778-0.4378-0.4977-0.5575-0.6174-0.6773-0.7374-0.7977-0.8583-0.9191-0.9803-1.0419-1.1038-1.1662-1.2290-1.4856-1.7517-2.0289-2.3186-2.6222

TABLES OF K VALUES FOR SELECTED FREQUENCIES

These tables were derived by a computer program specificallydeveloped for the purpose using the theories described inRef. 3. Thus, the tables are deemed accurate. However, anyinaccuracies noticed may please be brought to the attentionof the author.

For each skew value, the tables are terminated when the formof LP type 3 density becomes U-shape or when the variancereaches a value of 10.0.

NON-EXCEEI'ANCE PRORABIL ITY0.005 0.010 0.020 0.040 0.100 0.200 0.500 0.800 0.900 0.940 0.980 0.990 0.995 0.998 0.999

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.005 1.010 1.020 1.0-12 1.111 1.250 2. 5. 10. 25. 50. 100. 200. 500. 1000.

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL SMALLEST EVENTSV A R I A N C E

< 1 )

0.010.030.050.07

0.010.030.050.07

0.010.03O.050.070.10

0.010.030.050.070.10

0.010.030.050.070.100. IS

O.010.03O.OS0.070.100.15

O.O10.030.050.070.100.150.20

0.010.030.050.070.100.150.20

0.010.030.050.070.100.15O.200.25

200.< 2 >

0.5740.2850.1230.036

0.5910.3130.1540.060

0.6080.3420.1860.0880.017

0.6250.3720.2300.1200.035

0.6420.4010.2540.1540.060O.OO5

0.66O0.4290.2880.1890.0900.016

0.6770.4580.3220.2250.1240.0340.005

0.6940.4860.3560.2610.1590.0590.016

0.7110.5140.3890.2970.1950.0890.0340.009

10O.< 3 >

0.6330.3620. 1880 . 074

0.6460.3870.2210.107

O.6590.4130.2540.1410.039

0.6730.4380.2870.1760.068

0.6860.4630.3190.2120.1010.013

0.7000.4830.3510.2480.1360.033

0.7140.5120.3820.2830.1730.0610.012

0.7280,5360.4120.3170.2100.0930.031

0.7420.5600.4420.3S10.2470.128O.OS70.020

SO.( 4 )

0.6970.4570.2840.148

0.7060.4770.3140.185

0.7150.4960.3430.2220.088

0.7240.5160.3720.2570.126

0.7340.5360.4000.2910.1650.037

0.7440.5550.4270.3250.2040.070

0.7540.3750.4530.3560.2420.1080.032

0.7640.5940.4780.3870.2780.1460.063

0.7750.6120.3030.4170.3130. 1850.0900.042

23.(5)

0.7660.5710.4190.281

0.7700.5830.4400.313

0.7750.5950.4600.3430.188

0.7800.6070.4800.3710.230

0.7860.6200.4990.3980.2680.099

0.7920.6330.5190.4240.3040.144

0.7980.6460.5380.4490.3370.1880.080

0.8040.6590.5570.4730.3690.2290.123

0.8110.6720.5750.4960.3980.2670.1650.090

10.( 6 )

0.8640.7530.6650.582

0.8620.7500.6620.580

0.8610.7490.6610.5810.461

0.8610.7490.6630.5860.474

0.8610.7500.667O.5930.4890.316

0.8620.7530.6720.6010.5040.351

0.8630.7560.6780.6110.5200.3810.250

0.8650.7610.6850,6210.5360.4090.293

0.8670.7650.6930.6320.5510.4350.3300.235

5. 2. 1.250 1.111( 7 ) < 8 > (9) (10)

SKEUNESS COEFFICIENT* -2

0.941 1.038 1.075 1.0800.904 1.07B 1.120 1.1220.885 1.112 1.142 1.1430.880 1.139 1.156 1.156


0.936 1.035 1.079 1.0870.892 1.072 1.130 1.1350.864 1.105 1.157 1.1600.846 1.136 1.174 1.175


0.932 1.031 1.082 1.0940.882 1.064 1.138 1.1490.847 1.095 1.172 1.1790.820 1.126 1.194 1.1970.789 1.170 1.214 1.214


0.928 1.027 1.084 1.1000.873 1.056 1.146 1.1640.834 1.083 1.185 1.2000.801 1.110 1.213 1.2230.757 1.154 1.241 1.245


0.923 1.023 1.086 1.1060.867 1.047 1.151 1.1780.824 1.069 1.195 1.2210.787 1.092 1.229 1.2500.737 1.130 1.267 1.2790.655 1.200 1.303 1.305

SKEUNESS COEFFICIENTS -1

0.922 1.019 .087 1.1120.862 1.038 .154 1.1900.817 1.055 .201 1.2400.778 1.073 .240 1.2770.724 1.103 .286 1.3160.637 1.160 1.340 1.353


0.920 1.015 1.088 1.1170.858 1.029 1.155 1.2010.812 1.042 1.204 1.2570.772 1.055 1.245 1.3000.717 1.076 1.297 1.3500.630 1.118 1.366 1.4050.539 1.170 1.415 1.435


0.918 1.011 1.088 1.1210.855 1.021 1.155 1.2090.808 1.030 1.204 1.2700.768 1.039 1.246 1.3190.714 1,053 1.301 1.3780.629 1.079 1.379 1.4510.544 1.112 1.443 1.500


0.917 1.007 1.087 1.1240.853 1.014 1.154 1.2160.807 1.019 1.202 1.2800.767 1.024 1.243 1.3320.713 1.032 1.298 1.3980.631 1.047 1.379 1.4840.552 1.065 1.451 1.5530.472 1.087 1.516 1.603

1.042(11)

.0

1.0821.1231.1431.156

.8

1.0901.1371.1601.175

.6

1.0991.1531.1801.1981.214

.4

1.1091.1721.2041.2251.245

.2

1.1201.1921.2321.2571.2821.306

.0

1.1301.2141.2621.2941.3261.356

.8

1.1411.2351.2921.3331.3751.4161.439

.6

1.1501.2551.3211.3711.4261.4851.518

.4

1.1591.2731 .3481.4061.4741 .5541 .60S1.638

1.020(12)

1.0821.1231.1431.156

1.0911.1371.1601.175

1.1011.1531.1801.1981.214

1.1131.1731.2051.2251.245

1.1261.1971.2341.2581.2821.306

1.1391.2231.2681.2981.3271.356

1.1531.2501.3061.3441.3821.4181.439

.167

.277

.345

.393

.443

.494

.522

1.1801.3041.3831.4421.5071.5781 .6201 .645

1.010(13)

1.0821.1231.1431.156

1.0911.1371 . 1601.175

1.1021.1541.1801.1981.214

.114

.174

.205

.225

.245

1.1291.1991.2351.2581.2821.306

1.1451.2281.2721.3001.3281.356

1.1621.2601.3141.3501.3851.4191.439

1 . 1801 .2941.3611.4061.4531,4971.523

1.1971.3291.4091.4671.5291 .5921.6261,647

1.005( 1 4 )

1.0821.1231.1431.156

1.0911.1371.1601.175

1.1021.1541.1801.1981.214

1.1151 .1741.2051.2251.245

1.1311.2001.2351.2591.2821.306

1.1491.2311.2731.3001.3281.356

1.169.267.319.353.386.419.439

1.1901.3061.3721.4151.4581.4991.523

1.2121.3481 .4291 ,4851 .5431 .5991.6291.64S

1 .002(15)

1.0821 .1231.1431.156

1.0911.1371.1601.175

1.1021.1541.1801.1981.214

.116

.175

.203

.223

.243

1.1331.2011.2361.2591.2821.306

1.1521.2331.2741.3011.3281.356

1.1751.2721.3221.3551.3861.4191.439

1.2011.3181.3811 .4221 .4611.5001.523

1.2281.3691 .4491.5021.5541 .6041 .6311 .648

1.001(16 )

1.0821.1231.1431.136

1.0911 .1371.1601.175

1.1021.1541.1801.1981.214

1.1161.1751.2031.2251.243

1.1331.2011.2361.2591.2821.306

1.1541.2341.2741.3011.3281.356

1.1791.2751.3241.3351.3871 .4191.439

1.2071.3251.3861.4251.4631 .5001.523

1.2381.3811 .4601.5111.5601.6051 .6311.648

- 1 -

0.005

1.005

0.010 0.020 0.040 0.100NON-EXCEEDANCE PROBABILITY

0.200 0.500 0.800 0.900 0.940 0.980 0.990

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.010 1.020 1.042 1.111 1..250 2. 5. 10. 25. 50. 100.

0,995

200.

0.998

500.

0.999

1000.

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL SMALLEST EVENTSVARIANCE

(1)

0.010.030.050.070.100.150.200.250.30

0.010.030.050.070.100.150.200.250.300.35

0.010.030.050.070.100.150.200.250.300.350.400.450.500.55

0.010.030.050.070,100.150.200.250.300.350.400.450.500.550.600.65

0.010.030.050.070.100. 150.200.250.300.350.400.450.500.550.600.650.700.750.80

200.(2)

0.7280.5410.4210.3320.2320.1220.0580.0230.007

0.7450.5670.4530.3670.2690.1570.0860.0430,0190.007

0.7610.5930.4840.4000.3040.1920.1170.0680.0370.0180.008O.OO30.001O.OOO

0.7770.6180.5130.4330.3390.2260.1-490.0950.0580.0340.0180.0090.0040.0020.0010.000

0.7930.6420.5410.4630.3720.2600.1810.1240.0830.0540.0330.0200.0110.0060.0030.0010.0000.0000.000

100.(3)

0.7550.5830.4700.3040.2830.1650.0880.0410.016

O.7690.6050.4980,4150.3170,2000.1210.0680.0340.015

0.7820.6270.5240.4450.3510.2360.1550.0970.0580.0320.0160.0070.0020.001

0.7950.6480.5500.4730.3820.2700.1880.1280.0840.0530.0320.0180.0090.0040.0020.001

0.8080.6680.5740.5010.4120.3020 , 2200.1590.1120.0770.0520.0330.0200.0120.0060.0030.0010.0010.000

50.(4)

0.7850.6300.5270.4450.3460.2220. 1340.0730.034

0.7950.6480.5490.4710.3770.2580.1710.1070.0610.032

0.8060.6650.5710.4970.4070.2920.2060.1410.0920.0560.0320.0160.0070.003

0.8160.6820.5920.5210.4350.3240.2390.1740.1230.0840.0550.0340.0200.0100.0050.002

0.8260.6980.6120.5440.4610.3530.2710.2060.1S40.1130.0810.0560.0370.0240.0140.0080.0040.0020.001

25.(5)

0.8180.6840.5930.5180.4260.3020.2050.1300.074

0.8250.6970.6100.5390.4510.3350.2430.1690.1110.067

0.8320.7100.6260.5590.4750.3650.2770.2050.1470.1010.0650.0390.0210.010

0.8390.7220.6420.5780.4980.3920.308O.2390.1820.1350.0970.0670.0440.0270.0150.008

0.8460.7340.6570.5950.5190.4180.3370.2700.2140.1670.1280.0960.0700.0490.0330.0210.0130.0070.004

10.(61

0.8690.7700.7000.6420.5670.4S80.3630.2770.200

0.8710.7760.7080.6530.5810.4790.3920.3130.2430.180

0.8740.7810.7160.6630.5950.4990.4170.3450.2800.2210.1700.1240.0860.055

0.8770.7870.7240.6730.6080.5170.4400.3730.3120.2580.2090.1650.127O.0930.0660.043

0.8800.7930.7320.6830.6200.5340.4610.3970.3400.2890 .2430,2010.1640. 1310.1010.0770.0560.0390.025

5 . 2 . 1 .250 1.111(7) (8) (9) (10)


0.916 1.003 1.086 1.1270.852 1.006 1.152 1.2210.806 1.009 1.199 1.2870.767 1.011 .239 1.3420.714 1.015 .292 1.4120.636 1.021 .371 1.5090.562 1.028 .443 1.5900.490 1.037 .511 1.6570.418 1.047 .577 1.713

SKEUNESS COEFFICIENT* 0

0.915 1.000 1.085 .1290.851 1.000 1.149 .2240.806 1.000 .194 .2920.767 1.000 .233 .3480.717 1.000 .283 .4200.642 1.000 .358 1.5210.573 1.000 .427 1.6090.507 1.000 .493 1.6880.443 1.000 .558 1.7580.379 1.000 1.621 1.820

SKEUNESS COEFFICIENT" 0

0.915 0.997 1.083 1.1300.852 0.994 1.145 1.2270.807 0.992 1.189 1.2940.769 0.990 1.226 1.3510.720 0.987 1.274 1.4230.648 0.983 1.344 1.5270.584 0.978 1.408 1.6180.523 0.972 1.469 1.7000.465 0.966 1.529 1.7770.408 0.960 1.588 1.8490.352 0,953 1.647 1.9160,298 0.945 1.706 1.9770.245 0.936 1.765 2.0330.194 0.925 1,825 2.084


0.915 0.993 1.081 1.1310.852 0.989 1.141 1.2280.808 0.985 1.183 1.2960.771 0.981 1.219 1.3520.724 0.977 1.264 1.4240.655 0.969 1.330 1.5270.594 0.961 1.389 1.6180.537 0.952 1.445 1,7010.484 0.943 1.498 1.7800.432 0.932 1.551 1.8540.383 0.921 1.604 1.9260.334 0.909 1.656 1.9940.288 0.896 1.709 2.0600.243 0.881 1.763 2.1230.200 0.865 1.818 2.1830.160 0.847 1.873 2.239

SKEUNESS COEFFICIENTS o

0.915 0.990 1.079 1.1320.853 0.983 1.137 1.2280.810 0,978 1.178 1.2960.774 0.974 1.211 1.3510.727 0.967 1.254 1,4220.662 0.957 1.316 1.5240.604 0.947 1.371 1.6140.550 0.936 1.421 1.6960.501 0.925 1.469 1.7730.453 0.913 1.516 1.8470.408 0.900 1,562 1.9180.364 0.386 1.608 1.9880.323 0.871 1.653 2.0550.282 0.855 1.699 2.1210.244 0.838 1.745 2.1860.207 0.819 1.793 2.2500.173 0.799 1.841 2.3110.140 0.777 1.890 2.3710.111 0.753 1.941 2.430

1.042(11)

( 2

1.1681.2891.3711.4361.5151.6151.6881.7411.777

.0

1.1751.3031.3911.4611.5491.6661.7581.8321.8891.934

.2

1.1821.31S1.4071.4821.5771.7061.8-121.9021.9792.04S2.0992.1432.1792.206

.4

1.1881.3261.4211.4991.5981.7361.8521.9542.0442.1262.1982.2622.3192.3682.4102.444

.6

1.1931.3351.4331.5131.6151.7581.8801.9892.0882.1802.2642.3422.415

.481

.542

.598

.648

.6922.731

1.020(12)

1.1931.3291.4181.4871.5681.6631.7261.7681.793

.205

.352

.451

.529

.623

.742

.829

.892

.9381.970

.216

.373

.480' .565

,671.810.918.005

2.0742.1282.1692.1992.2212.236

1.2261.3921.5051.5971.7121.8671.9932.0992.1892.2652.3292.3822.4252.4592.4862.506

1.2361.4091.5281.6251.7461.9142.053

"2.1732.2802.3742.4572.5312.5962.6532.7022.7432.7782.8062.828

1.010(13)

1.2141.362

.457

.527

.607

.695

.748

.7811.800

1.2311.3951.5021.5851.6821.7981.8771.9301.9651.987

1.2471.4251.5441.6381.7511.8952.0002.0792.1372.1792.2082.2272.2402.248

1.2621.4531.5831.6861.8141.9812.1112.2152.2982.3652.4172.4582.4872.5082.5242.533

1.2771.4791.6181.7301.869

.055

.206

.332

.439

.530

.606

.671

.725

.7682.8032.8302.8512.8652.875

1.005(14)

.233

.391

.488

.559

.636

.716

.761

.7871.802

1.2551.4331.5471.6331.7301.8401.9101.9531,9791.995

1.276.473.603.703.821.964

2.0642.1332.1792.2102.2302.2412.2482.252

1.2971.5111.6561.7691.9062.0802.2102.3082.3832.4382.4772.5062.5242.5352.5422.545

1.3161.5481.7051.8301.9842.1862.3432.4702.5732.6552.7222.7742.8152.8452.8672.8822.8912.8962.897

1.002(15)

1.2551.4221.5221.5911.6631.7331.7691.7911.804

1.2841.4771.5971.68S

.780

.881

.939

.971

.989

.000

1.3121.5311.6721.7791.9002.0382.1262.1822.2142.2342.2452.2492.2532.254

1.3401.5841.7451.8702.0172.1952.3182.4052.4652.5052.5282.5432.5512.5522.5532.552

1.3671.6351.8151.9572.1282.344

.504

.626

.718

.786

.836

.871

.894

.909

.916

.919

.918

.915

.910

1.001(16)

1.2701.4431.5421.6101.6781.7411.7731.7921.804

.304

.507

.630

.718

.811

.904

.953

.979

.9932.001

.337

.572

.720

.830

.9522.0842.1622.2072.2312.2442.2502.2522.2542.255

1.3711.6371.8101.9412.0932.2712.3872.4632.5112.5392.5532.5602.5622.5592.5572.554

1.4041.7001.8972.0502.2312.4542.6122.7272.8082.8632.9002.9232.9352.9392.9382.9342.9282.9212.914

- 2 -

0.005 0.010 0.020 0.040 0.100NON-EXCEEDANCE PROBABILITY

0.200 O.SOO 0.800 0.900 0.940 0.980 0.990 0.995 0.998

1.005 1.010 1.020RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.042 1.111 1.250 2. 5. 10. 25. 50. 100.

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL SMALLEST EVENTS

200. 500. 1000.

IANCE<1)

200. 100. 50. 25.(2) (3) (4) <5>

10.(6)

5.(7)

2.(8)

1 .250(9)

1.111(10)

SKEUNESS COEFFICIENT* 0.

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951.00

O.S08 0.821 0.836 0.8530.665 0.687 0.714 0.7450.568 0.597 0.631 0.6710.493 0.526 0.565 0.4120.403 0.441 0.405 0.5390.292 0.332 0.381 0.4410.212 0.251 0.300 0.3630.153 0.189 0.236 0.2980.109 0.140 0,184 0.2440.076 0.103 0.141 0.1970.051 0.074 0.107 0.1580.034 0.052 0.080 0.1250.022 0.035 0.058 0.0970.013 0.023 0.041 0.0740.008 0.015 0.028 0.0550.004 0.009 0.019 0.0400.002 0.005 0.012 0.0280.001 0.003 0.007 0.0190.000 0.001 0.004 0.0120.000 0.001 0.002 0.0070.000 0.000 0.001 0.0040.000 0.000 0.000 0.0020.000 0.000 0.000 0.001

0.8840.7980.7400.4920.4320.5490.4800.4190.3450.3170.2730.2330.1970.1440.1350.1090.0870.0470.0510.0370.0260.0130.011

0.9140.3540.8120.7770.7320.4480.4130.5420.5140.4710.4300.3890.3510.3140.2790.2440.2140.1840.1540.1290.1050.0840.045

0.9880.9790.9730.9670.9600.9480.9360.9240.9120.8990.8850.8700.8550.8390.8220.8040.7840.7640.7420.7190.6940.6670.639

SKEUNESS

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.350.900.95l.&O1.25

0.823 0.833 0.845 0.8600.687 0.7O6 0.729 0.7560.594 0.619 0.649 0.4850.521 0.551 0.584 0.4280.433 0.467 0.508 0.5570,324 0.361 0.407 0.4630.243 0.281 0.328 0.3870.182 0.218 0.264 0.3240.135 0.168 0.212 0.2710.099 0.128 0.169 0.2250.072 0.097 0.133 0.1860.051 0.072 0.104 0.1520.035 0.053 0.080 0.1230.024 0.038 0.060 0.0980,016 0.027 0.045 0.0780.010 0.018 0.033 0.0400.006 0.012 0.023 0.0460.004 0.008 0.016 0.0340.002 0.005 0.011 0.0250.001 0.003 0.007 0,0180,001 0.002 0.004 0.0120.000 0.001 0.003 0.0080.000 0.000 0.001 0.00130.000 0.000 0.000 0.000

0.8870.8040.7470.7010.6430.5430.4970.4390.3870.3410.2990.2410.2240.1940.1660.1400.1170.0940.0780.0620.0490.037O.O280.004

0.9140.8540.8140.7790.7340.4740.4210.5730.5290.4870.4480.4110.3750.3410,3090.2780.2480.2200.1940.1680.1450.1230 .1030.031

0.9850.9750.9470.9410.9530.9400.9270.9140.9010.8880.8740.8590.8440.828

.077

.133

.172

.204

.2451.3031.3531.4001.4431.4851.5251.5451.6041.6431.6821.7211.7401.8001.8401.8821.9241.9472.011

1.1321.2281.2951.3491.4201.5191.6071.6841.7411.8331.9021.9492.0352.1002.1442.2272.2892.3522.4132.4742.5342.5932.652

COEFFICIENT' 1

1.0751.1291.1441.1971.2351.2901.3371.3801.4201.4571.4931.5281.5421.596

0.812 1.6290.7940.7760.7570.7370.7160.6950.6720.6480.511

1.6611.6931.7241.7581.7911.8241.8571 .8912.068

1.1321.2271.2931.3471.4161.5131.5981.6751.7481.8161.8821.9472.0092.0712.1322.1922.2512.3102.3702.4282.4872.5462.4052.894

1.042(11)

8

1.1981.3421.4421.5241.4281.7741.9002.0132.1172.2142.3052.3912.4732.5512.4242.6942.7602.8212.8792.9322.9823.0283.070

.0

1.2021.3481.4491.5321.6381,7861.9132.0282.1352.2342,3292,4192,5062.5892.4492.7442.8212.8932.9423.0283.0923.1543.2113.459

1.020(12)

1.2451.4241.5471.44S1.7751.9522.1012.2322.3492.4572.5552.6442.7272.8022.8712.9342.9903.0403.0843.1233.1573.1863.210

1.2531.4371.5641.6681.8001.9822.1382.2762.4022.5182.6262.7272.8222.9102.9943.0723.1453.2143.2773.3373.3913.4413.4863.651

1.010(13)

1.2901.5031.6501.7681.9172.1202.2872.4312.5562.6672.7652.8522.9292.9943.0543.1043.1473.1823.2103.2343.2543.2493.280

1.3031.5251.4781.8021.9592.1742.3552.5122.4522.7792.8942.9983.0943.1813.2403.3323.3983.4573.5083.5543.5953.4293.6573.747

1.005(14)

1.3351.5821.7501.8862.0552.2802.4612.6132.7412.8512.9443.0223.0893.1443.1893.2253.2533.2743.2883.3003.3083.3123.313

1.3531.6131.7921.9372.1182.3632.5652.7372.8873.0183.1353.2383.3293.4093.4793.5403.5933.4383.4743.7063.7323.7S13.7443.793

1.002(IS)

1.3931.4841.8822.0392.2322.4832.4772.8322.9573.0583.1383.2023.2513.2883.3143.3323.3423.3473.3443.3443.3433.3393.333

1.4191.7301.9442.1152.3282.4092.8343.0203.1763.3073.4193.5133.5913.6553.7073.7503.7843.8083.8243.8373.8443.8483.8443.820

1.001(14)

1.4371.7411.9802.1542.3432.4302.8302.9843.1023.1933.2403.3103.3453.3473.3803.3843.3853.3803.3713.3433.3563.3483.339

1.4691.8202.0602.2522.4872.7943.0333.2253.3803. 5073.4103.6923.7573.8073.8433.8703.8903.9003.9013.9023.9003.8913.8783.828

- 3 -

NON-EXCEEDANCE PROBABILITY0.005 0.010 0.020 0.010 0.100 0.200 0.500 0.800 0.900 0.940 0.980 0.990 0.99S

1.005 1.010 1.020RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.012 1.111 1.25O 2. 5. 10. 25. SO. 100. 200.


0.998

500.

VARIANCE(1)

200.(2)

100.(3)

50.(4)

25. 10. 5. 2.(5 ) <6> (7) (8>

1.250(9 )

1.111(10)


0.010.030.050.070.100.150.200.250.300.350.100.150.50O.S50.600.650.700.750.800.850.900.951 .001.251.501.75

0.010.030.050.070.100.150.200.250.300.350.100.150.500.550.600.650.700.750.800.850.900.95I .00I. 251.501 .752.00

O.S360.7070.6180.5470.4620.3530.2720.2100.1610.1230.0930.0690.0510.0370.0260.0190.0130.0090.0060.0040.0020.0010.0010.0000.0000.000

0.8490.7270.6410.5720.4880.3810.30O0.2360.1860.1460.1140.0880.0680.0520.0390.0290.0210.0150.0110.0080.0050.0030.0020.0000.0000.0000.000

0.8450.7240.6400.5740.4930.3880.3080.2450.1940.1530.1200.0930.0720.0540.0410.0300.0220.0150.0110.0070.0050.0030.0020.0000.0000.000

0.8560.7400.66O0.5950.5160.4130.3340.2710.2200.1770.1430.1140.0910.0720.0560.0430.0330.0250.0190.0140.0100.0070.0050.0010.0000.0000.000

0.8550.7430.6660.6050.5290.4300.3530.2900.2380.1940.1580.1270.1020.0810.0630.0190.0370.0280.0210.0150.0100.0070.0050.0000.0000.000

0.8610.7570.6830.6230.5490.4530.3760.3140.2620.2180.1810,1500.1230.1010.0820.0660.0520.0410.0320.0250.0190.0110.0100.0020.000O.OOO0.000

0.867 0.891 O.917 0.9820.767 0.810 0.857 0.9710.6V8 0.755 0.816 0.9630.613 0.710 0.783 0.956O.574 0.653 0.710 0.9170.183 0.576 0.680 0.9330.409 0.512 0.629 0.9200.318 0.456 0.583 0.9070.295 0.407 0.541 0.8930.250 0.362 0.501 0.3800.211 0.322 0.464 0.8660.177 0.285 0.429 0.8510.143 0.252 0.396 0.8360.122 0.221 0.361 0.8210.100 0.193 0.331 0.8050.081 0.167 0.305 0.7890.065 0.114 0.277 0.7710.052 0.123 0.250 0.7540.011 0.101 0.225 0.7360.031 0.087 0.202 0.7170.024 0.072 0.179 0.6970.017 0.059 0.158 0.6770.013 0.048 0.138 0.6560.002 0.012 0.060 0.5410.000 0.001 0.017 0.1070.000 0.000 0.002 0.260

SKEUNESS

0.874 0.894 0.918 0.9800.778 0.816 0.859 0.9670.711 0.762 0.819 0.9590.657 0.718 0.786 0.9510.590 0.663 0.744 0.9420.501 0.588 0.686 0.9270.429 0.526 0.636 0.9140.369 0.472 0.592 0.9000.318 0.421 0.551 0.8870.273 0.381 0.511 0.8730.231 0.312 0.178 0.8590.201 0.307 0.115 0.8450.171 0.274 0.413 0.8310.145 0.244 0.383 0.8160.122 0.217 0.355 0.8010.102 0.192 0.327 0.7850.085 0.169 0.301 0.7690.070 0.148 0.276 0.7520.057 0.129 0.253 0.7350.016 O.lll 0.230 0.7180.037 0.096 0.208 0.7000.029 0.082 0.188 0.6820.023 0.069 0.169 0.663

1.0721.1211.1601.1901.2271.2781.323

.363

.399

.133

.166

.197

.527

.556

.585

.612.610.667.693.720.716.772

1.7981.9302.0682.220

1.1311.2261.2901.3441.4111 .5061.5891.6641.7331.7991.8621.9231.9822.0402.0982.1542.2092.2652.3202.3742.4292.1832.5382.8133.0943.380

COEFFICIENT" 1

1.0701.1201.1551.1831.2181.2681.3101.3471.3811.4131.4421.4701.4971.5231.5481.5731.5961.6191.6411.6631.6851.7061.727

0.005 0.025 0.089 0.562 1.8280.001 0.006 0.037 0.1510.000 0.001 0.011 0.3310.000 0.000 0.001 0.209

1.9272.0242.124

1.1301.2241.2881.3401.4061.4991.5791.6521.7191.7821 .8421.9001.9562.0112.0642.1172.1692.2202.2712.3212.3722.4222.4722.7212.9763.2393.513

1.012(11)

2

1.2051.3531.1551.5391.6451.7941.9222.0382.1452.2462.3412.4332.5212.6072.6902.7702.8482.9253.0003.0733.1113.2133.2813.5913.8501.049

.4

1.2081.3581.4601.5441.6501.7991.9272.0432.1502.2502.3462.4382.5262.6122.6962.7772.8572.9353.0113.0863.1603.2333.3053.6443.9544.2314.459

1.020(12)

1.2601.4491.5791.6851.8202.0072.1682.3112.4422.5642.6782.7862.8882.9863.0793.1683.2533.3343.4113.4853.5553.6223.6853.9484.1254.227

1.2671.4591.5921.7001.8372.0272.1912.3372.4722.5972.7162.8282.9353.0383.1373.2323.3243.4133.4993.5833.6633.7413.8154.1524.4214.626

'4.758

1.010(13)

1.3151.5451.7041.3331.9962.2212.4112.5792.7302.8682.9963.1143.2253.3273.4233.5133.5973.6743.7463.8133.8733.9313.9824.1714.2684.299

1.3261.5631.7261.8592.0282.2602.4582.6342.7932.9403.0773.2053.3263.4403.5493.6513.7493.3413.9294.0121.0901.1651.2311.5261.7194 .8434.890

1.005(14)

1.3701.6421.8301.9832.1742.4362.6542.8433.0103.1603.2963.4203.5323.6343.7263.8113.8873.9554.0174.0724.1181.1624.1984.3104.3394.327

1.3861.6701.8652.0242 .2252.5002.7312.9343.1153.2803.4313.5713.7003.8203.9324.0354.1324.2214.3034.3804.4494.5151.5724.7951.9084.9584.918

1.002(15)

1.4431.7742.0022.1862.4162.7242.9753.1883.3703.5303.6693.7923.8993.9924.0724.1424.2034.2524.2954.3304.3534.3794.3934.4134.3814.341

1.4671.8162.0562.2512.4962.8283.1023.3373.5433.7263.8904.0374.1694.2894.3974.4924.5794.6554.7244.7844.8354.8834.9185.0375.0515.0314. 977

1 .001( 16)

1.5001.8772.1362.3452.6032.9463.2203.4463.6363.7973.9341.0511.1191.2301.2964.3534.3974.4294.4574.4764.4834.4944.4934.4574.3964.315

1.5291.9302.2082.1322.7113.0863.3913.6183.8691.061

.230

.377

.505

.620

.7184.8024.8774.9394.9925.0375.0705.1025.1195.1605. 1125.0574.987

- 4 -

0.005 0.010 0.020 0.040 0.100

1.005 1.010 1.020

NON-EXCEEDANCE PROBABILITY0.200 0.500 0.800 0.900 0.960 0.980 0.990 0.995 0.998 0.999

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.042 1.111 1.250 2. 5. 10. 25. 50. 100. 200, 500.


1000.

VARIANCE(1)

200.(2)

100.(3)

50.( 4 >

25.(5)

10.(6)

5.(7)

2.(8)

1.250 1.111 1.042 1.020(9) (10) (11) (12)

1.010(13)

1.005(14)

1.002(15)

1.001(16)

SKEUNESS COEFFICIENT* 1.6

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951.001.251.501.752.002.25

0.8610.7450.6630.5960.5140.4070.3260.2620.2100.1690.1350.1080.0850.0670.0520.0410.0310,0240,0180,0130.0100,0070.0050.0010.0000.0000.0000.000

0.8660.7560.679O.6140.5380.4370.3580.2950.2430.2000.1650.1350.1100.089O.0720.058O.O440.0360.0280.0220.0170.0130.0090.0020.0000.0000.0000.000

0.8720.7700.6980.640O.5680.4730.3980.3360.2850.2410.2030.1710.1440.1200.1000.0830.0680.0560.0430.0360.0290.023O.O180.0040.0010.0000.0000.000

0.8810.7880.7230.6710.6050.5180.4480.3890.3380.2940.2560.2220.1920.1660.1430.1220.1040.0880.0740.0620.0520.0430.0350.0110.0020.0000.0000.000

0.8980.8210.7690.7240.4720.4000.5390.4870.4400.3980.3610.3260.2940.2650.2390.2140.1910.1700.1510.1340.1170.1030.0890.0400.0150.0040.0010,000

0.9190.8610.8210.7890.7480.6910.6430.4000.5410.5250.4910.4590.4290.4000.3730.3470.3220.2980.2740.2540.2330.2140.1950.1160.0600.0250.0080.001

0.9780.9640.9550.9470.9370.9220,9090.89S0.8820.8680.8540.8410.8260.8120.7970.7820.7670.7520.7360.7200.7030.6840,6490.5790.4820.3800.2760.174

1.067 1.129 1.211 1.273.116 1.222 1.361 1.469.149 1.285 1.464 1.603.176 1.336 1.547 1.712.210 1.401 1.654 1.S51.258 1.492 1.802 2.044.298 1.570 1.930 2.209.333 1.640 2.045 2.358.365 1.705 2.151 2.494

1.394 1.765 2.251 2.6221.422 1.823 2.346 2.7421.448 1.878 2.437 2.8571.472 1.932 2.525 2.9671.495 1.983 2.610 3.0731.518 2.034 2.693 3.1761.539 2.083 2.774 3.2751.560 2.132 2.853 3.3711.580 2.179 2.931 3.4451.400 2.227 3.007 3.5541.418 2.273 3.082 3.4441.437 2.319 3.154 3.7311.454 2.365 3.229 3.8151.672 2.410 3.302 3.8981.7S3 2.635 3.651 4.2791.826 2.861 3.981 4.6141.892 3.092 4.293 4.8971.953 3.332 4.582 5.1292.008 3.583 4.845 5.306

1.3361.5801.7471.8832.0552.2942.4982.6792.8442.9983.1413.2773.4053.5273.6443.7563.8643.9474.0454.1414.2524.3404.4234.7945.0865.3025.4505.537

1.4011.6951.8972.0622.2692.5562.7983.0113.2043.3803.5433.6963.8393.9734.0994.2184.3304.4374.5364.6314.7204.8054.8825.2085.4295.5655.6335.650

1.4891.8542.1072.3122.5492.9213.2143.4483.4943.8974.0814.2504.4054.5464.476A. 7974.9065.0095.1015.1865.2635.3345.3965.4275.7415.7735.7585.713

1.5581.9822.2752.5132.8103.2143.5453.8294.0774.2974.4934.6694.8274.9695.0945.2115.3125.4045.4855.5585.42O5.4745.7215.8475.8995.8665.8045.734

SKEHNESS COEFFICIENT" 1.8

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.450.700.750.800.850.900.951.001.251.501.752.002.252.502.75

0.8730.7620.6830.6180.5370.4320.3510.2860.2340.1910.1560.1270.1030.0830.0660.0530.0420.0330,0260.0200.0160.0120.0090.0020.0000.0000.0000,0000.0000.000

0.8760.7710.4960.6350.5590.4590.3810.3180.2660.2220.1850.1550.1290.1060.0880.0720.0590.0480.0390.0310.0250.0200.0150.0040.0010.0000.0000.0000.0000.000

0.8800.7820.7130.6560,5860.4920.4180.3570.3060.2420.2240.1920.1630.1390.1180.1000.0840.0700.0590.0490.0400.0330.0270.0080.0020.0000.0000.0000.0000.000

0.8870.7970.7340.4830.4200.5340.4650.4070.3570.3140.2760.2420.2120.1840.1620.1410.1220.1060.0910.0780.0660.0560.0480.0180.0060.0010.0000.0000.0000.000

0.9020.8270.7760.7340.6810.6100.5510.5000.4540.4140.3770.3430.3120.2840.2580.2340.2110.1910.1710.1540.1380.1230.1090.0560.0250.-0090.0020.0000.0000.000

0.9210.8630.8240.7920.7520.6940.4490.4080.5700.5350.5020.4710.4420.4150.3890.3440.3400.3170.2940.2750.2550.2340.2180.1410.0830.0430.0190.0060.0010.000

0.9760.9610.9510.9430.9330.9180.9040.8910.8770.8640.8500.8370.8230.8090.7950.7810.7660.7520.7370.7220.7060.6910.4750.5930.5040.4170.3260.2370.1550.086

1,044 1.128 1.213 1.2781.111 1.219 1.363 1.4771.144 1.281 1.464 1.4121.170 1.332 1.550 1.7221.203 1.394 1.454 1.8621.248 1.485 1.B04 2,0571.286 1.561 1.931 2.2231.320 1.629 2.045 2.3731.350 1.491 2.150 2.5111.378 "1.750 2.249 2.6391.404 1.805 2.343 2.7611.428 1.858 2.433 2.8781,450 1.909 2.520 2.9891.472 1.958 2.604 3.0971.492 2.006 2.485 3.2011.512 2.053 2.745 3.3021.530 2.098 2.843 3.4001.548 2.143 2.920 3.4971.545 2.187 2.995 3.5901.582 2.230 3.069 3.6821.598 2.273 3.142 3.7721.613 2.315 3.214 3.8601.428 2.356 3.286 3.9461.695 2.561 3.632 4 .3541.752 2 .761 3.965 4.7261.800 2,962 4,286 5.0621.840 3.168 4.597 5.3581.870 3.379 4.894 5.4201.891 3.600 5.179 5.8401.899 3.835 5 .442 6.015

1.3461.5941.7651.9042.0792.3232.5312.7162.8863.0443.1923.3333.4673.5953.7183.8343.9514.0414.1484.2714.3714.4484.5624.9915.3545.6555.8906.0766.2106.292

1.4151.7181.9262.0952.3092.4052.8553.0773.2783.4643.6373.7993.9524.0974.2354.3664 ,4914.6104.7244.8334.9375.0365.1325.5445.8626.0956.2496.3534.4074.421

1.5111.8912.1542.3472.6363.0053.3143.5843.8264.0464.2484.4344.6074.7674.9185.0575. 1895.3115.4265.5325.6335.7255.8126.1576.3734'. 5016.5436.5556.5336.490

1.5862.0302.3382.5882.9023.3303.4863.9924.2444.5074.7274.9285.1115.2785.4325.5725.7025.8205.9286.0276.1176.1976.2736.5404.6746.7116.6806.6356.5776.513

- 5 -

NON-EXCEEIiANCE PROBABILITY0.005 0.010 0.020 0.040 0.100 0.200 O.SOO 0.800 0.900 0.940 0.980 0.990 0.995 0.998 0.999

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.005 1.010 1.020 1.042 1.111 1.250 2. 5. 10. 25. 50. 100. 200. 500. 1000.


< 1 )200.< 2 )

100.(3)

50.( 4 )

25.(5)

10.( 6 )

5 .( 7 )

2.(8 )

.250 1.111(9) (10)


0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.450.700.750.800.850.900.95l.OO1.25

.50

.75

.00

.25

.50

.753.00

0.8830.7780.7010.4380.5590.4550.3740.3090.2560.2120.1750.1450.1200.0990.0810.0660.0540.0440.0350.0280.0220.0180.014O.OO40.0010.0000.0000.0000.0000.0000.000

0.8850.7850.7120.6530.5780.4800.4020.3390.2860.2420.2050.1730.1460.1230.1040.0870.0720.0600.0500.0410.0340.0270.0220.0070.0020.0000.0000.0000.000o.ooo0.000

0.8880.7940.7260.6710.6020.5100.4370.3760.3250.2610.2430.2100.1820.1570.1350.1160.0990.0850.0720.0610.0520.0430.0360.0140.0040.0010.0000.0000.000O.OOO0.000

0.8930.8070.7450.6950.6330.5490.4810.4240.3740.3310.2940.2600.2300.2040.1800.1530.1390.1220.1070.093O.O810.0700.0610.0270.0100.0030.0010.0000.0000.0000.000

0.9050.8330.7820.7410.6890,4200.5620.5120.4670.4280.3920.3590.3290.3010.2750.2510.2290.2090.1900.1720.1560.1410.1270.0720.0370.0170.0060.0020.0000.0000.000

0.9220.8650.8270.79S0.7540.7010.6550.6140.5780.5440.5120.4820.4540.4280.4020.3780.3560.3340.3130.2930.2740.2560.2380.1630.1040.0620.0330.0150.0050.0010.000

0.9740.958

.042 1.127

.107 1.2170.948 1.139 1.2780.940 .164 1.3280.930 1.194 1.3900.914 .240 1.4770.900 1.274 1.5520.887 .309 1.6130.874 1.337 1.6790.860 1.364 1.7350.8470.3340.8210.8070.7940.7800.7660.7520..7380.7240.7090.6940.6800.6040.5250.4450.3640.2850.2090. 1410.085

.388 1.739

.410 1.840

.431 1.888

.451 1.935

.470 1.981

.488 2.025

.505 2.068

.521 2.110

.536 2.151

.551 2.192

.565 2.232

.579 2.271

.592 2.309

.649 2.496

.494 2.477

.732 2.354

.760 3.030

.777 3.209

.784 3.392

.781 3.580

.765 3.776

SKEUNESS COEFFICIENT' 2

0.010.030.050.070.100.150.200.250.300.350.400.450.500.55O.AO0.650.700.750.800.850.900.951.001.251.501.752.00i r>5

2.502.753.003.50

0.8910.7930.7190.6570.5790.4760.3950.3300.2760.2320.1940.1630.1360.1140.0950.0790.0660.0540.0450.0370.0300.0240.0200.0060.0020.0000.0000.0000.0000.0000.0000.000

0.8930.7980.7270.6690.5960.4990.4220.3590.3060.2620.2240.1910.1640.1400.1190.1010.0860.0730.0610.0520.0430.0360.0300.0110.0030.0010.0000.0000.0000.0000.0000.000

0.8950.8050.7390.6850.6180.5270.4540.3940.3430.2990.2410.2280. 1990.1740.1510.1310.1140.0990.0850.0740,0630.0540.0460.0200.0070.0020.0010.0000.0000.0000.0000.000

0.8990.8150.7560.7070.6450.5620.4950.4390.3900.3480.3100.2770.2470.2200.1960.1750.1550.1380.1220.1080.0950.0840.0730.0360.0160.0060.0020.0010.0000.0000.0000.000

0.9O90.8380.7880.7480.6970.6290.5720.5230.4790.4400.4050.3730.3430.3160.2910.2670.2450.2250.2040.1890.1730.1570. 1430.0870.0490.0240.0120.0050.0020.0000.0000.000

0.9240.8680.8290.7980.7590.7060.6610.6210.5850.5520.5210.4920.46S0.4390.4150.3920.3490.3480.3280.3090.2900.2730.2540.1820. 1240.0800.0470.0260.0120.0050.0020.000

0.972 1.059 1.1250.956 1.103 1.2140.9450.937

1.134 1.2741.158 1.323

0.926 1.189 1.3850.911 1.232 1.4710.8970.8840.870

1.267 1.5431.298 1.6081.326 1.667

0.858 1.351 1.7220.845 1.374 1.7740.832 1.395 1.8230.819 1.415 1.8700.3060.7920.7790.7660.7520.7390.7250,712

1.434 1.9151.451 1.9581.448 2.0001.483 2.0411.498 2.0811.512 2.1201.526 2.1581.538 2.196

0.698 1.551 2.2320.6340.6130.5410.4670.3940.3220.2530.1890.1320.047

1.562 2.2681.613 2.4411.652 2.6051.681 2.7641.701 2.9181.711 3.0711.712 3.2241.703 3.3791.482 3.5341.402 3.864

1.042(11)

.0

.214

.365

.468

.552

.657

.8041.9302.0432.1472.2452.3382.4262.5122.5952.6752.7532.8302.9052.9783.0513.1223.1933.2633.6023.9284.2464.5574.8645.1615.4555.734

.2

.216

.367

.469

.552

.658

.804

.9282.0412.1442.2402.3312.4192.5032.5842.6632.7402.8142.3882.9603.0313.1013.1493.2373.5673.8834.1924.4944.7955.0915.3875.4794.249

1.020(12)

1.2831.4831.6201.7311.8722.0672.2342.3852.5232.4522.7752.8913.0043.1123.2173.3193.4183.5143.6103.7033.7953.8853.9734.3944.7855.151

'5.4895.8056.0856.3426.550

1.2871.4901.6271.7381.8802.0752.2432.3932.5322.6612.7842.9003.0133.1213.2263.3283.4283.5253.6213.7143.8063.3963.9854.4114.8125.1915.5535.8956.2176.5196.8027.27B

1.010(13)

1.3541.6081.7811.9222.1002.3472.5592.7472.9203.0813.2333.3773.5153.4473.7743.8974.0164.1314.2444.3534.4594.5624.6635.1325.5445.9114.2224.4924.7026.884A. 997

1.3621.6201.7961.9382.1182.3682.5822.7732.9483.1123.2663.4123.5523.6873.8173.9434.0654.1844.3004.4134.5234.6314.7375.2325.6836.0396.4596.7907.0757.3287.5457.846

1.005(14)

1.4281.7391.9532.1262.3452.6482.9053.1343.3423.5353.7153.8854.0464.1994.3464.4864.6214.7504.8754.9945.1105.2225.3295.8116.2086.5336.7786.9787.1017.2017.227

1.4411.7591.9772.1532.3772.6862.9493.1333.3973.5953.7813.9574.1244.2844.4374.5844.7264.863 .4.9965.1245.2495.3695.4866.0216.4846.8747.2137.4897.7057.8818.0153.137

1.002(15)

1.5311.9252.1972.4132.4973.0803.4033.6873.9424.1764.3924.5934.7314.9575.1245.2805.4295.5685.7025.8265.9466.0586.1656.6136.9407.1717.3047.3947.4097.4227.368

1.5511.9572.2372.4652.7523.1433.4823.7774.0444.2894.5174.7304.9315.1205.3005.4705.4335.7875.9364.0744.2124.3414.4437.0027.4297.7518.0008.1708.2708.3358.3708.319

1.001(16)

1.6132.0762.3972.6582.9873.4373.8124.1394.4304.6944.9355.1545.3415.5515.7275.8904.0446.1846.3196.4396.5576.4614.7417.1507.3947.5407.5817.5987.5427.5047.416

1.6392.1202.4532.7243.0653.5343.9274.2714.5794.8605.1195.3585.5815.7905.9866.1494.3434.5046.4594.3036.9407.0697.1387.4928.0598,2973.4608.5418.5548.5478.5178.330

- 6 -

0.010 0.020

1.005 1.010 1.020

NON-EXCEEDANCE PROBABILITY0.040 0.100 0.200 0.500 0.800 0.900 0.960 0.980 0.990

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.042 1.111 1.250 2. 5. 10. 25. 50. 100.

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL ShALLEST EVENTS

0.998 0.99?

VARIANCE(1)

200.<2)

100.(3)

50.(4)

25 .(5)

10.(6)

5.(7)

2.(8)

SKEUNESS

0.010.030.05O.070.100.150.200.2S0.300.350.400.450.500.550.400.650.700.750.800.850.900.951.001.251.501.752.002.252.502.753.003.504.004.50

0.8990.8060.7340.6740.5980.4960.4160.3500.2960.2500.2120.1800.1530.129O.1090.0920.0780.0650.0550.046O.0380.0320.0260.0100.0030.0010.0000.0000.0000.000o.ooo0.0000.0000.000

0.9000.8090.7410.6850.6130.5170.4400.3770.3240.2790.2410.2080.1800.1550.1340.1150.0990.0850.0730.0620.0530.0450.038O.O160.0060.0020.0010.0000.0000.0000.0000.0000.000o.ooo

0.9020.8150.7510.6980.6320.5420.4700.4100.3600.3160.2780.2440.2150.1890.1660.1460.1280.1120.0980.0860.0750.0650.0560.0260.0110.0040.0010.0000.0000.0000.0000.0000.0000.000

0.9050.8240.7650.7170.6570.5750.5090.4530.4050.3630.3250.2920.2620.2360.2120.1900.1700.1520.1360.1220.1080.0970.0860.0460.0230.0100.004O.001O.OOO0.0000.0000.0000.0000.000

0.913O.8430.7940.7550.7050.6370.5810.5330.4900.4520.4170.3360.3560.3300.3050.2820.2600.2400.2210.2040.1880.1730.1580.1010.0610.0350.018O.0090.0040.0010.0000.0000.0000.000

0.9250.8700.8320.8010.7630.7100.6660.6270.5910.559O.5290.5010.4740.4490.4260.4030.3820.3610.3420.323O.3050.2880.2710.1990.1420.0970.0620.0380.0210.0110.0050.000O.OOO0.000

0.9710.9540.9430.9340.9240.9080.8940.8810.8680.8550.8420.8300.8170.8040.7920.7790.7660.7530.7400.7270.7140.7010.6880.6210.5530.4860.4180.3520.2880.2280.1730.0830.0270.004

SKEUNESS

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951 .001.251 .501.752.002. 252.502.753,003.504.004.505.00

0.9060.8170.7490.6900.6160.5150.4350.3690.3140.2680.2290.1960.1680.1440.1230.1050.0890.0760.0650.0550.0470.0390.0330.0130.0050.0020.0000.0000.0000.0000.0000.0000.0000.0000.000

0.9070.8200.7540.6990.6290.5330.4570.3940.3410.2960.2580.2240.1950.1700.1480.1290.1120.0970.0840.0730.0630.0540.0460.0210.0090.003p. ooi0.0000.0000.0000.0000.0000.0000.0000.000

0.9080.8250.7630.7110.6450.5570.4850.4260.3750.3310.2930.2600.2300.2040.1810.1600.1420.1250.1110.0980.0860.0760.0660.0340.0160.0070.0030.0010.0000.0000.0000.0000.0000.0000.000

0.9100.8320.7740.7270.668O.S870.5210.466O.4180.3760.3390.3060.2770.2500.2260.2040.1840.1660.1500.1350.1210.1090.0980.0550.0300.0150.0070.0030.0010.0000.0000.0000.0000.0000.000

0.9160.8480.8000.7610.7120.6450.590O.542O.500O.4620.4280.3970.3680.3420.3170.2950.2730.2540.2350.2180.2020.1870.1720,1140.0730.0450.0260.0140.0070.0030.0010.0000.0000.0000.000

0.9270.8720.8350.8040.7660.7140.6710.6320.5980.5660.5360.5090.4830.4590.4360.4140.3930.3730.3540.3350.3180.3010.2850.2150.1580.1120.0770.0500.0310.0180.0090.0020.0000.0000.000

0.9690.9520.9410.9320.9210.9060.8920.8780.8660.8530.8400.8280.8160.8030.7910.7790.7660.7540.7410.7290.7160.7040.6910.4230.5640.5010.4380.3770.3180.2610.2090.1190.0540.0170.003

1.250(9)

1.111< 10)

COEFFICIENT- 2

1.0561.0991.1291.1531.1831.2241.2591.2891.3151.3391.3611.3811.4001.4181.4341.4501.4651.4791.4921.5041.5161.5271.5371.5821.6161.6401.6551.6621.6591.6471.6261.5531.4301.242

1.1231.2111.2711.3191.3801.4641.5351.5981.6561.7101.7601.8071.8521.8961.9381.9782.0172.0552.0922.1282.1642.1982.2332.3942.5442.6882.3262.9603.0903.2203.3493.6083.8734.158

COEFFICIENT' 2

1.0541.0951.1241.1481.1771.2181.2511.2801.3061.3291.3501.3691.3871.4041.4201.4351.4481.4611.4741.4851.4961.5061.5161.5571.5871.6071.6191.6231.6191 .6061 .5361.5191.4151.2671.067

1.1211.2081.2671.3151.3751.4571.5271 .5891.6461.6981.7471.7931.8371.8791.9191.9581.9962.0322.0672.1022.1362.1682.2012.3532.4932.6242.7492.3682.9833.0943.2023.4143.6193.8204.025

1.042(11)

.4

1.2161.3671.4701.5531.6571.8021.9262.0372.1392.2342.3242.4102.4932.5732.6502.7252.7992.8712.9413.0103.0783.1453.2113.5303.8364.1334.4254.7145.0005.2845.5706.1386.7037.273

.6

1.2171.3681.4701.5521.6561 .8001.9232.0332.1342.2282.3172.4022.4832.5612.6372.7112.7832.8532.9222.9893.0553.1213.1853.4953.7904.0764.3534.6304.9035.1745.4445.9896. 3377.0977,655

1.020(12)

1.2911.4951.6331.7451.8862.0822.2502.4002.5382.6672.7892.9063.0183.1263.2313.3333.4323.5293.4243.7183.8093.8993.9884.4154.8185.203

'5.5725.9286.2716.6014.9157.4957.9908.425

1.2941.4991.6381.7501.8912.0872.2552.4042.5422.6712.7932.9093.0203.1283.2323.3343.4323.5293.6243.7163.8073.8973.9854 .4094.8115.195

' 5 .5475.9266.2766.6156.9467.5768. 1638.A969.154

1 .010(13)

1.3701.6311.8081.9522.1342.3862.6022.7942.9713.1363.2923.4403.5823.7193.8513.979

.103

.224

.342

.458

.571

.6814.7905.3035.7766.2146.6186.9917.3377.6507.9318.3968.7198.956

1.3761.6411.8201.9652.1482.4022.6182.8122.9903.1563.3133.4623.6053.7433.8774.0044.1324.2544.3744.4914.4054.7184.8285.3535.3416.2976.7267.1297.5067.8618.1913. 7769.2599. 6409.892

1.005 1.002 1.001( 1 4 ) (15) (16)

1.452 1.569 1.6631.777 1.987 2.1611.999 2.275 2.5052.178 2.508 2.7852.405 2.803 3.1372.719 3.209 3.6222.987 3.553 4.0303.225 3.858 4.3893.443 4.134 4.7123.644 4.389 5.0083.834 4.424 5.2814.017 4.849 5.5364.189 5.040 5.7754.353 5.240 4.0004.512 5.451 4.2134.444 5.632 4.4134.812 5.807 4.4044.955 5.974 4.7835.094 6.135 6.9565.228 6.288 7.1185.359 6.437 7.2755.487 6.579 7.4235.611 4.716 7.5424.184 7.330 8.1706.697 7.840 8.6417.150 8.254 8.9947.545 8.587 9.2437.893 8.851 9.4218.195 9.055 9.5348.451 9.203 9.5978.443 9.302 9.4158.963 9.384 9.5599.102 9.341 9.4229.188 9.307 9.347

1.463 1.587 1.4871.794 2.014 2.2002.019 2.309 2.5542.201 2.548 2.8412.431 2.849 3.2042.749 3.244 3.7033.020 3.617 4.1243.262 3.929 4.4963.483 4.213 4.8313.689 4.476 5.1403.883 4.721 5.4264.067 4.953 5.6944.243 5.172 5.9474.411 5.381 6.1854.574 5.581 6.4114.730 5.772 6.6274.882 5.956 6.8325.030 6.133 7.0285.173 6.304 7.2155.312 6.468 7.3935 .448 6.627 7.5665.581 6.781 7.7305.710 6.930 7.8886.316 7.605 8.5836.864 8.185 9.1507.360 8.630 9.6047.808 9.095 9.9588.211 9.443 10.2288.571 9.727 10.4278.893 9.955 10.5679.175 10.136 10.6579.634 10.372 10.7289.955 10.479 10.692

10.154 10.435 10.40210.235 10.414 10.479

- 7 -

NON-EXCEEPANCE PROBABILITY0.005 0.010 0.020 0.040 0.100 0.200 0.500 0.800 0.900 0.940 0.980 0.990 0.99S 0.998 0.999


RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL SMALLEST EVENTSIANCE(1)

200.(2)

100.(3)

50.(4 )

25.(5)

10.(4)

5.(7 )

2.(8)

1 .250 1.111(9) (10)


0.010.030.050.070. 100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951.001.251.501.752.002.252.502.753.003.504.004.505.006.00

0.9130.8280.7620.7050.6320.5320.4520.3860.3310.2850.2450.2120.1830.1580.1360.1170.1010.0870.0750.0640.0550.0470.0400.0180.0070.0030.0010.0000.0000.0000.0000.0000.0000.0000.0000.000

0.9130.8300 . 7660.7120.6430.5490.4730.4100,3570.3120.2730.2390.2100.1840.1610.1410.1240.1080.0950.0830.0720.0630.0550.0270.012O.O050.0020.001O.OOO0.0000.0000.0000.0000.0000.0000.000

0.9140.8330.7730.7220.4380.5700.4990.4400.3890.3460.3070.2740.2440.2180.1940.1730.1540.1380.1220.1090.0970.0860.0760.0410.0210.010O.OO40.0020.001O.OOOO.OOO0.0000.0000.0000.0000.000

0.9150.8390.7830.7370.4780.5980.5330.4780.4310.3890.3520.319O.290O.2630.2390.2170.1970.1790.1620.1470.1330.1200.1090.0650.0370.0200.0100.0050.002O.001O.OOO0.0000.0000.0000.0000.000

0.9200.8530.8060.7670.7180.6520.5980.5510.5090.4720.4380.4080.3790.3530.3290.3070.2850.2660.2480.2300.2140.1990.1850.1270.0840.0540.0330.0200.0110.0060.0030.000O.OOO0.0000.0000.000

0.9290.8750.8380.8080.7700.7180.6750.6370.4030.5720.5430.5160.4910.4670.4440.4230.4030.3B30.3640.3470.3300.3130.2980.2280.1720.1270.0910.0630.0420.0260.0160.0040.0010.0000.0000.000

0.9680.9500.9390.9300.9190.9030.8890.8760.8640.8510.8390.8270.8150.8030.7910.7780.7660.7540.7420.7300.7180.7060.6940.6340.5730.5140.4550.3970.3420.2890.2390.1520.0830.0370.0110.000

SKEUNESS

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951.001.251.501 .752.002.252.502.753.003.504.004.505.006.00

0.91B0.8380.77 '40.7190.6470.5480.4680.4030.3470.3010.2610.2260.1970.1710.1490.1290.1120.0970.0850.0730.0640.0550.0470.0220.0100.0040.0020.0010.0000.0000.0000.0000.0000.0000.0000.000

0.9180.8390.7770.7240.6560.5630.4880.4250.3720.3270.2870.2530.2230.1970.1740.1530.1350.1200.1050.0930.0820.0720.0630.0320.0140.0070.0030.0010.0000.0000.0000.0000.0000.0000.0000.000

0.9190.8420.7830.7330.669O.S830.5120.4530.4030.3590.3210.2870.2570.2310.2070.1850.166O.1490.1340.1200.1070.0960.0860.0480.0260.0130.0070.0030.0010.0000.0000.0000 . 0000.000o.ooo0.000

0.9200.8460.791O.7450.6870.6080.5440.4890.4420.4010.3640.3310.3020.2750.2510.2290.209O.1910.1740.1580.1440.1310.1200.0740.0440.0250.0140.0070.0040.0020.0010.0000.0000.0000.0000.000

0.9230.856O.B110.7730.7250.6590.6050.5590.5180.4810.4480.4170.3890.3640.3400.3170.2970.2770.2590.2420.2240.2110.1970.1380.0950.0640.0410.0260.0150.0090.0050.0010.0000.0000.0000.000

0.9310.8770.8400.8100.7730.7220.6790.6420.6080.578O.5490.5230.4980.4750.4530.4320.4120.3920.3740.3570.3400.3240.3090.2410.1850.1400.1040.0750.0520.0350.0230.0080.0020.000O.OOO0.000

0.9670.9480.9370.9280.9170.9010.8870.8740.8620.8500.8380.8260.8140.8020.7900.7780.7670.7550.7430.7320.7200.7080.6970.6390.5810.5250.4690.4150.3630.3130.2650.1810.1110.0600.0260.002

1.051 1.1191.091 11.120 1

.205

.2631.143 1.3101.172 1.3701.211 1.4511.244 1 .5201.272 1.5811.297 1 .6361.319 1.6871.340 11.359 11.376 11.392 1

.735

.780

.823

.8431.407 1.9021.421 1.9401.434 1.9761.446 2.0111.458 2.0451.469 2.0781.479 2 .1111.489 2.1421.498 2.1731.535 2.3171.542 2.4481.580 2.5701.590 2.6841.592 2.7921.587 2.8941.574 2.9921.555 3.0861.494 3.2421.404 3.4281.280 3.5821.121 3,7240.493 3.977

COEFFICIENT* 3

1.0481.0831.1151.1381.1471.2051.2371.2451.2891.3111.3311.3491.3661.3811.3951.4091.421

.117

.202

.259

.306

.365

.445

.513

.573

.627

.477

.724

.748

.809

.849

.887

.923

.9591.433 1.9921.444 2.0251.454 2.0571.464 2.0881.473 2.1181.482 I1.1481.517 2.2851.541 2.4091.557 :1.566 .

;.S232.429

1.567 2.7271.561 2.8201.548 :1.9081.530 2.9911.475 3.1441.394 3.2801.289 3.4031.156 3.5100.011 3.671

1.042(11)

.8

1.217.348.469.552.655.798.920

2.0292.1292.2222.3092.3932.4732.5502.6242.6972.7672.8362.9032.9493.0343.0983.1403.4613.7464.0214.2884.5504,8035.0665.3215.8326.3486.8747.4138.538

.0

1.2171.3471.4491.5511.4541.7961.9172.0252.1232.2152.3022.3842.4632.5392.6122.6832.7522.8202.8862.9503.0133.0753.1363.4293.7053.9494.2244.4764.7214.9645.2055.6846.1644.6507.1478.198

1.020(12)

1.2971.5031.6421.7541,8952.0912.2582.4082.5452.6732.7942.9103.0213.1283.2313.3323.4303.5263.6203.7123.8023,3913.9784.3994.7965.177

'5.5465.9056.2546.5976.9327.5828.199a. 7979.349

10.288

1.3001.5061.6451.7571.8992.0942.2612.4102.5472.4742.7952.9103.0203.1263.2293.3293.4263.5213.6143.7053.7953.8823.9494.384A. 7775.153

'5.5175.8714.2174.5576.890

07.5398.1768.7839.385

10.502

1.010(13)

1.3821.6491.8301.9762.1602.4152.6332.8273.0063.1733.3303.4803.6243.7433.8974.0274.153A. 2774.3974.5154.6314.7444.8555.3875.8846.3526.7957.2187.6208.0028.3669.0339.613

10.12710.54411.074

1.3881.6571.8391.9862.1712.4262.6452.8403.0193.1863.3443.4943.6393.7783.9124.0424.1704.2934.4144.5334.6494.7634.8755,4105.9116.3866.8387.2727.4888.0898.4729.1899.857

10.44110.98111.832

1.005(14)

1.4741.8092.0372.2212.4532.7753.0493.2943.5183.7243.9234.1104.2884.4404.4254.7854.9405.0915.2385.3815.5205.4575.7904.4194.9947,5228.0088.4558.8479.2449.589

10.17210.62610.98811.22111.398

1.4831.8232.0532.2392.4742.7983.0753.3223.5483.7593.9574.1464.3274.5014.6684.8304.9885.1415.2915.4375.5795.7195.8556.5017.0947.4478.1418.6419.0909.5109.899

10.58411.18011 .64312.04012.529

1.002 1.001(15) (16)

1.604 1.7092.042 2.2362.341 2.5992.584 2.8932.891 3.2653.314 3.7763.673 4.2093.993 4.5924.283 4.9384.553 5.2584.805 5.5555.043 5.8345.270 6.0985.486 6.3495.693 6.5865.892 6.8146.084 7.0316.249 7.2416.448 7.4416.421 7.6356.789 7.8204.952 7.9977.111 3.1717.837 8.9428.475 9.5939.033 10.1349.520 10.5819.943 10.944

10.310 11.24310.424 11.47610.887 11.65411.270 11.85511.496 11.91311.644 11.91711.672 11.83611.563 11.610

1.619 1.7312.066 2.2712.371 2.4422.418 2.9422.929 3.3213.359 3.8443.724 4.2374.049 4.4794.344 5.0354.621 5.3634.879 5.6705.123 5.9595.355 6.2335.577 6.4935.791 6.7425.996 6.9796.195 7.2086.386 7.4286.572 7.6406.753 7.8446.927 8.0417.099 8.2337.244 8.4178.034 9.2548.718 9.9769.328 10.5939.874 11.121

10.360 11.57210.795 11.95511.181 12.27711.517 12.53712.039 12.88512.451 13.12412.682 13.18412.863 13.21412.946 13.089

- 8 -

NON-EXCEEDANCE PROBABILITY0.005 0.010 0.020 0.04O 0.100 0.200 0.500 0.800 0.900 0.940 0.980 0.990 0.995 0.998 0.999

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.005 1.010 1.020 1.042 1.111 1.250 2. S. 10. 25. 50. 10O. 200. 500. 1000.


(1)200.(2)

100.(3)

50.< 4 >

25.<5>

10.(6)

5.(7)

2 •(8)

SKEUNESS

0.010.030.050.070.100.150.200.250.300.3S0.400.450.500.550.600.650.700.750.800.850.900.951.001.251.501.752.002.252.502.753.003.504.004.505.006.007.00

0.9230.8460.7S50.7310.6610.5630.4840.4180.3620.3150.2750.2400.2100.1840.1610.1410.1230.1080.0940.0820.0720.0630.0550.0270.0130.0060.0020.0010.0000.0000.0000.0000.0000.0000.0000.0000.000

0.9230.8470.7870.7360.6690.5770.5020.4390.3860.3400.3010.2660.2360.2090.1860.1650.1470.1300.1160.1030.0910.0810.0710.0380.0200.0100.0050.0020.0010.0000.0000.0000.0000.0000.0000.0000.000

0.9230.8490.7920.7430.6800.5940.5240.4650.4150.3710.3330.2990.2690.2430.2190.1970.1780.1600.1440.1300.1170.1060.0950.0550.031O.O170.0090.0050.0020.0010.0000.0000.0000.0000.0000.0000.000

0.9240.8520.7990.7540.6960.6180.5540.5000.4530.4120.3750.3430.3130.2860.2620.2400.2200.2020.1850.1690.1550.1420.1300.0820.0510.0310.0180.0100.0050.0030.0010.0000.0000.0000.0000.0000.000

0.9260.8620.8160.7780.731O.6660.6120.5660.5260.4890.4560.4260.3990.3730.3490.3270.307O.2870.2690 . 2530.2370.2220.2080.1490.1050.0730.0490.0320.0200.0120.0070.0020.0000.0000.0000.0000.000

0.9330.8800.8430.8130.7760.7260.6830.6460.6130.5830.5550.5290.5050.4820.4600.4390.4200.4010.3830.3660.3500.3340.3190.2520.1970.1520.1160.0860.0630.0440.0300.0130.0040.0010.0000.0000.000

0.9660.9470.9350.9260.9150.8990.8860.8730.8600.8480.8360.8250.8130.8020.7900.7790.7670.7560.7440.7330.7220.7110.6990.6430.5880.5340.4810.4300.3800.3330.2880.2060.1370.0830.0440.007O.OOO

SKEUNESS

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951 .001.251.501.752.002. 252.502.753.003,504.004.505.006.007.00B. 00

0.9270.8540.7950.7420.6730.5770.4980,4320,3770.3290.2880.2530.2220.1960.1720.1520.1330.1180.1030.0910.0800.0700.0620.0320.0160.0080.0040.0020.0010.0000.0000.0000.0000.0000.0000.0000.0000.000

0.9270.8540.7970.7460.6800.5B9O.S140.4520.3990.3530.3130.2790.2480.2210.1970.1760.1570.1400.1250.1120.1000.0890.0790.0440.0240.0130.0060.0030.0010.0010.0000.0000.0000.0000.0000.0000.0000.000

0.9270.8S60.8000.7520.6900.6050.5350.4770.4270.3830.3450.3110.2810.2540.2300.2080.1880.1700.1540.1400.1270.1150.1040.0620.0370.0210.0120.0060.0030.0020.0010.0000.000O.OOO0.0000.0000.0000.000

0.9270.8580.8060.7610.7050.6270.5630.5100.4630.4220.3860.3530.3240.2970.2730.2510.2300.2120.1950.1790.1650.1510.1390.0910.0580.0370.0220.0130.0080.0040,0020.0000.0000.0000.0000.000o.ooo0.000

0.9290.8670.8210.7840.7360.6720.6190.5730.5330.4970.4640.4340.4070.3820.3580.3370.3160.2970.2790.2620.2460.2320.2180.1590.1140.0810.0570'.039 .0.0260.0170.0100.0040.0010.0000.0000.0000.0000.000

0.9350.8820.8460.8160.7790.7290.6870.6510.6180.5880.5600.5350.5110.4880.4670.4460.4270.4090.3910.3740.3580.3430.3280.2620.2080.1630.1270.0970.0720.0530.0380.0180.0070.0020.0010.0000.0000.000

0.9650.945O.9330.9240.9130.8980.8840.8710.8590.8470.8350.8240.8120.8010.7900.7790.7680.7560.7450.7340.7230.7120.7010.6470.5940.5430.4920.4430.3960.3500.307O.2290.1610.1060.0630.0150.0010.000

1.250(9)

1.111(10)

COEFFICIENT= 3.

1.0461.0841.1111.1341.1621.2001.2311.2581.2821.3031.3221.3401.3561.3711.3851.3981.4101.4211.4321.4421.4511.4601.4681.5011.5241.5381.5451.5451.5391.5271.5101.4591.3871.2941.1800.8920.540

1.1151.1991.2561.3021.3601.4401.5071.5661.6191.6681.7141.7571.7971.8361.8731.9081.9421.9752.0072.0382.0682.0972.1252.2572.3752.4822.5812.6732.7582.8372.9123.0473. 1643.2643.3493.4613.481

COEFFICIENT" 3.

1.0431.0811.1071.1291.1571.1941.2251.2521.2751.2961.3151.3321.3481.3621.3761.3881.4001.4111.4201.4301.4391.4471.4551 .4871.5081.5211.S271.5271.5211.5101.4931.4461.3811.2971.1970.9500.6500.337

1.1131.1951.2521.2981.3551.4341.5001.5591.6111.6591.7041.7461.7861.8241.8601.8951.9281.9601.9892.0212.0502.0782.1052.2322,3442.4462.5402.6252,7052.7782.8452.9673.0703.1543.2233.3073.3043. 184

1.042(11)

2

1.2171.3671.4681.5491.6521.7931.9132.0202.1182.2092.2942.3762.4532.5282.6002.6702.7382.8042.8692.9322.9943.0543.1143.3993.6663.9224.1684.4074.6414.8715.0985.5485.9946.4426.8987.8418.863

4

1.2161.3661.4671.5481.6501.7901.9102.0162.1122.2022.2872.3672.4442.5182.5892.6572.7242.7892.8502.9142.9753.0353.0933.3713.6313.87B4.11S4 .3444.5684.7R75.0025 . 4 2 45.8426.2566.6717.520S.4209.380

1 .020(12)

1.3021.5091.6481.7601.9012.0962.2632.4112.5472.6742.7942.9083.0183.1233.2253.3243.4213.5153.6073.6973.7853.8723.9584.3684.7555.1265.4845.8316.1726.5066.8347.4768.1058.7259.324

10.50311.611

1.3031.5111.6501.7621.9032.0982.2642.4112.5472.6732.7932.9063.0153.1193.2213.3193.4153.5083.5963.6883.7753.8613.9464.3514.7325.097

' 5.4485.7906.1236.4506.7727.4008.017a. 6269.228

10.40411 .55812.640

1 .010(13)

1.3931.6641.8471.9942.1802.4362.6552.8513.0303.1973.3553.SO63.6503.7893.9244.0544.1824.3064.4274.5464.6624.7764.8885.4245.9286.4066.8627.3027.7268.1368.5339.2869.994

10.65711.25512.31713.117

1.3981.6711.8542.0022.1882.4452.6642.8593.0393.2063.3643.5153.6593.7983.9334.0634.1904.3144.4324.5544.6704.7854.8975.4335.9376.4166.8757.3167.7438.1588.5629.334

10.06810.77011.43012.60613.62814.370

1.005 1.002 1.001(14) (15) (16)

1.492 1.634 1.7521.836 2.089 2.3032.068 2.399 2.6812.256 2.649 2.9882.492 2.965 3.3742.B19 3.400 3.9063.097 3.771 4.3573.346 4.100 4.7573.574 4.401 5.1223.786 4.681 5.4583.987 4.944 5.7744.177 5.193 6.0714.360 5.430 6.3534.535 5.657 6.6214.704 5.876 6.8794.869 6.087 7.1265.028 6.290 7.3645.183 6.488 7.5935.334 6.680 7.8145.482 6.866 8.0275.627 7.047 8.2365.769 7.224 8.4375.908 7.395 8.6316.566 8.200 9.5287.175 8.922 10.3077.743 9.574 10.9888.278 10.167 11.5888.781 10.707 12.1139.259 11.199 12.5759.710 11.646 12.978

10.135 12.048 13.32110.906 12.719 13.84211.590 13.248 14.20412.189 13.663 14.44612.679 13.928 14.53813.441 14.256 14.57013.870 14.279 14.422

1.500 1.649 1.7711.848 2.111 2.3342.082 2.424 2.7192.271 2.678 3.0302.509 2.997 3.4222.837 3.437 3.9633.117 3.812 4.4223.367 4.146 4.8293.596 4.451 5.2003.810 4.735 5.5444.012 5.002 5.8664.204 5.255 6.1714.388 5.496 6.4604.564 5.728 6.7364.735 5.950 7.0014.900 6.166 7.2565.061 6.374 7.5015.218 6.576 7.7395.366 6.766 7.9615.520 6.964 8.1915.666 7.150 8.4075.810 7.332 8.6165.950 7.509 8.8216.618 8.341 9.7637.233 9.096 10.5987.820 9.786 11.3418.370 10.420 12.0048.892 11.003 12.5939.386 11.536 13.1139.860 12.033 13.587

10.313 12.492 14.00811.145 13.280 14.67711.901 13.938 15.18812.589 14.432 15.57113.195 14,908 15.32314.155 15.421 15.99414.844 15.673 15.98015.197 15.633 15.792

- 9 -

NON-EXCEEDANCE PROBABILITY0.005 0.010 O.020 0.040 0.100 0.200 0.500 0.800 0.900 0.940 0.980 0.990 0.99S 0.998 0.99?


RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL SMALLEST EVENTS-;IANCE

( 1 )200.( 2 )

100.(3)

50.( 4 )

25 .(5)

10.( 6 )

5.( 7 )

2.( 8 )

.250( 9 )

1.111( 10 )


0.010.03O.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951.001.251.501.752.002.252.502.753.003.504.004.505.006.007.008.00

0.9310.8610.8030.7530.6850.5900.5110.4460.3900.3420.3010.2650.2340.2070.1830.1620.1430.1270.1130.10O0.0880.07B0.0690.0370.0190.0100.0050.0020.001O.OOOO.OOO0.0000.0000.0000.000o.ooo0.0000.000

0.9310.8610.8050.7560.6910,6010.5260.4640.4110.3650.3250.2900.2590.2320.2080. 1860.1670.1500.1350.1210.1080.0970.0870.0500.0280.016O.O080.0040.0020.0010.0000.0000.0000.0000.0000.0000.000o.ooo

0.931O.B620.0080.7610.7000.6150 . 5460.4880.4380.3940.3560.3220.2910.2640.2400.2180.1980.1800.1640.1490.1360.1230.1120.0690.0420.0250.0150.0080.0050.0020.0010.0000.0000.0000.0000.0000.0000.000

0.9310.864O.B130.7690.7130.6350.5720.5190.4720.4310.3950.3630.3330.3070.2820.2600.2400.2210.2040.1890.1740.1610.1480.0990.0650.0420.0270.0170.0100.0060.0030.0010.0000.000O.OOO0.0000.0000.000

0.9320.8710.8260.7890.7420.6780.625O.5790.5400.5040.4720.4420.4150.3900.3670.3450.3250.3060.2880.2710.2560.2410.2270.1680.1230.0900.0640.0450.0310.0210.0140.0050.0020.0000.0000.0000.0000.000

0.9370.8850.8480.8190.7820.7320.6910.6540.6220.5920,5650.5400.5160.4940.4730.4530.4340.4160.3980.382O.3660.3510.3360.2720.2180.1740.1370.1070.0820.0620.0460.0240.0110.0040.0010.0000.0000,000

0.964 .0410.944 1.0770.9320.9230.9120.8960.3830.8700.8580.8460.8350.8230.8120.801O.7900.7790.7680.7570.7460.7350.7250.7140.703

.104

.125

.153

.190

.220

.246

.269

.289

.308

.325

.340

.354

.367

.379

.391

.401

.411

.420

.429

.436

.4440.651 1.4740.600 .4940.550 1.5070.501 1.5120.454 .5120.409 1.5060.366 1.4950.324 1.4800.248 .4360.182 1.3750.127 1.3000.083 .2100.027 0.9920.005 0.7320.000 0.453

1.1101.192

.248

.294

.351

.429

.494

.552

.604

.651

.6961.7371.7761.8131.8481.8821.9151.9461.9762.0052.0332.0602.0872.2092.3172.4152.5032.5842.6582.7262.7892.9002.9923.0663.1233.1883.1763.066

SKE-UNESS COEFFICIENT- 3

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951 .001.251 .501.752.002 . 252.502.753.003.504.004.505.006.007.008.009.00

0.9340.8670.8110.7620.6960.6020.5240.4580.4020.3540.3130.2770.2450.2180.1940.1720.1530.1360.1210.1080.0960.0850.0760.0420.0230.0120.0060.0030.0020.0010.0000.0000.0000.0000.0000.0000.0000.0000.000

0.9340.8670.8130.7640.7010.6110.3380.4750.4220.3760.3360.3010.2700.2430.2180.1960.1770.1590.1440.1290.1170.1050.0950.0560.0330.0190.0100.0060.0030.0020.0010.0000.0000.0000.0000.0000.0000.0000.000

0.9340.8680.8150.7690.7080.6250.5560.4980.4480.4040.3660.3320.3010.2740.2500.2280.2080.1890.1730.1580.1440.1320.1200.0760.0480.0290.0180.0100.0060.0030.0020.0000.0000.0000.0000.0000.0000.000o.ooo

0.9340.8690.8190.7760.7200.6430.5810.5270.4810.4400.4040.3720.3420.3160.2920.2690.2490.2300.2130.1970.1830.1690.1570.1060.0720.0480.0310.0200.013O . O O Q0.005O.O010.0000.0000.0000.0000.000o.oooo.ooo

0.9350.8750.8300.7940.7470.6830.6310.5860.5460.5110.4780.4490.4220.3970.3740.3530.3330.3140.2960.2800.2640.2490.2350.1760.1320.0970.0710.0510.0360.0250.0170.0070.0030.0010.0000.0000.0000.0000.000

0.9380.8870.8510.8220.7850.7350.6940.6580.6260.5970.5700.5450.5210.4990.4780.4590.4400.4220.4050.3890.3730.3580.3440.2800.2270.1830.1460.1160.0910.0700.0530.0290.0150.0070.0030.0000.0000.0000.000

0.963 1.0380.943 1.0740.931 .1000.922 1.1210.910 1.1480.895 .1850.881 1.2150.869 .2410.857 1.263O.845 1.2830.834 .3010.823 1.3180.812 .3330.801 1.3470.7900.7790.7680.7580.747

.360

.371

.382

.393

.4020.737 1.4110.726 1.4190.7160.7050.6540.6050.5570.5100.4650.4210.3790.3390.2660.2020.147

.427

.434.463.482.494.499.498.492.482.468.426.370.301

0.101 1.2200.040 .0250.010 0.7960.001 0.5470.000 0.306

1.1081.1891.2451.2901.3471.4241.4891.5461.5971.6441.6871.7281.7671.8031.8381.8711.9021.9331.9621.9912.0182.0452.0702.1892.2932.3862.4712.5482.6182.AB12.7402.8422.9252.9923.0423.0943.0772.9812.781

1.042( 1 1 )

.6

1.2161.3651.4651.5461.6481.7871.9062.0112.1072.1962.2802.3592.4352.5082.5782.6462.7112.7752.8372.8982.9583.0163.0733.3443.5983.8374.0664.2874.5014.7114.9155.3145.7046.0906.4727.2448.0388.884

.8

1.2151.3631.4641.5441.64S1..7841.9022.0072.1022.1902.2732.3522.4272.4982.5672.6342.6992.7622.0232.8832.9412.9993.0543.3203.5673.8004.0224.2354.4414.6414 . 8375.2155.5825.9426.2976.9997.7118.4399.227

1 .020(12)

1.3051.5121.6521 .7641.9052.0992.2642.4122.5462.6722.7912.9033.0113.1153.2163.3133.4083.50O3.5903.6793.7653.8503.9344.3334.7095.0675.4125.7476.0736.3926.7067.3207.9228.5159.101

10.26511.41912.553

1.3061.5141.6531.7651.9062.0992.2642.4112.5452.6702.7882.9003.0083.1113.2103.3073.4013.4923.5823.6693.7553.8393.9214.3164.6865.0385.3775,7046.0246.3366.6417,2407,3258.4008.968

10.09811.21712.33313.474

1 .010(13)

1.4021.6761.8612.0092.1952.4522.6712.8673.0463.2143.3723.5223.6663.8053.940

.070

.197

.321

.441

.560

.6764.7904.9025.437S.9406.4186.8767.3197.7478.1638.5699.351

10.10210.82111.51312.79813.94914.938

1.4061.6811.8662.0152.2012.4582.6782.8733.0533.2203.3783.5283.6723.8103.9454.075

.201

.325

.445

.563

.679

.7934.9045.4385.9336.4156.8727.3137.7408. 1578.5619.348

10.10410.83311.53812.87814.10815.21816.227

1.005(14)

1.5081.8592.0952.2852.5242.8543.1353.3863.6173.8314.0344.2274.4114.5894.7614.9275.0895.2475.4015.5515.6995.8435.9856.6607.2887.8798.4408.9749.4869.972

10.44411.32212.14012.88913.57414.75015.66316,294

1.5151.8692.1062.2972.5372.8683.1513.4033.6343.8504.0534.2474,4324.6114.7834.9505.1135.2715.4265.5775.7265.8716.0146.6937.3267.9248.4939.0359.558

10.06010.54011 .46012.31613.11313.05615.17416.26617.11317.766

1.002 1.001(15) (16 )

1.662 1.7902.131 2.3632.448 2.7542.704 3.0693.026 3.4673.471 4.0153.850 4.4804.187 4.8944.496 5.2714.783 5.6215.053 5.9505.310 6.2605.555 6.5565.790 6.8396.016 7.1106.235 7.3716.447 7.6246.653 7.8686.853 8.1057.048 8.3347.239 8.5587.425 8.7767.607 8.9868.463 9.9739.244 10.8519,963 11.642

10.629 12.35911.249 13.00811.826 13.59512.358 14.11812.861 14.60313.748 15.40714.529 16.07615.186 16.59115.731 16.97416.534 17.43417.007 17.57317.184 17.500

1.675 1.8082.150 2.3912.470 2.7862.729 3.1063.054 3.5083.502 4.0633.884 4.5344.224 4.9534.536 5.3364.826 5.6915.099 6.0255.359 6.3415.607 6.6425.845 6.9316.074 7.2086.296 7.4756.511 7.7336.720 7.9846.924 8.2267.123 8.4637.317 8.6927.506 8.9167.692 9.1358.566 10.1539.369 11.071

10.112 11.90510.804 12.66511.451 13.35912.063 14.00412.638 14.59313.169 15.12014.154 16.07115.022 16.85815.781 17.50116.435 1R.01417.466 18.71410.147 19.05318.551 19.11918.745 19.083

- 10 -

NON-EXCEEHANCE PROBABILITY0.005 0.010 0.020 0,040 0.100 0.200 0.500 0.800 0.900 0,940 0.980 0.990 0.995 0.998 0.999

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.005 1.010 1.020 1.042 1.111 1.250 2. 5. 10. 25. 50. 100.

RECURRENCE INTERVALVARIANCE

(1)200.(2)

100.(3 )

so.< 4 >

25.(5)

10.(6)

5.(7)

IN YEARS FOR THE ANNUAL SMALLEST EVENTS2.

(8)

SKEUNESS

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.400.650.700.750.800.850.900.951.001.251.501.752.002.252.502.753.003.504.004.505.006.007.008.009.00

10.00

0.9370.8720.8190.7710.7060.6130.5350.4700.4140.3660.3240.2880.2560.2280.2030.1820.1620.1450.1300.1160.1040.0930.0830.0470.0270.0150.0080.0040.0020.0010.001o.ooo0.0000.0000.0000.0000.0000.0000.0000.000

0.9370.872O.B200.7730.7100.621O.S480.4860.4330.3870.3470.3110.2800.2530.2280.2060.1860.1680.1520.1380.1240.1130.102O.O620.0370.0220.0130.0070.0040.0020.0010.0000.0000.000O.OOO0.0000.0000.000o.ooo0.000

0.9370.8730.8210.7760.7160.6330.5650.5070.4570.4140.3750.3410.3110.2830.2590.2370.2160.1980.1010.1660.1520.1400.1280.0830.0530.0340.0210.0130.0080.0040.0030.0010.0000.0000.0000.000o.ooo0.000o.ooo0.000

0.9370.8740.8250.7820.7270.6510.5880.5350.4890.4490.4120.3800.3510.3240.3000.2780.2580.2390 .2220.2060.1910.1770.1650.1140.0780.0530.0360.0240.015O.0100.0060.0020.0010.0000.0000.0000.0000.0000.0000.000

0.9380.8790.8350.7980.7520.6880.6360.5910.5520.5170.4850.4560.4290.4040.3810.3600.3400.3210.3040.2870.2720.2570.2430.1340.1390.1050.0780.0570.0420.0300.0210.0100.0040.0020.0010.0000.0000.0000.0000.000

0.9400.8890.8530.8240.7880.7380.6970.6610.6300.6010.5740.5490.5260.5040.4840.4640,4460.4280.4110.3950.3800.3650.3510.2880.2360.1920.1550.1250.0990.0780.0610.0350.0190.0100.0040.0010.0000.0000.0000.000

0.9630.9420.9300.9210.9090.8940.8800.8680.8560.8440.8330.8220.811O.BOO0.7900.7790.7690.7580.7480.7380.7270.7170.7070.6570.6090.5620.5170.4730.4320.3910.3530.2820.2190.1630.1190.0530.0180.0040.0000.000

SKEUNESS

0.010.030.050.070.100.150.200.250.300.350.400.450.500.55O.iO0.650.700.750.800.850.900.951.001.251.501 .752.001 -1C-

2.502.753.003.504.004.505.006.007.000.009.00

10.00

0.9390.8770.8250.7780.7150.6230.5460.4810.4250.3770.3350,2980.2660.2380.2130.1910.1710,1530,1380.1230. Ill0.1000,0890.0520.0300.0170.0100.0050.0030.0010.0010.0000.0000.0000.000o.ooo0.0000.0000.000o.ooo

0.9390.8770.8260.7800.7180.6310.5580.4960.4430.3970.3570.3210.2900.2620.2370.2150.1940.1760.1600.1450.1320.1200.1090.0670.0410.0250.0150.0090.0050.0030.00?0.0000.0000 . 0000.0000.000

0.0000.000o.ooo0.000

0.9390.8780.8270.7830.7240.6420.5740.5160.4660.4230.3840.3500,3200.2920.2680.2450.2250.2060.1900.1740.1600.1470.1350.0890.0580.0380.0240.0150.0090.0060.0030.0010.000o . ooo0 . 0000.0000.000o.ooo0. 000o.ooo

0.9390.8790.8300.7880.7330.6580.5960.5430.4970.4560.4200.3880.3590.3320.3080.2860.2660.2470.2290.2130.1990.1850.1720. 1200.0840.0580.0400.0270.0180.0120.0080.0030.0010.0000.0000.0000.0000.0000 . 0000.000

0.9400.8820.8390.8020.7560.6930.6410.5970.5570.5220.4910.4620.4350.4110.3880.3670.3470.3280.3110.2950.2790.2640.2510.1920.1470.1120.0840;0630.0470.034O.0250.0120.0060.0020.0010.0000.0000.0000.000

0.000

0.9420.892O.S560.8270.7900.7410.7000.6650.6330.6040.5780.5530.5310.5090.4890.4690.4510.4340.4170.4010.3860.3710.3570.2950.2430.2000.1640.1330.1070.086O.OAB0.0410.0240.013O.0060.0010.0000.0000.0000.000

0.9630.9410.9290.9190.9080.8930.8790.8670.8550.8440.8330.8220.8110.8000.7900.7790.7690.7590.7490.7390.7290.7190.7090.6600.6130.5680.5240.4820.4410.4020.3650.2960.2350,1810. 1350.0670.0270.0080.0010.000

1 . 250 1.111(9) (10)

COEFFICIENT* 4

1.036 11.071 11.097 11.118 11.144 11. 181 11.210 11.236 1

.106

.186

.241

.286

.342

.419

.484

.5401.258 1.5911.278 1.6371.296 1.6801.312 .7201.327 1.7581.340 1.7931.353 .8271.364 1.8601.375 1.8911.385 1.9211.394 1.9501.403 1.9771.4101.4181.4251.4531.4711.4821.4871.4861.4811.4711.4571.4181.3661.3021.2281.0510.846

.004

.030

.055.170.271.361.442.515.582.642.697.792.869.930.975.017.999

0.621 2.9110.378 J.7430.204 2.478

COEFFICIENT* 4

1.0331.0681.0931.1141.1411.177

.104.183.238

L.283L.3381.415

1.206 1.4791.2311.253

1.5341.584

1.273 1.6301.2901.3061.321

.6731.712.750

1.334 1.7851.346 1.8181.357 1.8501.368 1.8811.373 '1.9101.387 .9381.395 1.9651.403 1.9911.410 2.0171.4171 .4441.461

2.0412.1542.251

1.472 2.3391 .476 2.4161.476 2.4871.4701.4611.447 -1.4111.3621.303 .1 .2i!51.0730.8BS .

2.5502.6072.6602 . 7 4 92.8212.877'.9172.954! . 93S

0.682 2.8550 .4770.287

2.7102.488

1 .042(11)

.0

1.2141.3621.4621.5421.6431 .7811.8982.0022.0972.1842.2672.3442.4182.4892.5572.6232.687

.749

.810

.869

.926

.9823.0373.2973.5393.7i53.9814.1874.3864.5784.7655.1265.4735.8106.1426.7887.4268. 0738.7459.467

.2

1.2131.3611.4601.5401.6401.7781.8951.9982.0922.1792.2602.3372.4102.4812.5482.6132.6762.7372.7972.8552.9112.9673.0213.2773.5133.7343.9434. 144

4.3354.5214.7015.0465.3775.695A. 0046.604

7. in:,7.7659. 3398.936

1.020<12)

1.3071.5151.6541.7661.9062.1002.2642.4102.5442.6682.7862.8973.0033.1063.2053.3003.3943.4843.5733.6593.7443.3273.9094.2984.6635.0095.3425.663

'5.9766.2816.5797.1617.7288.2858.8359,923

11.00312.09813.21614.361

1.3071.5151.6551.7461.9072.1002.2632.4092.5422.6662.7832.8932.9993.1013.1993.2943.3863.4763.5643.6503.7343.8163.8974. 2814.6414.9825.3095.624

•5.9294.2274.5197.0847 .A368.174a. 7049.7S2

10.70011 .83912.89413.978

1 .010(13)

1 .4091.4861.8712.0202.2062.4642.6832.8793.0583.2253.3823.5323.6763.8153.9484.0784.2044.3274.4474.5654.6804.7944.9055.4365.9346.4086.8437.3017.7278.1408.5459.328

10.08410.81611.52612.89414.16315.38216.53817.576

1.4121.6901.8752.0242.2112.4692.6832.8833.0623.2293.3863.5363.6793.8173.9514.0804.2064.3284.4484.5654.6804.7934.9045.4335.9286.3996.8507.2847.7098.1208.5209.298

10.04910.77711 . 4H712.84414. 16815.43414.408

17.758

1 .005< 14)

1.5221.8782.1142.3082.5492.8823.1453.4133.6493.8664.0704.2644.4504.6294.8024.9705.1335.2925.4475.5995.7485.8944.0376.7207.3577.9608.5349.0839.611

10.12110.41511.55512.43913.27314.05815.49416.71217.78818.69219.377

1.5201.8862.1262.3192.5602.8943.1773.4313.6633.8804.0844.2794.4654.6454.3184.9865.1505.3095.4655.4175.7475.9136.0566.7427.3827.9878.5649.1179.651

10.16610.64411.61912.52313.37814. 19715.72317.0S418.28919. 297

20. 1S8

1.002 1.001(15) < 14)

1.487 1.8252.147 2.4142.491 2.8172.751 3.1403.079 3.5473.531 4.1073.915 4.5844.258 5.0084.572 5.3954.845 5.7555.141 4.0945.402 4.4145.453 6.7205.894 7.0144.125 7.2966.350 7.5686.568 7.8316.780 8.0876.984 8.3357.188 8.5747.385 8.8127.577 9.0417.745 9.2448.457 10.3169.478 11.267

10.241 12.13710.956 12.93811.629 13.67812.262 14.35812.863 14.99213.436 15.58714.485 16.63415.425 17.52716.270 18.29017.024 18.93218.266 19.38619.144 20.41319.814 20.75420.293 20.91920.504 20.894

1.498 1.8422.184 2.4412.510 2.8462.772 3.1723.102 3.5833.557 4.1433.944 4.6294.289 5.0584.605 5.4494.900 5.8135.178 6.1565.442 6.4815.694 6.7915.937 7.0896.171 7.3756.398 7.6526.618 7.9206.832 8.1797.041 8.4327.245 8. 6797.444 8.9187.439 9.1537.830 9.3828.735 10.4579.570 11.438

10.350 12.33911.082 13.17111.774 13.94612.433 14.67413.057 15.34913.447 15.97114.752 17.11015.755 18.10314.662 18.95717.500 19. 71 A18.945 20.915

20.032 21 .49720.941 22.28921.512 ;?.™i21.967 22.454

- 11 -

NON-EXCEEIiANCE PROBABILITY0.005 0.010 0.020 0.040 0.100 0.200 0.500 0.800 0.900 0.940 0.980 0.990 0.995 0.998 0.999

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.005 1.010 1.020 1.0-12 1.111 1.250 2. 5. 10. 25. 50. 100. 200. 500. 1000.


( 1 > ( 2 ) ( 3 ) ( 4 )~.-J *

(5) ( 4 ) (71 (8) (9 ) (10)

SKEUNESS COEFFICIENT^ 4.

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.450.700.75O.BO0.050.900.951.001.251.501.752.002.252.502.753.003.504.004.505.006.007.008.009.00

10.00

0.9420.8820.8310.7860.7230.6330.5560.4910,4350.3870.3450.3080.2760.2470.2220.1990.1790.1610. 1450.1310.1180.1060.0960.0570.0340.0200.0120.0070.0040.0020.0010.0000.0000.0000.0000.0000.000o.ooo0.0000.000

0.9420.8820.8320.7870,7260.639O.E670,5050.4520.4060.3660.3300.2990.271O.2450.2230.2030.1840. 1680.1530.1390.1270, 1160.0730.0460.0290.0180.0110.006O.OO40.0020.0010.0000.0000.0000.0000.000o.ooo0.0000.000

0.9420.8820.8330.7890.7310 . 6500.5820.5240.4740.4310.3930.3580.3280.3000.2760.2530.2330.2140.1970.1820.1470.1540.1420.0950.0430.0420.0270.0180.0110.0070.0040.0020.0010.0000.0000.0000.0000.0000.0000.000

0.9420.8830.8350.7940.7400.4440.6020.5500.5040.4440.4280.3950 . 3640.3400.3160.2930.2730.2540.2370.2210.2040.1920.1790.1270.0900.0630.0440.0310.0210.0140.0090.0040,0020.0010.0000.0000.0000.0000.0000.000

0.9420.8840.8430.8070.7410.6980.4460.4020.5630.5280.4960.4480.4410.4170.3940.3730.3530.3350.3180.3010.2860.2710.2580.1990.1540.1180.0910.0490.0520.0390.0290,0150.0070.0030.0010.0000.0000.0000.0000.000

0.9440.8940.8580.8290.7930.7440.7030.6680.6360.6080.5820.5570.5350.5130.4930.4740.4560.4390.4220.4070.3920,3770.3630.3020.2510.2080.1710.1410.1150.0930.0750.0470.0280.0160.0090.0020.0000.000O.OOO0.000

0.962 10.941 10.928 10.919 10.907 10.892 10.878 10.866 10.854 10.843 10.832 10.821 10.811 10.800 1

.031

.065

.090

.111

.137

.173

.202

.227

.249

.268

.285

.301

.315

.3280.790 1.3400.780 10.769 10.759 10.749 10.739 10.730 10.720 10.710 10.463 1

.351

.362

.371

.380

.388

.395

.403

.409

.4350.417 1.4530.573 1.4430.530 10.489 10.449 1

.447

.446

.4610.412 1.4520.374 1.4390.309 1.4040.249 1.3590.196 10.151 1

.303

.2390.081 1.0900.037 0.9180.013 0.7320.003 0.5430.000 0.362

1.1011.1801.2351.2791.3351.4101.4741.5291.5791.6241.6661.7051.7421.7771.8101.8411.8711.9001.9271.9541.9802.0052.0282.1382.2332.3182.3932.4612.5222.5772.6262.7102.7772.8292.8672.9012.8812.8082.4812.490


0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.400.450.700.750.800.850.900.951.001 .251 .501.752.002.252.502.753.003.504.004.505.006.007.008.009.00

10.00

0.9440.8860.8370.7920.7310.6410.5440.5010.4450.3940.3540.3170.2850.2560.2300.2070.1870.1690.1530.1380.1250.1130.1020.0620.0380.0230.0130.0080.0050.0030.0010.0000.0000.0000.000o.ooo0.0000.0000.000o.ooo

0.9440.8860.8370.7930.7330.6480.5760.5140.4610.4150.3750.3390.3070.2790,2540.231O.2 '00.1- 20.1750.1600.1460.1340.1220.0780.0500.0320.0200.0130.008O.O050.0030.0010.0000.0000.0000.0000.0000.0000.0000.000

0.9440.8860.8380.7950.7380.4570.5890.5320.4820.4390.4000.3460.3360.3080.2830.2610.2400.2210.2040.1890.1740.1410.1490.1010.0680.0460.0310.0200.0130.0090 . 0050.0020.0010.0000.0000.0000.0000.0000.0000.000

0.9440.8860.8400.7990.74S0.6710.6090.5560.5110.4700.4350.4020.3730.3470.3230.3000.2800.2610.2440.2280.2130.1990.1860. 1330.0960.0480.0490.0340.0240.0170.0110.0050.0020.0010.0000.0000.0000.0000.0000.000

0.9440.8890.8460.8110.7<S50.7020.6500.6060.5680.5330.5020.-4730.4470.4230.4000.3790.3590.3410.3240.3080.2920.2780.2640.2040.1600.1250.0970.074O.OS70.0430.0330.0180.0090.0050.0020.0000.0000.0000.000O.OOO

0.9460,8960.8600.8310.7950.7460.7060.6710.4390.6110.5850.5610.5390.5170.4970.4790.4610.4440.4270.4120.3970.3830.3690.3080.2570.2150.1780.1480.1220. 1000.0810.0530.0330.0200.0110.0030.0010.0000.0000.000

0.9620.9400.9270.9180.9040.8910.8780.9650.8540.8420.8320.8210.8100.8000.7900.7800.7700.7600.750

.029

.062

.087

.108

.134

.149

.198

.223,244.243.280.294.310.323.335.344.354.345.373

0.740 1.3810.731 1.3890.721 1.3960.712 .4020.665 1.4280.620 1,4440.577 1.4540.5350.4950.4570.4200.385

.458

.458.453.444.432

0.320 1.3990.262 1.3560.210 1.3030.145 1.2430.094 1.1050.047 0.9450.020 0.7740.006 0.5980.001 0.427

1.0991.1771,2311.2761.3311.4061.4691.5241.5731.6181.6601.6981.7351.7691.8011.8321.8621.8901.9171.9441.9691.9932.0172.1242.2172.2992.3722.4372.4962.5492.5942.6772.7402.7892.8232.8552.8362.7692.6552.487

(11)

4

.212

.359

.458

.538

.638

.775

.8911.9942.0872.1732.2542.3302.4032.4722.5392.6042.6662.7262.7852.8422.8982.9523.0053.2573.4883.7043.9084.1034.2894.4694.6424.9735.2885.5915.8826.4426.9777,4978.0098.521

6

1.2101.3571.4561.5361.6361.7721.8881.9902.0822.1682.2482.3242.3962.4652.5312.5952.6562.7162.7742.8302.8852.9392.9913.2383.4653.6773.8764.0664.2474.4204.5894.9085.2105.4985.7746.2984.7967.2687.7258.178

(12) (13) (14) (15)

1.308 1,415 1.533 1.7091.516 1.693 1.894 2.1991.455 1.879 2.135 2.5271.747 2.028 2.328 2.7921.907 2.215 2.570 3.1232.099 2.473 2.904 3.5802.242 2.492 3.189 3.9702.408 2.887 3.443 4.3172.540 3.044 3.475 4.6352.664 3.232 3.892 4,9322.780 3.389 4.097 5.2112.890 3.539 4.292 5.4772.995 3.681 4.479 5.7313,096 3.819 4.658 5.9763.193 3.952 4.832 6.2123.288 4.081 5.001 6.4413.379 4.206 5.165 4.4433.468 4.329 5.324 6.8793.555 4.448 5.480 7.0903.440 4.565 5.633 7.2963.723 4.479 5.782 7.4973.805 4.791 5.929 7.4943.885 4.901 6.073 7.8874.265 5.427 6.759 8.8044.620 5.920 7.401 9.6514.954 6.388 8.007 10.4445.276 6.836 8.586 11.1925.586 7.248 9.143 11.9025.884 7.487 9.479 12.5754.174 8.095 10.197 13.2184.441 8.493 10.702 13.8347.013 9.245 11,670 14.9937.548 10.010 12.590 14.0548.070 10.734 13.448 17.0308.582 11.439 14.304 17.9249.588 12.803 15.872 19.497

10.583 14.126 17.318 20.80611.583 15.404 13.634 21.88012.547 16.597 19.749 22.60413.624 17.834 20.871 23.356

1.308 1.417 1,539 1.7191.516 1.697 1.901 2.2131.655 1.883 2.143 2.5441.767 2.032 2,336 2.8101.906 2.219 2.579 3.1432.099 2.476 2.914 3.6022.241 2.695 3.199 3.9942.406 2.890 3.453 4.3422.538 3.068 3.686 4.6622.661 3.235 3.903 4.9612.776 3.391 4,108 5.2422.886 3.540 4.303 5.5092.990 3.683 4.490 5.7653.091 3.820 4.670 6.0113.187 3.953 4.844 6.2493.281 4.082 5.013 4.4793.372 4.204 5.177 4.7033.441 4.328 5.337 6.9213.547 4 .447 5.493 7.1333.631 4.563 5.445 7.3413.713 4.477 5.795 7.5443.794 4.789 5.942 7.7433.873 4.898 4.086 7.9384.249 5.421 6.772 8.8434.599 5.911 7.415 9.7214.930 4.375 8.023 10.5245.246 6.820 8.403 11.2845.550 7.248 9.140 12.0045.843 7.464 9.699 12.4974.128 8.048 10.220 13.3584.404 8.442 10.724 13.9854.946 9.225 11.697 15.1757.464 9.961 12.423 16.2807.971 10.678 13.515 17.3088.464 11.378 14.373 18.2719.433 12.731 15.979 19.967

10.387 14.049 17.491 21.45211.332 15.321 18.861 22.65212.2B1 16.543 20.114 23.61813.257 17.788 21.331 24.509

(16)

1.8572.4642.8733.2023.6164.1864.6715.1035.4995.8676.2136.5424.8557.1577.4477.7277.9998.2638.5208.7709.0149.2539.486

10.58511.59012.51813.38214.19014.94415.45414.32817.55318.64219.60420.44621.83722.88823.64924.01824.440

1.8722. 4852.8983.2303.6474.2224.7105.1455.5445.9156.2654.5976.9147.2187.5127.7968.0718.3388.5998.8539.1009.3439.580

10.69911.72512.67813.56614.39515. 18515.92916.62017.90919.07020.12321 .07722.64723.93524.84625.48126.061

- 12 -

NON-EXCEEHANCE PROBABILITY0.005 0,010 0.030 0.040 0.100 0.200 0.500 0.800 0,900 0.940 0.980 0.990 0.995 0.998 0.999

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.005 1.010 1.020 1.042 1.111 1.250 2. 5. 10. 25. 50. 100.

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL SMALLEST EVENTSV A R I A N C E

( 1 )200.<,?)

100.(3)

so.( 4 )

25.( 5 )

10.( 6 )

5.(71

2.(8)

1.250( 9 )

1.111( 1 0 )

SK6UNESS COEFFICIENT' 4

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951.001.251.501.752.002.252.502.753.003. SO4.004.505.00A. 007.008.009.00

10.OO

0.946O.B890.0420.7980.7380.6500.5740.5100.4S40.4050.3630.3260.2930.2640.2380.2150.1950.1760.1600.1450.1310.1190.1080.0670.0410.0250.0150.0090.0060.0030.0020.0010.0000.0000.0000.0000.0000.0000.0000.000

0.9460.8890.8420.7990.7400.6550.5830.5220.4690.4230.3830.3470.3150.2870.2610.2380.2180.1990.1820.1670.1530.14O0.1280.0830.0540.035O.0230.0140.0090.0060.0030.0010.0000.0000.0000.0000.0000.000o.ooo0.000

0.9460.8900.8430.8010 . 7440.6640.5960.5390.4900.4460.4080.3740.3430.3150.2910.2680.2470.2280.211O.1950.1810.1670.1550.1060.0730.050O.O340.0230.0150.010O.0070.003O.O010.0000.0000.0000.0000.000o.ooo0.000

0.9460.8900.8440.8040.7510.6760.615O.5630.5170.4770.4410.4O90.3800.3530.3290.3070.2870.2680.2500.2340.2190.2050.1920.1:190.1010.0730.0530.0380.0270.0190.0130.0060.0030.0010.0000.0000.0000.0000.0000.000

0.9460.8920.8500.8140.7690.7060.6550.6110.5720.5380.5060.4780.4520.4280.4050.38S0.3650.3470.3300.3130.2980.2840.2700.2:120.1660.1310.1020.080O.O<S20.0-480.0360.0210.0110.0060.0030.0010.0000.0000.0000.000

0.9470.8980.8630,8340.7980.7490,7080.6730 ,6420.6140.5880.5640.5420.5210.5010.4830.4650.4480.4320.4170.4020.3880.3740.3140.2640.2210.1850.1550.1290.1060.0880.0580.0330.0240.0140.0040.0010.0000.0000.000

0.9620,9400.9270.9170.9050.8900.8770.8650.8530.8420.8310.8210.8100.8000.7900.7800.7700.7600.7510.7410.7320.7220.7130.6670.6230.5310.5400.5020.4640.4280.3940.3310.2740.2230.1780.1070.0580.0270.0110.003

SKEWNESS

0.010.030.050.070.100.150.200.250.300.350.400.450.500.350.600.650.700.750.800.850.900.951.001.251.501 .752.002.252.502.753.003. SO4.004.505.006.007.008.009.00

10.00

0.9480.8930.8460.8040.7450.6570.5830.5180.4620.4140.3720.3340.3010.2720.2460.2230.2020.1830.1660.1510.1370.1250. 1140.0710.0450.0280.0180.0110.0070.0040.0020.0010.0000.0000.0000.0000.0000.0000.0000.000

0.9480.8930.8470.8040.7460.6620.5910.5300.4770.4310.3910.3550.3230.2940.2690.2460.2250.2060.1890.1730.1590.1460.1340.0880.0580.0380.0250.0160.0110.0070.0040.0020.0010.0000.0000.0000.0000.000o.ooo0.000

0.9480.8930.8470.8060.7500.6700.6030.5460.4970.4530.4150.3810.350O.3220.2970.2750.2540.2350.2180.2020.1870.1740.1610.1120.0770.0540.0370.0260.0170.0120.0080.0030.0010.0010.0000.0000.0000.0000 . 0000.000

0.9480.8930.8480.8080.7560.6820.6210.5680.5230.4830.447O.4150.3860.3600.3350.3130.2930.2740.2570.2400.2250.2110.1980.1450.1060.0780.0570.0410.0300.0220.0150.0080.0040.0020.0010 .0 000.0000.0000,0000.000

0.9480.8950.853O.8180.7720.7100.6590.6150.5760.5420.5110.4830.4370.4330.4110.3900.3700.3520.3350.3190.3040.2890.2760.2130.1720.1360.1080.0850.0660 . 0320.0400.0240.0130.0070.0040.0010,0000.0000.0000.000

0.9490.9000.3650.3360.8000.751O.7110.6760,6450.6170.591O.S680.5460.5250.5050.4870.4690.4520.4360.4210.4060.3920.3790.3190.2690.2270.1910.1610.1350.1130.0940.0640.0420.0270.0170.0060.0020.0000.0000.000

0.9620.9390.9260.9160.9050.8890.8760.8640.8530.8410.8310.8200.8100.8000.7900.7800.7700.7610.7510.7420.7320.7230.7140.6690.6260.5850.5450.5070.4710.4360.4020.3400.2840.2340.1900. 1190.0680.0350.0150.006

1.0271 .0601.0841.1051.1311.1661.1951.2191.2401.2591.2761.2911.3051.3181.3301.3401.3501.3591.3681.3761.3831.3901.3961.4211.4371.4471.4511.4501.4451.4371.4251.3931.3521.3031.2471.1160.9690.8090.6450.484

1.0971.1741.2231.2721.3271.4021.4651.5191.5681.6131.6541.6921.7281.7621.7941.8241.8541.8811.9081.9341.9591.9832.0062.1ir2.2022.2822.3532.4162.4722.5242.5692.6462.7072.7522.7862.8142.7982.7372.6312.483

COEFFICIENT* 5

1.0251.0571.0811. 1021.1281.1631.1911.2151.2371.2551.2721.2871.3011.3131.3251.3351.3451.3541.3621.3701.3771.3841,3901.4141.4301,4401.4441.4431.4381.4301.4191.3891.3501.3031,2491.1270.9880.8390.6860.534

1.0941.1711.2251.2691.3241.3991.4611.5151.3641.6081.6481.6861.7221.7551.7871.8171.8461.8731.9001.9251.9491.9731.9962.0992.1882.2662.33S2.3962.4512.5002.5452.6192.6772.7212.7512.7792.7642.7072.6111.477

1.042(11)

.8

1.209.355.454.534.633.769.884

1.9862.0782.1632.2422.3182.3892.4572.5232.5862.6472.7062.7632.8192.8732.9262.9783.2213.4443.6523.8474.0314.2074.3774.5394.8475.1385.4135.6776.1716.6367.0727.4867.886

.0

1.2071.3541.4521.5311.6311.7661.8811.9822.0732.1582.2372.3122.3832.4502.5152.5772.6382.6962.7532.8082.8612.9142.9653.2053.4243.6283.8194.0004.1724.3364 .4944.7935.073S.3375.5896.0596.4936.9007.2807.637

1.020(12)

1.3081.5161.6551.7671.9062.0982.2602.4042.5362.6582.7732.8822.9863.0863.1823.2753.3653.4533.5383.6223.7043.7833.8624.2344.5804.9065.2175.5155.8036.0836.3556.8807.3867.8773.3579.291

10.20111.09812.00712.922

1.3081.5161.6551.7661.9062.0972.2592.4032.5342.6562.7702.8782.9823.0813.1763.2693.3583.4453.5303.6133.6943.7733.8514.2194.5614.8835.1895.4835.7666.0406.3066.8197.3147.789S.2S59.155

10.03010.89211.74812.409

1.010(13)

1.4191.6991.8862.0352 . 2222.4792.6982.8923.0713.2373,3933.5423.6843. 8213.9534.0814.2064.3274.4454.5614.6744.7864.8945.4155.9016.3626.8037.2287.6398.0398.4299.1859.913

10.62111.30912.65213.94415.20316.45817.684

1.4211.7021.8882.0382.2252.4822.7002.8953.0733.2383.3943.5433.6843.8213.9534.0804.2044.3254.4434.5584.6714.7824.8905.4075.8916.3486.7867.2077.6148.0108.3959.1429.861

10.55911.24012.55613.84015.09316.32817.540

1.005 1.002 1.001( 1 4 ) (15) (16)

1.544 1.729 1.8861.908 2.227 2.5062.150 2.559 2.9222.344 2.826 3.2562.588 3.161 3.6762.923 3.623 4.2543.208 4.015 4.7463.462 4.366 5.1843.696 4.687 5.5863.913 4.937 5.9604.118 5.269 6.3124.313 5.538 6.6474.501 5.795 6.9674.680 6.043 7.2754.854 6.282 7.5715.023 6.514 7.8585.187 6.739 8.1365.347 6.958 8.4075.503 7.172 8.6705.656 7.381 8.9285.805 7.585 9.1785.952 7.786 9.4246.096 7.982 9.6656.783 8.915 10.7997.426 9.782 11.8448.034 10.59S 12.8168.614 11.365 13.7269.172 12.100 14.5869.711 12.802 15.396

10.232 13.471 16.15810.741 14.122 16.89611.718 15.347 18.25212.652 16.491 19.48513.549 17.558 20.60414.403 18.545 21.60214.058 20.382 23.39617.584 21.952 24.80319.011 23.287 25.90020.380 24.510 26.85021.666 25.537 27.573

1.548 1.738 1.9001.914 2.240 2.5252.157 2.574 2.9442.351 2.842 3.2812.595 3.178 3.7032.931 3.641 4.2343.216 4.035 4.7793.471 4.387 5.2203.704 4.710 5.6253.922 5.011 6.0014.127 5.294 6.3564.322 5.564 6.4934.509 5.823 7.0164.689 6.071 7.3264.863 6.312 7.6255.032 6.545 7.9155.196 6.771 8.1965.356 6.991 8.4695.512 7.206 8.7355.665 7.417 8.9955.814 7.622 9.2495.961 7.824 9.4976.105 8.022 9.7416.792 8.962 10.8927.434 9,835 11.9538.042 10.657 12.9438.622 11.436 13.8739.179 12.179 14.7509.717 12.387 15.577

10.241 13.574 16.37510.748 14.230 17.12511.725 15.479 13.53112.659 16.647 19.81213.560 17.752 21.00014.434 18.798 22.10116.079 20.674 23.96917.655 22.399 25.61519. 144 23.917 24 . 96B20.554 25.247 28.06221 .385 26.406 28.933

- 13 -

NON-EXCEEIiANCE PROBABILITY0.003 0.010 0.020 0.040 0.100 0.200 0.500 0.800 0.900 0.960 0.980 0.990 0.995 0.998 0.999



(1 )

200.< 2 >

100.(3)

so.( 4 )

25 i(5 )

10.(6 )

5.(7)

2 .(8)

1.250(9)

1.111<10)


0.010.030.050.070. 100.150.200.250.300.350.40O.450.500.550.600.650.700.750.800.850.900.951.001.251.501.752.002.252.502.753.003.504.004.505.006.007.008.009.00

10.00

0.9520.9000.8560.8160.7590.6740.6010.5370.4820.4330.3910.3530.3200.2900.2640.2400.2190.1990.1820.1660.1520.1390.1270.0820.0540.0350.0230.0150.009O.OO60.0040.0010.001O.OOO0.0000.0000.0000.0000.0000.000

0.9520.9000.8560.8160.7600.6780.6080.5470.4950.4490.4080.3720.3400.3110.2850.2620.2410.2220.2040.1880.1740.1600.1480.1000.0680.0460.0320.0210.0140.0100.0060.0030.001O.OOO0.0000.0000.0000.0000.0000.000

0.9520.9000.8570.8170.7630.6840.6180.5620.5120.4690.4310.3970.3640.3380.3130.2900.2690.2500.2330.2160.2010.1880.1750.1240.0880.0630.0450.0320.0230.0160.0110.0050.0030.0010.0000.0000.0000.0000.0000.000

0.9520.9000.8570.8190.7670.6940.6340.3320.5360.4970.4610.4290.4000.3740.3500.3270.3070.2880.2710.2540.2390.2250.2120.1580.1180.0890.0670.0500.0370.0280.0200.0110.0060.0030.0010.0000.0000.0000.0000.000

0.9520.9010.8610.8260.7810.7190.6480 .6330.5840.5520.5220.4940.468O.4-M0.4220.4010.3820.3640.3470.3310.3160.3020.2890.2310.1850.1490.1200.0960.0770.0620.0490.0310.0190.0110.0070.0020.0000.0000.0000.000

0.9520.9050.8700.8410.8050.7560.7160.6820.6510.6240.5980.5750.5530.5330.5130.4950.4780.4620.4440.4310.4170.4030.3900.3310.2820.2410.2060.1750.1490.1270.1070.0760.0530.0370.0250.0100.0040.0010.0000.000

0.9620.9380.9250.9150.9030.8880.8750.8630.8510.8410.8300.8200.8100.8000.7900.7810.7710.7420.7530.7430.7340.7250.7170.4740.4320.5930.5550.5190.4840.4510.4200.3410.3080.2400.2170.1460.0930.0550.0300.015

SKEUNESS

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951 .001.251 .501.752.002 . 252.502.753.003.504.004.505.006.007.008.009.00

10.00

0.9550.9060.8640.8250.7710.6890.6170.5540.4980.4500.4070.3700.3360.3060.2790.2550.2330.2140.1940.1800.1650.1520. 1400.0930.0620.0420.0280.0190.0130.0080.0060.0020.0010.0000.0000.0000.0000.0000.0000.000

0.9550.9060.8640.8260.7720.6920.6230.5620.5100.4640.4230.3870.3550.3260.3000.2760.2550.2360.2180.2010.1870.1730. 1600.1110.0770.0540.0380.0270.0190.0130.0090.0040.0020.0010.0000.0000.0000.0000.000O.OOO

0.9550.9060.8640.8260.7740.6970.6310.5750.5260.4330.4450.4100.3800.3520.3270.3040.2830.2630.2460.2290.2140.2000.1870. 1350.0980.072O.OS30.0380.0280.0200.0150.0080.0040.0020.0010.0000.0000.0000.0000.000

0.9550.9060.8650.8280.7770.7050.6450.5930.5480.5080.4730.4410.4120.3860.3620.3400.3190.3000.2830.2670.2520.2370.2240. 1690.1290.0980.0750.0580.0440.0340.0260.0150.0080.0050.0020.0010.0000.0000.0000.000

0.9550.9070.8670.8330.7890.7270.6760.6330.5950.5610.5310.5030.4770.4540.4320.4120.3930.3750.3580.3420.3270.3130.3000.2420.1970. 1600.1310.1070.0870.0710.0580.0380.0250.0160.0100.0040.0010.0000.0000.000

0.9550.9090.8750.8460.8100.7610.7210.6870.4570.4290.6040.5810.5600.5400.5210.5030.4860.4700.4S40.4400.4250.4120.3990.3420.2930.2530.2180.1880.1620.1390.1190.0880.0640.0460.0320.0150.0070.0030.0010.000

0.9430.9380.9240.9140.9020,8870.8730.8620.8500.8400.8290.8190.8100.8000.7900.7810.7720.7630.7540.7450.7360.7270.7190.6770.4380.4000.5430.5290.4960.4640.4340.3780.3270.2810.2400.1700.1160.0760.0470.027

1.0201.0511.0751.0951.1211.1551.1831.2071.2281.2441.2631.2781.2911.3031.3141.3241.3341.3431.3511.3581.36S1.3711.3771.4011.4141.4251.4231.4281.4241.4161.4061.3791.3441.3021.2541.1471.0270.8980.7660.633

1.0891.1451.2181.2411.3161 .3901.4511.5051.5531.5941.6361.6731.7081.7401.7711.8001.8281.8551.8811.9051.9291.9511.9732.0722.1572.2322.2972.3542.4062.4512.4922.5612.4142.6542.6812.7042.6942.6482.5712.463

COEFFICIENT" 6

1.0161.0461.0691.0891.1151.1491.1771.2001.2211.2391.2551.2691 .2821.2941.3051.3151.3241.3331.3411.3481.3551.3611.3661.3891.4031.4121.4161.4151.4111.4051.3951.3701 .3381.3001.2581.1411.0550.9410.8230.704

1.0841.1581.2111 .2551.3091.3821.4431.4941.5431.5841.4251.6611.4951.7271.7581.7861.8131.8391.8441.8881.9111.9331.9542.0502.1322.2032.2452.3202.3482.4122.4502.5142.5632.6012.6262.6502.6402.6012.5372.448

1 .042(11)

5

1 .2041.3491.4471.5261.6241.7591 .8731.9732.0632.1472.2252.2982.3482.4342.4982.5592.4182.4742.7302.7832.8362.8872.9363.1693.3803.5753.7583.9294.0924.2474.3954.6734.9325.1745.4025.8236.2036.5496.8687.157

.0

1.1991.3441.4421.5201.4191.7531.8451.9442.0542.1372.2132.2842.3542.4202.4822.5422.6002.6562.7102.7422.3132.8632.9113.1373.3423.5303.7043.8704.0254.1734.3124.5754.8175.0435.2535.6365.9796.2846.5586.806

1.020 1.010 1.005 1.002 1.001(12) ( 13) (14) ( 15) ( 16)

1.307 1.425 1.558 1.759 1,9311.515 1.707 1.927 2.268 2.5691.654 1.893 2.171 2.606 2.9951.765 2.043 2.347 2.877 3.3341.904 2.230 2.411 3.214 3.7632.094 2.487 2.947 3.482 4.3522.255 2.704 3.233 4.079 4.8522.398 2.898 3.488 4.434 5.2992.528 3.076 3.722 4.759 5.7092.649 3.241 3.939 5.062 6.0912.762 3.396 4.145 5.348 4.4512.849 3.543 4.340 5.620 6.7942.971 3.684 4.527 5.881 7.1223.069 3.819 4.707 6.132 7.4373.163 3.950 4.881 6.375 7.7423.254 4.077 5.049 6.610 8.0373.342 4.200 5.213 6.839 8.3233.428 4.319 5.373 7.061 3.6023.511 4.436 5.529 7.279 8.8743.592 4.550 5.481 7.491 9.1403.472 4.441 5.831 7.499 9.3993.749 4.771 5.977 7.903 9.4543.825 4.878 4.120 8.103 9.9034.185 5.388 4.805 9.055 11.0844.517 5.843 7.444 9.941 12.1754.830 6.313 8.050 10.777 13.2005.125 6.742 8.628 11.571 14.1695.408 7.153 9.183 12.331 15.088

'5.680 7.551 9.718 13.059 15.9605.942 7.936 10.238 13.762 16.7976.196 8.311 10.744 14.442 17.5996.683 9.036 11.718 15.738 19.1117.148 9.733 12.650 16.957 20.5077.596 10.406 13.551 18.121 21.8158.028 11.042 14.425 19.237 23.0538.859 12.328 14.093 21.293 25.2549.454 13.551 17.477 23.148 27.172

10.425 14.742 19.195 24.895 28.84311.180 15.911 20.655 26.482 30.34311.925 17.075 22.079 27.941 31.645

1.304 1.428 1.544 1.777 1.9591.513 1.710 1.937 2.292 2.4081.652 1.897 2.183 2.433 3.0391.743 2.044 2.379 2.906 3.3831.901 2.233 2.624 3.247 3.8152.091 2.490 2.961 3.716 4.4082.251 2.707 3.247 4.115 4.9142.393 2.900 3.502 4.472 5.3652.522 3.077 3.735 4.798 5.7792.642 3.241 3.953 5.103 6.1652.754 3.396 4.158 5.391 6.5302.860 3.542 4.353 5.445 4.8742.941 3.682 4.540 5.928 7.2083.058 3.817 4.720 6.181 7.5283.150 3.946 4.893 6.425 7.8373.240 4.072 5.062 6.641 8.1343.327 4.194 5.225 4.892 8.4243.411 4.312 5.384 7.116 8.7093.493 4.428 5.539 7.335 8.9863.573 4.541 5.691 7.549 9.2553.651 4.651 5.840 7.759 9.5193.727 4.759 5.986 7.964 9,7783.B02 4.865 6.129 8.166 10.0324.154 5.368 6.811 9.124 11.2344.479 5.836 7.447 10.021 12.3534.782 6.278 8.048 10.865 13.4025.069 6.693 8.622 11.648 14.3945.343 7.101 9.173 12.437 15.3415.604 7.489 9.704 13.177 16.2485.857 7.865 10.219 13.889 17.1116.100 8.230 10.720 14.583 17.9524.565 8.934 11.684 15.907 19.5377.007 9.409 12.411 17.162 21,0217.429 10.259 13.499 18.352 22.4027.834 10.890 14.346 19.509 23.7348.409 12.105 14.022 21.4A8 26.1579.344 13.272 17.404 23.669 28.336

10.047 14.409 19.131 25.552 30.32110.727 15.522 20.614 27.332 32.14011.390 14.417 22.054 29.001 33.782

- 14 -

NON-EXCEEBANCE PROBABILITY0.005 O.O10 0.020 0.040 0.100 0.200 0,500 0.800 0.900 0.960 0.980 0.990 0.995 0.998 0.999

RECURRENCE INTERNAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.005 1.010 1.020 1.012 I.Ill 1.250 2. 5. 10. 25. 50. 100.


(1)200.< 2 )

100.< 3 >

50.( 4 )

25.(5)

10.(6 )

5.(7 )

2 .(8)

1.250(9 )

1.111(10)

SKEUNESS COEFFICIENT' 4

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951.001.251.501.752.002.252.502.753.003.504.004.505.006.007.008.009.00

10.00

0.9580.9110.8710.8340.7810.7010.6300.5680.5130.4650.4220.3840.3510.3200.2930.2690.2470.2270.2090.1920.1770.1630.1510.1020.0700.0480.0330.0230.0160.0110.0070.0040.0020.0010.0000.0000.0000.0000.0000.000

0.9580.9110.8710.8340.7820.7030.6350.5760.5240.4780.4370.4010.3690.3390.313O.2890.2680.2480.2300.2130.1980.1840.1710.1210.0860.0610.0440.0310.0230.0160.0120.0060.0030.0010.0010.0000.0000.0000.0000.000

0.9580.9110.8710.8340.7830 . 7080.6430.5870.5380.4950.4570.4230.3920.3640.3390.3160.2950.2750.2570.2410.2260.2110.1980.1450.1070.0800.0600.0450.0330.0250.0190.0100.0060.0030.0020.0000.0000.0000.0000.000

0.9580.9110.8710.8350,7860.7150,ASS0.6030.5590.5190.4840.4520.4230.3970.3730.3510.3300.3110.2940.2780.2620.2480.2350.1800.1390.1070.0840.065O.0510.0400.0310.0190.0110.0060.0040.0010.0000.0000.0000.000

0.9580.9120.8730.8390.7950.7340.-4310.6400.6030.5690.5390.5110.4860. 4620.4410.4200.4020.3840.3670.3520.3370.3230.3090.2520.2070.1700.1410.1160.0960.0300.0660.0450.0300.0200.0130.0050.0020.0010.0000.000

0.9580.9130.8790.8500.8140.7660 . 7 2 40.6920.6620.6350.6100.5870.5660.5460.5270.5090.4930.4770.4610.4470.4330.4200.4070.3510.3030.2630.2280.1990.1730.1500.1300.0980.0730.0540.0400.0210.0100.0050.0020.001

0.9630.9380,9230.9130.9010.8850.8720.8610.8500.8390.8290.8190.8090.8000.7910.7810.7720.7640.7550.7460.7380.7290.7210.6800.6420.6050.5710.5370.5060.4750.4460.3920.3430.2990.2590.1910.1360.0950.0630.040

SKEUNESS

0.010.030.050.070.100.150.200.250.300.350.400.450.500.55O.600.650.700.750.800.850.900.951.001.251.501.752.002 . 252.502.753.003.504.004.505.006. 007.008.009.00

10.00

0.9600.9150.8770.8410.7900.7120.6420.5800.5260.4780.4350.3970.3430.3330.3060.2810.2590.2390.2200.2030.1880.1740.1610.1110.0770.0540.0380.0270.0190.0130.0100.0050.0020.0010.0010.0000.0000.0000.0000.000

0.9600.9150.8770.8410.7900.7130.6460.5870.5350.4900.4490.4130.3800.3510.3250.3010.2790.2590.2410.2240.2090.1950.1820.1300.0930.0680.0500.0360.0270.0200.014O.OOS0.0040.0020.0010.000

o.oooo.ooo0.0000.000

0.9600.9150.8770.8410.7910.7170.6530.5970.5480.5060.4670.4330.4030.3750.3490.3260.3050.2860.2680.2510.2360.2220.2080.1540.1160.0870.0660.0500.0380.0290.0220.0130.0070.0040.0020.0010.0000.0000.0000.000

0.9600.9150.8770.8420.7930.7230.6630.6120.5680.5280.4930.4610.4330.4060.3820.3(500.3400.3210.3040.2870.2720.2580.2440.1890.1470.1160.0910.0720.0570.0450.0360.022O.OM0.0090.0050.0020.0010.0000.0000.000

0.9600.9160.8780.84S0.8010.7400.6900.6470.6090.5760.5460.5180.4930.4700.4480. 412(30.4100.3920.3750.3600.3450.3310.3180.2610.2160. 1790.1500.1250.1040.0870.0730.0510.0360.0250.017O.OOS0.0030.0010.0000.000

0.9600.9170.8830.8540.8180.7700.7300.6960.6660.6390.6140.5920.5710.5510.5330.5150.4980.4830.4680.4540.4400.4270.4140.3580.3120.2720.2380.2080.1820.1600.1400.1070.0820.0620.0470.0260.0140,0070.0030.002

0.9640.9380.9230.9120.9000.8850.8720.3600.8490.8390.8290.8190.8090.8000.7910.7820.7730.7640.7560.7470.7390.7310.7230.6830.6460.6100.5770.5440.5140.4840.4570.4050.3570.3140.2750.2090.1550.1120.0790.054

1.0121.0411.0641.0841.1091.1431.1711.1941.2151.2321.2481.2621.2751.2871.2981.3071.3161.3241.3321.3391.3461.352

.357

.379

.393

.401

.405

.405

.401

.395

.387

.363

.334

.299

.2601.1721.0760.9730.8670.761

1.0791.1521.2051.2481.3021.3751.4361.4881.5351.5771.6151.6511.6351.7161 .7461.7741.8011.8261.8501.8731.8961.9171.9382.0312.1102.1782.2382.2912.3372.3782.4152.4752.5222.5572.5822.6052.5972.5442.5082.433

COEFFICIENT" 7

.009

.036

.059

.079

.104

.138

.166

.189

.209

.227

.242

.256

.2691.2801.2911.3001.3091.3171.3251.3321.3381.3441 .3491.3711.3841.3921.3961.3961.3931.3871.3791.3571.3301.2971 . 2.6 11.1801.0910.9980.9020.805

1.0741.1471 .1991.2421.2961.3691.4291.4811.5271.5691.6071.4421.6751.7061.7351.7631.7891.8141.8381.3611.8821.9031.9242.0142.0912.1572.2152.2662.3102.3502.3852.4432.4882.5212.5442.5672.5412.5332.4852.413

1.042(11)

.5

1.1951.3391.4371.5151.6131.7471.8581.9572.0462.1272.2032.2752.3422.4072.4682.5272.5842.4392.6922.7432.7932.8422.8893.110

'3.3093.4913.6613.8193.9684.1094.2434.4934.7214.9335.1305.4845.7994.0746.3214.S37

.0

1.1911.3341.4321.5101.4081.7411.8521.9502.0382.1192.1942.2652.332

.395

.456

.514

.570

.624

.474

.727

.7742.8232.8703.0843.2803.4573.4223.7753.9194.0554.1834.4224.4414.8415.0275 . 3405.4515.9076.1314.326

1.020(12)

1.3041.5111.6491.7601.8982.0882.2472.3882.5172.6352.7442.8522.9513.0473.1393.2273.3133.3963.4773.5563.6323.7083.7814.1264.4444.7405.0195.2855.5385.7826.0176.4636.8867.2877.6728.4019.0829.733

10.35410.952

1.3011.5081.6471.7571.8962.0B42.2432.3842.5112.6292.7392.8432.9433.0373.1283.2163.3003.3833.4623.5403.6163.6893.7624. 1014.4134.7034.9745.2335.4805.7145.9434.3746.7807.1447.5318.2?18.8449.448

10.04310.593

1.010(13)

1.4291.7121.8992.0492.2342.4922.7092.9013.0773.2413.3953.5403.4793.8133.9424.0644.1874.3044.4194.5304.4404.7474.8515.3495.8106.2446.6577.0527.4327.7998.1558.8399.493

10.12310.73111.89813.01414.09215.14716.180

1.4301.7131.9012.0502.2372.4932.7092.9O23.0773.2403.3933.5383.4763.8093.9364.0604.1804.2974.4104.5214.6294.7354.3385.3305.7856.2126.6197.0067.3787.7378.0858.7529.3889.998

10.S8611 .71212.78213.81014.30515.782

1.005 1.002 1.001(14) (15) (16)

1.573 1.793 1.9841.946 2.313 2.6422.192 2.656 3.0762.388 2.930 3.4242.634 3.273 3.8592.971 3.744 4.4573.257 4.145 4.9663.512 4.503 5.4213.746 4.832 5.8383.963 5.138 6.2274.168 5.427 6.5954.363 5.702 4.9454.550 5.944 7.2804.729 4.219 7.4034.902 4.445 7.9155.070 4.703 8. 2175.233 4.934 8.5115.391 7.159 8.7975.544 7.379 9.0775.497 7.594 9.3505.844 7.805 9.6175.991 8.012 9.8796.133 8.214 10.1366.811 9.179 11.3577.443 10.079 12.4918.040 10.929 13.5598.609 11.738 14.5729.155 12.512 15.5389.681 13.257 14.464

10.191 13.979 17.35710.685 14.675 18.21211.439 14.014 19.84912.553 17.291 21.39513.433 18.509 22.85514.281 19.671 24.22615.916 21.891 26.80717.475 23.969 29.16618.980 25.928 31.33920.448 27.811 33.38421.876 29.600 35.268

1.578 1.306 2.0061.953 2.331 2.6712.200 2.676 3.1102.394 2.951 3.4592.442 3.295 3.8972.980 3.748 4.4983.244 4.171 5.0113.521 4.530 5.4483.754 4.859 5.8883.971 5.144 4.2804.174 5.454 4.6504.370 5.732 7.0034.556 5.997 7.3414.735 4.252 7.6444.908 4.498 7.9805.075 4.734 8.2855.237 4.948 8.5825.394 7.194 8.8715.550 7.415 9.1525.701 7.431 9.4285.848 7.842 9.4985.992 8.049 9.9426.134 8.253 10.2226.808 9.220 11.4557.436 10.123 12.6038.028 10.976 13.6358.592 11.788 14.7119.133 12.565 15.6929.654 13.314 16.635

10.158 14.036 17.54010.647 14.740 18.42011.538 16.037 20.09312.487 17.365 21.44513.354 18.599 23.17814.192 19.784 24.41515.799 22.034 27.311

17.333 24.159 29.30318.305 24.144 32.10420.233 23.071 34.25721.438 29.940 34.337

- 15 -

NON-EXCEEHANCE PROBABILITY0.005 0.010 0.020 0.040 0.100 0.200 O.SOO 0.800 0.900 0.940 0.980 0.990 0.995 0.998 0.999

RECURRENCE INTERVAL IN YEARS FOR THE ANNUAL LARGEST EVENTS1.005 1.010 1.020 1.012 I.Ill 1.250 2. 5. 10. 25. 50. 100. 200. 500. 1000.


< 1 )200.(2)

100.< 3 >

30.1 4 )

25.< 5 >

10.(4)

5.( 7 )

2 .(8 )

1.250( 9 )

1.111(10)


0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.450.700.750.800.850.900.951.001.251.501.752.003.252.502.753.003. SO4.004.505.006.007.008.009.00

1O.OO

0.9620.9190.882O.B470.7970.7210.6520.5910.5370.4890.4470.4090.3750.3440.3170.2920.2700.2490.2300.2130.1980.1S40.1700.1190.0840.0600.0430.0310.0220.0140.0120.0040.0030.0020.0010.0000.0000.0000.0000.000

0.9620.9190.8820.8470.7970.7220.4560.5970.5460.5000.4600.4230.3910.3620.3350.3110.2890.2690.2510.2340.218O.204O.1910.1380.1010.0740.0550.0410.0310.0230.0170.0100.0050.0030.0020.0000.0000.0000.0000.000

0.9620.9190.8820.8470.7980 . 7250.6620.6060.5580.5150.4770.4430.4120.3840.3590.3360.3150.29S0.2770.2600.2450.2310.2170.1630.1230.0940.0720.0560.0430.0330.0260.0150.0090.0050.0030.0010.0000.0000.0000.000

0.9420.9190.31320.8470.8000.7300.4710.4200.5760.5360.5010.4700.4410.4150.3910.3490.3490.3300.3120.2960.2810.2660.2530.1970.1550.1230.0980.0780.0630.0500.0400.0240.0170.0110.0070.0030.0010.0000.0000.000

0.9620.9190.8830.8500.8070.7440.494O.A330.6150.5820.5520.5250.5000.4770.4550.4350.4170.3990.3830.3670.353O.3390.3360.2490.2240.1870.1570.1330.1120.0950.0800.0570.0410.0290.0200.0100.0050.0020.0010.000

0.9620.9200.8860.8580.8220.7730.7340.7000.6700.6430.6190.5960.5750.5540.5370.5200.5040.4880.4730.4590.4460.4330.4210.3650.3190.2800.2440.2170.1910.1690.1490.1140.0900.0700.0540.0310.0180.0100.0050.003

0.9650.9380.9230.9120.9000.8840.8710.8590.8490.8380.8280.8190.8090.8000,7910.7820.7740.7450.7570,7480.7400.7320,7240.6860,6490.6150.5820.5510.5210.4920.4650,4150.3690.3280.2900.2240.1710.1280.0940,067

1.0041 .0331.0551.0751.1001.1341.1411.1841.2041.2211.2371.2511.2431.2751.2851.2941.3031.3111.3181.3251.3311.3371.3421.3431.3771.3851.3881 .3881.3851.3801.3721.3521.3241,2941.2421.1871.1041.0180.9290.840

1.0691.1421. 1941.2371.2911.3631.4231.4751.5201.5421.6001.4351.6671.6981.7261.7531.7791.8041.8271.8491.8711.8911 .9112.0002.0752.1392.1952.2442.2882,3252.3592.4152.4582.4902.5132.5352.5322.5072.4642.406


0.010.030.050.070.100.150.200.250.300.350.400.450.500.55O . A O0.450.700.750.800.8S0.900.951.001 • 2 j1.501.752.002.252.502.753.003.504.004.505.00i.OO

7.008.00

9.0010.00

0.9640.9220.8860.8520.8030.7290.6610.6010.5470.5000.4570.4190.3850.3550.3270.3020.2790.2590.2400.2230.2070.1920.1790.1260.0910.0650.0480.0350.0260.0190.0140.0080.0040.0020.0010.0000.0000.0000.0000.000

0.9640.9220.8860.8520.8040.7300.6640.6060.5550.5100.4690.4330.4010.3710.345O.3210.2980.2780.2600.2430.2270.2130. 1990.1450. 108O.OGO0.0600.0450.0340.0260.0200.0110.0070.0040.0020.0010.0000.0000.0000.000

0.9640.9220.8840.8520.8040.7320.6690.6140.5640.5240.4840.4520.4210.3930.3660.3450.3230.3040.2840.2490.2530.2390.2250.1700.1300.1010.0780.0410.0480.0370.0290.0180.0110.0070.004o.ooa0.0010.0000.0000.000

0.9640.922O.S860.8520.8060.7370.6780.6270.5830.5440.5090.4770.4490.4230.3990.3770.3540.3380.3200.3040.2880.2740.2410.2050.162O.13O0.1050.0840.0680.0550.0450.0300.0200.0130 . 00130.0040.0010 . 00 10.0000.000

0.9640.9220.8870.8540.3110.7510.7010.6580.6210.5870.5580.5300.5060.4830.4610.4420.4230.4060.3890.3740.3590.3460.3320.2740.2310.1950.1650.1400.1190.1010.0860.0630.0440 .033O.OLM0.0120.006O.'JO.J0.0010.001

0.9440.9230.8900.8410.8250.7770,7370.7030.4730.6470.6220.6000.5790.5600.5420.5250.5080.4930.4730.4640.4510.4380.4260.3720.3260.2870.2530.2240.1990.1760.1570.1230.0970.0770.0600.0370.0220.0130.0070.004

0.9660.9390.9230.9120.8990.8830,8700.8590.84S0.8330.8280.8190.8090.8000.7910.7830.7740.7660.7570.7490.7410.7330.7250.6880.6520.4180.5840.5540.5270.4990.4730.4240.3800.3390.3020.2380.1850. 1420.1070.080

1.0041.0291 .0511,0711 .0941.1301.1571.1801.2001.2171.2321.2441.2581.2491.2801.2891.2971.3051.3131.3191.3251.3311.3341 .3571.3701.3781.3811 .3811 .3791.3741.3471.3481 .3231 .2951.2631 .1921.1151.0340.9510.868

1.0651.1371.1891.2321.2841.3581.4181.4491.5141.5551.5931.6271.6601.6901.7181.7451.7701.7941.8171.8391.8601.8811 .9001.9872.0602.1232.1782.2252.2672.3052.3372.3912.4332.4442.4842.5032.5072.4852.4442.394

1.042(11)

.5

1.1871.3301.4271 .5051.6031.7351.8461.9432.0312.1112.1862.2562.3222.3852.4452.5022.5572.6102.6622.7122.7602.8072.8523,0643.2553.4283.5883.7373.8764.0074.1324.3624.5704.7624.9395.2555.5285.7665.9746.155

.0

1.1831.3251.4221.5011.5981.7301.8411.9382.0252.1042.1782.2482.3132.3752.4352.4912.5442.5982.6492.6982.7462.7922.8373.0453.2323.4013.5573.7033.8383.9664.0864.3084.5104.6944.8635.1455.4245.6495.8436.012

1,020 1.010 1.005 1.002( 12) (13) (14) (15)

1.299 1.430 1.582 1.8181.506 1.714 1.959 2.3471.644 1.901 2.206 2.6931.755 2.051 2.403 2.9701.892 2.238 2.649 3.3142.081 2.494 2.987 3.7892.239 2.709 3.273 4.1922.379 2.901 3.527 4.5522.506 3.076 3.761 4.8822.623 3.238 3.977 5.1902.733 3.390 4.182 5.4812.836 3.535 4.376 5.7582.934 3.672 4.562 6.0233.028 3.804 4.740 6.2783.118 3.931 4.912 6.5253.205 4.054 5.079 6.7643.289 4.173 5.241 6.9963.370 4.288 5.398 7.2233.449 4.401 5.552 7.4443.525 4.511 5.702 7.6403.400 4.618 5.849 7.8723.473 4.723 5.992 8.0793,744 4.325 4.133 8.2834.079 5.312 4.804 9.2534.385 5.742 7.427 10.1574.449 6.183 8.015 11.0104.934 4.582 8.573 11.8235.188 6.963 9.108 12.602

'5.428 7.328 9.624 13.3525.657 7.680 10.122 14.0775.878 8.021 10.606 14.7796.296 8.672 11.534 16.1306.687 9.291 12.420 17.4187.057 9.884 13.272 18.6497.409 10.454 14.094 19.8398.044 11.541 15.671 22.1018.676 12.571 17.175 24.2469.245 13.556 18.622 26.2929.781 14.505 20.015 28.234

10.291 15.425 21.372 30.099

1.296 1.430 1.586 1.8291.503 1.714 1.963 2.3601.641 1.902 2.211 2.7081.752 2.051 2.408 2.9851.889 2.238 2.654 3.3312.077 2.493 2.992 3.8062.235 2.709 3.278 4.2102.375 2.900 3.533 4.5712.501 3.074 3.764 4.9022.618 3.236 3.982 5.2102.726 3.388 4.186 5.5022.829 3.531 4.380 5.7792.927 3.668 4.565 6,0443,020 3.800 4.743 6.3003.109 3.926 4.915 6.5473.195 4.048 5.081 6.7863.278 4.166 5.242 7.0193.358 4.281 5.399 7.2463.436 4.392 5.552 7.4673.512 4,501 5.702 7.6843.586 4.608 5.848 7.8963.658 4.712 5.991 8.1043.728 4.814 6.131 8.3084. 053 5.295 4.797 9.2784.359 5.739 7.414 10.1824.638 6.155 7.999 11.0364.900 4.548 8.554 11.8495.147 4.923 9.083 12.627

'5.381 7.282 9.593 13.3785.605 7.628 10.086 14.1025.820 7.941 10.564 14.8066.226 8.599 11.480 16.1556.605 9.203 12.352 17.4396.962 9.780 13.192 18.6767.301 10.335 14.001 19.8667.932 11.388 15.549 22.1348.512 12.381 17.016 24.2739.054 13.324 18.427 26.3179.559 14.236 19.794 28.302

10.035 15.113 21.114 30.184

1.001(16)

2.0262.4983.1393.4903.9304.5345.0495.5095.9314.3254.4977.0527.3927.7198.0368.3433.6418.9329.2169.4939.745

10.03110.29311.53612.69413.78514.82315.81516.76417.48818.57420.27621.83923.41824.89027.65730.24332.67434.93637.078

2.0442.7213.1643.5183.9594.5655.0825.5445.9686.3646.7387.0947.4347.7458.0838.3928.4918.9849.2699.5489.821

10.08910.35211.40412.74913.86814.91315.91116.87417.79818.70120.42022.04523.60625 .09927.92530.55433.03735.43137.457

- 16 -

NON-EXCEEBANCE PROBABILITY0.005 0.010 O.O20 0.010 0.100 0.200 0.500 0.800 0.900 0.940 0.980 O.?90 0.795 0.998 0.999



(1 )200.(2)

100.(3)

50.(4 )

25.(5)

10.(6)

5.(7)

i

(8 )

SKEUNESS

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.7S0.800.850.900.951.001 .251.501.752.0O2.252.502.753.003.504.004.505.00A. 007.008.009.00

10.00

0.9450.9250.890O.S560.8090.7360.6690.6090.5560.5090.4660.4280.3940.3640.3360.3110.2880.2670.2480.2310.2150.2000". 1870.1330.0970.0710.0520.0390.0290.0210.0160.0090.0050.0030.0020.0000.0000.0000.0000.000

0.9650.9250.8900.8560.8090.7370.6720.614O.S630.5180.4780.4420.4090.3800.3530.3290.3070.287O.2680.2510.2350.2200.2070.1S20.1140.0860.0650.0500.0380.0290.0230.0130.0080.0050.0030.0010.0000.0000.0000.000

0.9650.9250.8900.8560.3100.7390.6760.6220.5740.5310.4930.4590.4290.4010.3760.3520.3310.3110.2930.2760.261O.2460.2330.1770.1370.1070.0840.0660.0520.0410.0330.0210.0130.0080.0050.0020.0010.0000.0000.000

0.9650.9250.890O.B570.8110.7430.6840.6340.5900.5500.5160.4840.4560.4300.4060.3840.3630.3450.3270.3110.295O.2810.2680.2120.1690.1360.1100.0900.0730.0600.0490.0330.0220.0150.0100.0050.0020.0010.0000.000

0.9650.9250.8900.858o.gu0 . 7560.7040.6630.6260.5920.5630.5360.5110.4B80.4670.4470.4290.4110.3950.3800.3650.3520.3390.2820.2380.2010.1710.1460.1250.1070.0920.0680.0500.0370.0270.0150.0080.0040.0020.001

0,9650,9260,8930,8640.8280.7790.7400.7060.6770.6500.6260.6040.5830.5640,5460.5290.5130.4970.4830.4690.4560.4430.4310.3770.3320.2930.2600.2310.2060.1830.1640.1310.1040.0830.0660.0420.0260.0160.0090.005

0.9670.9390.9230.9120.8990.883O.S700.8580.8480.8380.8280.8180.8090.8000.7920.7830.7750.7660.7580.7500.7420.7340.7270.6900.6550.6220.5900.5610.5330.5060.4800.4320.3890.3490.3130.2500.1980.1550.1200.092

SKEUNESS

0.010.030.050.070.100.150.200.250.300.350.400.450.500.550.600.650.700.750.800.850.900.951 .001.251.501.752.002.252.502.753.003. SO4.004.505.00A. 007.00El. 009.00

10.00

0.9670.9270.8930.8600.8140.7420.6760.6170.5640.5170.4750.4370.4030.3720.3440,3190.2960.2750.2560.2390.2230.2080. 1940. 1400.1020.0760.0560.0420.0320.0240.0180.0110.0060.0040.0020.0010.0000.0000.0000.000

0.9670.9270.8930.8600.8140.7430.6780.6210.5710.5260.4850.4490.4170.3880.3610.3370.3140.2940.2750.2580.2420.2280.2140.1590.1200.0910.0700.0540.0420.0320.0250.0150.0090.0060 . 0040.0010.0000.0000.0000.000

0.9670.9270.8930.8600.8140.7440.6830.6280.5800.538O.SOO0.4660.4360.4080.3830.3590.3380.3180.3000.283O.2680.2530.2400.1840.143O.H20.0890.0700.0560.0450.0360.0230.0150.0100.0040.0030.0010.0000.0000,000

0.9670.9270.8930.8600.81S0.7480.6900.6400.5950.5560.5220.4900.4620.4360.4120.3900.3700.3510.3330.3170.3020.2880.2740.2180.1750.1420.1160.0950.0780.0650.0530.0370.0250.0170.0120.0060.0030.0010.0010.000

0.9670.9270.8930.8620.8200.7600.7100.6670.6300.5970.5670.5400.5160.4930.4720.4520.4340.4170.4000.3850.3710.3570.3440.2880 . 2 4 40.2070.1770.1520.1310.1130.0970.0730.0550.0410 . 0 3 10.0170.0100.0050.0030.001

0.9670.9280.8950.8670.8310.7820.7430.7090.6790,6530.6290.6070.5860.5670.5490.5320.5170.5010.4870.4730.4600.4480.4360.3820.3370.2990.2660.2370.2120.1900. 1700.1370.1100.0890.0720.046

0.0300.0190.0120.007

0.9680.9400.9230.9120.8990.8830.8700.8580.8470.8370.8280.8180.8090.8000.7920.7830.7750.7670.7590.7S10.7430.7350.7280.6910.6570.6250.5940.5650.5370.5110.4860.4390.3970.358O.H230.2610.2100.1670.1320.103

1.250 .111(9) ( 10)

COEFFICIENT* 8.

1.0011.0261.0481.0671.0921.1261.1531 .1761.1961.2131.2281.2421.2541.2651.2751.2841.2931.3001.3071.3141.3201.326

.061

.132

.185

.227

.281

.353

.413

.464

.509

.550

.587

.621

.653

.683

.711

.737

.762

.786

.809

.830

.851

.8711.331 1.8901.351 1.9751.364 2.0471.372 2.1091.375 2.1621.376 2.2091.373 2.2501.368 2.2861.362 2.3181.344 2.3701.320 2.4101.293 2.4411.263 2.4621.196 2.4851.124 2.4841.048 2.4650.970 2.4310.892 2.383

COEFFICIENT* 9.

0.999 1.0581.023 1.1281.0451.064

1.1811.223

1.089 1.2771.123 1.3491.1501.173

1.4081.459

1.192 1.5041.2091.2241.238

1.5451.5811.615

1.250 1.6471.261 1.6761.271 1.7041.2801.2881.2941.3031.3091.3151.321

1.7301.7551.7791.8011.8221.8431.862

1.326 1.8811.3461.3591.3661.3701.3701.3681.3631.3571.3401.3181.2921.2631.2001 .1311.0590.985

1.965.036.096.148.194.234.249.300.351.391.421.442.464

.465

.448

.417

0.912 2.374

1.042(11)

5

1.1781.3211.4181.4961,5941.7261.8361.9322.0192.0982.1712.2402.3052.3672.4252.4822.5362.5882.6382.6862.7332.7792.8233.0283.2113.3783.5313.6723.8053.9294.0464.2624.4574.6344.7975.0865.3345.5475.7325.890

0

1.1741.3171.4141.4921.5901.7211.8311.9272.0132.0922.1652.2342.2982.3592.4172.4732.5262.5782.6272.6752.7222.7672.8103.0133.1933.3543.5063.6453.7753.8964.0104.2204.4094.5824.7395.0175.2365.4605.6355.787

1.020(12)

1.2931.5001.6381.7491.8872.0742.2322.3712.4962.6122.7212.8232.9203.0123.1013.1863.2683.3483.4253.5003.5733.6443.7144.0394.3364.6114.8635.110

'5 .3405.5585.7686.1646.5326.8787.2067.8148.3708.8869.3689.817

1.2901.4971.6351 .7461.8842.0712.2282.3672.4922.6082.7152.8172.9133.0053.0933.1773.2593.3383.4153.4893.5613.6323.7004.0224.3154.5864.8385.076

' 5.3025.5165.7216.1076.4666.8047. 1217.7098.2458.7399.1989.623

1.010(13)

1.4291.7131.9012.0512.2382.4932.7082.8993.0733.2343.3853.5283.6653.7953.921

.042

.159

.274

.384

.492

.5984.7014.8025.2795.7186.1296.5176.8867.2407.5797.9078.5329.1239.686

10.22611.24812.21013.12213.99214.835

1.4281.7131.9012.0512.2372.4922.7082.8983.0713.2323.3823.5253.6613.7903.9164.0364.1534.2664.3774.4844.5884.6914.7915.2645.6996.1056.4884.8527.2007.5357.8578.4709.0499.400

10. 12711.12212.05512.93713.77914.584

1.005(14)

1.5891.9672.2152.4122.6592.9973.2833.5373.7703.9864.1904.3834.5684.7454.9165.0825.243.5.3995.5515.7005.8465.9886.1286.7917.4067.9848.5349.0589.563

10.05010.52211.42712.28813.11313.90815.42716.86818.24819.57220.869

1.5911.9702.2182.4162.6623.0003.2863.5403.7733,9894,1924.3854.5694 . 7464.9175.0825.2435,3985,5505.6985,8435.9856.1244.7837.3957.9488.5139.0349.533

10.01510.48211.37612.22513.03713.821IS. .51314.72418.06919.37320.626

1.002 1.001(15) (16)

1.838 2.0602.372 2.7412.721 3.1872.999 3.5423.345 3.9843.821 4.5934.226 5.1114.587 5.5754.919 6.0005.227 6.3985.519 6.7735.797 7.1316.063 7.4746.319 7.8046.566 8.1246.806 8.4347.039 8.7357.266 9.0287.487 9.3157.704 9.5957.916 9.8708.123 10.1398.328 10.4039.298 11.660

10.202 12.83111.055 13.93611.867 14.98612.645 15.99213.394 16.95814.118 17.89314.819 18.79516.165 20.52617.451 22.17618.683 23.74819.847 25.25122.131 28.11424.279 30.80726.328 33.35028.274 35.72630.198 38.080

1.844 2.0752.382 2.7602.732 3.2073.010 3.5633.358 4.0063.834 4.6174.240 5.1374.601 5.6024.933 6.0295.243 6.4275.534 6.8045.812 7.1636.078 7.5076.334 7.8386.582 8.1596.822 8.4707.055 8.7727.282 9.0677.504 9.3547.720 9.6367.932 9.9118.140 10.1818.344 10.4469.314 11.708

10.217 12.88411.069 13.99211.880 15.04712.656 16.05713.403 17.02714.126 17.96614.826 18.37416.169 20.61717.449 22.27318.674 23.85019.861 25.37822.117 28.265

24.250 30.97624.279 33.53128.257 36.01330.138 38.338

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TECHNICAL PUBLICATION SJ 80-8 LOG PEARSON TYPE 3 …l.academicdirect.org/Horticulture/GAs/Refs/Donthamsetti... · 2014-01-02 · TECHNICAL PUBLICATION SJ 80-8 LOG PEARSON TYPE 3 DISTRIBUTION:

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