Articles Relevant to the Expression of Uncertainty in ... · Articles Relevant to the Expression of Uncertainty in Measurement ... Barry M. Wood and ... Evaluation of cycles of comparison

Articles Relevant to the Expression of Uncertainty in Measurement

The following citations are for information purposes but are not necessarily endorsed by the members of JCGM/WG 1. This compilation is not meant to be exhaustive.

1993 1994 1995 1996 1997 1998 1999 2000 2001

2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012

1993

A Bayesian Theory of Measurement Uncertainty

K. Weise and W. Wöger

Physikalisch-Technische Bundesanstalt, Braunschweig, Germany

Meas. Sci. Technol., 1993, 4, No. 1, 1-11.

1996

Simple Formula for the Propagation of Variances and Covariances

W. Bich

Istituto di Metrologia "G. Colonnetti", Turin, Italy

Metrologia, 1996, 33, 181-183. Erratum: Metrologia, 1996, 33, 505.

1997

Metrological timelines in traceability

C.D. Ehrlich and S.D. Rasberry

Technology Services, National Institute of Standards and Technology, Gaithersburg, USA

Metrologia, 1997, 34, 503-514.

A Distribution-Independent Bound on the Level of Confidence in the Result of a Measurement

Tyler W. Estler

National Institute of Standards and Technology, Gaithersburg, USA

J. Res. Natl. Inst. Stand. Technol., 1997, 102, 587-588.

The Evaluation of Standard Uncertainty in the Presence of Limited Resolution of Indicating Devices

Ignacio H. Lira and Wolfgang Wöger

Pontificia Universidad Católica de Chile, Santiago, Chile; Physikalisch-Technische Bundesanstalt, Braunschweig, Germany

Meas. Sci. Technol., 1997, 8, 441-443.

Guidelines for Expressing the Uncertainty of Measurement Results Containing Uncorrected Bias

Steven D. Phillips, Keith R. Eberhardt and Brian Parry

National Institute of Standards and Technology, Gaithersburg, USA; Boeing Corporation, Seattle, USA.

J. Res. Natl. Inst. Stand. Technol., 1997, 102, 577-585.

Uncertainty Treatment in Monte Carlo Simulation

K. Weise and H. Zhang

Physikalisch-Technische Bundesanstalt, Braunschweig, Germany

J. Phys. A: Math. Gen., 1997, 30, 5971-5980.

1998

Assessing Uncertainty in Measurement

Leon Jay Gleser

University of Pittsburgh, Pennsylvania, USA

Statistical Science, 1998, 13, No. 3, 277-290.

Evaluation of the Uncertainty Associated with a Measurement Result not Corrected for Systematic Effects

Ignacio H. Lira and Wolfgang Wöger

Pontificia Universidad Católica de Chile, Santiago, Chile; Physikalisch-Technische Bundesanstalt, Braunschweig, Germany

Meas. Sci. Technol., 1998, 9, 1010-1011.

The Evaluation of the Uncertainty in Knowing a Directly Measured Quantity

Ignacio H. Lira and Wolfgang Wöger

Pontificia Universidad Católica de Chile, Santiago, Chile; Physikalisch-Technische Bundesanstalt, Braunschweig, Germany

Meas. Sci. Technol., 1998, 9, 1167-1173.

Least-squares Estimation using Lagrange Multipliers

Lars Nielsen

Danish Institute of Fundamental Metrology, Lyngby, Denmark

Metrologia, 1998, 35, 115-118. Erratum: Metrologia, 2000, 37, 183.

Calculation of Measurement Uncertainty Using Prior Information

S. D. Phillips et al.

National Institute of Standards and Technology, Gaithersburg, USA

J. Res. Natl. Inst. Stand. Technol., 1998, 103, 625-632.

Confidence-interval Interpretation of a Measurement Pair for Quantifying a Comparison

Barry M. Wood and Robert J. Douglas

National Research Council of Canada, Ottawa, Canada

Metrologia, 1998, 35, 187-196. Erratum: Metrologia, 1999, 36, 245.

1999

Measurement as Inference: Fundamental Ideas

Tyler W. Estler

Precision Engineering Division, National Institute of Standards and Technology, Gaithersburg, USA

Annals of the CIRP, Keynote Paper, 1999, 48, No. 2, 611-632.

A Bayesian approach to the consumer's and producer's risks in measurement

I. Lira

Metrologia, 1999, 36, 397-402.

Uncertainty of Measurement and Error Limits in Legal Metrology

W. Schulz and Klaus-Dieter Sommer

Physikalisch-Technische Bundesanstalt, Braunschweig, Germany; Landesamt für Mess- und Eichwesen Thüringen, Ilmenau,Germany

OIML Bulletin, 1999, XL, No. 4, 5-15.

Comments on the Accuracy of Some Approximate Methods of Evaluation of Expanded Uncertainty

D. Turzeniecka

Technical University of Poznań, Poznań, Poland

Metrologia, 1999, 36, 113-116.

Quantifying Demonstrated Equivalence

Barry M. Wood and Robert J. Douglas

National Research Council of Canada, Ottawa, Canada

IEEE Transactions on Instrumentation and Measurement, 1999, 48, No. 2, 162.

2000

LImitations of the Welch-Satterthwaite Approximation for Measurement Uncertainty Calculations

M. Ballico

CSIRO National Measurement Laboratory, Lindfield, Australia

Metrologia, 2000, 37, 61-64.

Evaluation of Measurement Uncertainty in the Presence of Combined Random and Analogue-to-digital Conversion Errors

Clemens Elster

Physikalisch-Technische Bundesanstalt, Berlin, Germany

Meas. Sci. Technol., 2000, 11, 1359-1363.

Cycles of Comparison Measurements, Uncertainties and Efficiencies

Michael Gläser

Physikalisch-Technische Bundesanstalt, Braunschweig, Germany

Meas. Sci. Technol., 2000, 11, 20-24.

Propagation of Errors for Matrix Inversion

M. Lefebvre et al.

Department of Physics and Astronomy, University of Victoria, Victoria, Canada

N.I.M. Phys Res. A, 2000, 451, 520-528.

An Approach to Combining Results from Multiple Methods Motivated by the ISO GUM

M. S. Levenson et al.

National Institute of Standards and Technology, Gaithersburg, USA

J. Res. Natl. Inst. Stand. Technol., 2000, 105, 571-579.

Curve adjustment by the least-squares method

I. Lira

Metrologia, 2000, 37, 677-681.

Uncertainty and Traceability in Calibration by Comparison

Emmanouil Mathioulakis and Vassilis Belessiotis

NCSR 'Demokritos', Agia Paraskevi Attikis, Greece

Meas. Sci. Technol., 2000, 11, 771-775.

Possible Advantages of a Robust Evaluation of Comparisons

Jörg W. Müller

Bureau International des Poids et Mesures, Sèvres, France

J. Res. Natl. Inst. Stand. Technol., 2000, 105, 551-555. Erratum: J. Res. Natl. Inst. Stand. Technol., 2000, 105, 781.

Removing Model and Data Non-Conformity in Measurement Evaluation

K. Weise and W. Wöger

Parkstrasse 11, D-38 179 Schwülper, Germany; Physikalisch-Technische Bundesanstalt, Braunschweig, Germany

Meas. Sci. Technol., 2000, 11, 1649-1658.

The Propagation of Uncertainty on Interpolated Scales, with Examples from Thermometry

D. R. White and P. Saunders

Measurement Standards Laboratory of New Zealand, Industrial Research Ltd, Lower Hutt, New Zealand

Metrologia, 2000, 37, 285-293.

Accuracy of Error Propagation Exemplified with Ratios of Random Variables

Peter J. Winzer

Technische Universität Wien, Vienna, Austria

Review of Scientific Instruments, 2000, 71, No. 3, 1447.

2001

Does "Welch-Satterthwaite" Make a Good Uncertainty Estimate ?

B. D. Hall and R. Willink

Measurement Standards Laboratory of New Zealand, Lower Hutt, New Zealand; Applied Mathematics Centre, Industrial Research Ltd, Lower Hutt, New Zealand

Metrologia, 2001, 38, 9-15.

Evaluation of cycles of comparison measurements by a least-squares method

I. Lira

Measurement Science and Technology, 2001, 12, 1167-1171.

Bayesian evaluation of the standard uncertainty and coverage probability in a simple measurement model

I. Lira and W. Wöger

Meas. Sci. and Technol., 2001, 12, 1172-1179.

The Propagation of Uncertainty with Non-Lagrangian Interpolation

D. R. White

Measurement Standards Laboratory of New Zealand, Industrial Research Ltd, Lower Hutt, New Zealand

Metrologia, 2001, 38, 63-69.

2003

Uncertainty and efficiency of correlated measurement cycles with periodically varying patterns

M. Gläser

Meas. Sci. Technol., 2003, 14, 433–438.

Calculating measurement uncertainty for complex-valued quantities

B. D. Hall

Meas. Sci. Technol., 2003, 14, 368–375.

Uncertainty calculation for the ratio of dependent measurements

J. Hannig, C. M. Wang, H. K. Iyer

Metrologia, 2003, 40(4), 177-183.

On use of Bayesian statistics to make the Guide to the Expression of Uncertainty in Measurement consistent

R. Kacker and A. Jones

National Institute of Standards and Technology, Gaithersburg, USA

Metrologia, 2003, 40, 235-248.

The ‘Guide to Expression of Uncertainty in Measurement’ Approach for Estimating Uncertainty: An Appraisal

J. Kristiansen

Clin. Chem., 2003, 49(11), 1822-1829.

Error analysis in the evaluation of measurement uncertainty

A. M. H. van der Veen and M. G. Cox

Metrologia, 2003, 40(2), 42-50.

2004

On the in-use uncertainty of an instrument

W. Bich, F. Pennecchi.

Advanced Mathematical & Computational Tools in Metrology, VI, 2004, pp. 159-169 Editors: P. Ciarlini, M. G. Cox, E. Filipe, F. Pavese, D. Richter; World Scientific (Singapore).

Assigning probability density functions in a context of information shortage

R. R. Cordero and P. Roth

Metrologia, 2004, 41(4), L22-L25.

On the propagation of uncertainty in complex-valued quantities

B. D. Hall

Metrologia, 2004, 41(3), 173-177.

Bayesian inference of linear sine-fitting parameters from integrating digital voltmeter data

G. A. Kyriazis and M. L. R. de Campos

Meas. Sci. Technol., 2004, 15, 337–346.

Erratum: Meas. Sci. Technol., 2004, 15, 1947.

Coverage intervals and statistical coverage intervals

R. Willink

Metrologia, 2004, 41(3), L5-L6.

2005

On the best fit of a line to uncertain observation pairs

A. Balsamo, G. Mana, F. Pennecchi

Metrologia, 2005, 42(5), 376-382.

On two methods to evaluate the uncertainty of derivatives calculated from polynomials fitted to experimental data

R. R. Cordero and P. Roth

Metrologia, 2005, 42(1), 39-44.

Revisiting the problem of the evaluation of the uncertainty associated with a single measurement

R. R. Cordero and P. Roth

Metrologia, 2005, 42(2), L15-L19.

A useful reflection

R. J. Douglas, A. G. Steele, B. M. Wood, K. D. Hill

Metrologia, 2005, 42(5), L35-L39.

Including correlation effects in an improved spreadsheet calculation of combined standard uncertainties

S. L. R. Ellison

Accred. Qual. Assur., 2005, 10, 338-343.

Monte Carlo-based estimation of uncertainty owing to limited resolution of digital instruments

R. B. Frenkel and L. Kirkup

Metrologia, 2005, 42(5), L27-L30.

Verification of uncertainty budgets

K. Heydorn and B. Stjernholm Madsen

Accred. Qual. Assur., 2005, 10, 403-408.

A software package comparison for uncertainty measurement estimation according to GUM

J.M. Jurado and A. Alcazar

Accred. Qual. Assur., 2005, 10, 373-381.

High order corrections to the Welch-Satterthwaite formula

Z. Liu

Metrologia, 2005, 42(5), 449-457.

Evaluation of the uncertainty of the degree of equivalence

G. Ratel

Metrologia, 2005, 42(2), 140-144.

Propagation of uncertainties in measurements using generalized inference

C. M. Wang and H. K. Iyer

Metrologia, 2005, 42, 145–153.

On higher-order corrections for propagating uncertainties

C. M. Wang and H. K. Iyer

Metrologia, 2005, 42(5), 406-410.

A procedure for the evaluation of measurement uncertainty based on moments

R. Willink

Metrologia, 2005, 42(5), 329-343.

2006

The expression of uncertainty in non-linear parameter estimation

A. Balsamo, G. Mana, F. Pennecchi

Metrologia, 2006, 43(5), 396-402.

Non-linear models and best estimates in the GUM

W. Bich, L. Callegaro, F. Pennecchi

Metrologia, 2006, 43(4), S196-S199.

Evolution of the 'Guide to the Expression of Uncertainty in Measurement'

W. Bich, M. G. Cox, P. M. Harris

Metrologia, 2006, 43(4), S161-S166.

Extending the discussion on coverage intervals and statistical coverage intervals

L.-A. Chen and H.-N. Hung

Metrologia, 2006, 43(6), L43-L44.

Effect of the resolution on the uncertainty evaluation

R. R. Cordero, G. Seckmeyer, F. Labbe

Metrologia, 2006, 43(6), L33-L38.

The generalized weighted mean of correlated quantities

M.G. Cox, C. Eiø, G. Mana, F. Pennecchi

Metrologia, 2006, 43(4), S268-S275.

Measurement uncertainty and traceability

M. G. Cox and P. M. Harris

Meas. Sci. Technol., 2006, 17, 533–540.

The use of a Monte Carlo method for evaluating uncertainty and expanded uncertainty

M. G. Cox, B. R. L. Siebert

Metrologia, 2006, 43(4), S178-S188.

A two-stage Monte Carlo approach to the expression of uncertainty with non-linear measurement equation and small sample size

S. V. Crowder and R. D. Moyer

Metrologia, 2006, 43(1), 34-41.

A new terminology for the approaches to the quantification of the measurement uncertainty

R. J. N. B. da Silva, J. R. Santos, M. F. G. F. C. Camões

Accred. Qual. Assur., 2006, 10, 664-671.

An analytical method for calculating a coverage interval

P. Fotowicz

Metrologia, 2006, 43(1), 42-45.

Monte Carlo uncertainty calculations with small-sample estimates of complex quantities

B. D. Hall

Metrologia, 2006, 43(3), 220-226.

Computing uncertainty with uncertain numbers

B. D. Hall

Metrologia, 2006, 43(6), L56-L61.

A novel method of estimating dynamic measurement errors

J. P. Hessling

Meas. Sci. Technol., 2006, 17, 2740–2750.

Bayesian alternative to the ISO-GUM's use of the Welch-Satterthwaite formula

R. N. Kacker

Metrologia, 2006, 43(1), 1-11.

Comparison of ISO-GUM, draft GUM supplement 1 and Bayesian statistics using simple linear calibration

R. N. Kacker, B. Toman, D. Huang

Metrologia, 2006, 43(4), S167-S177.

Coefficient of contribution to the combined standard uncertainty

R. Kessel, R. N. Kacker, M. Berglund

Metrologia, 2006, 43(4), S189-S195.

Resolution revisited

I. Lira

Metrologia, 2006, 43(3), L14-L17.

Implementation of a generalized least-squares method for determining calibration curves from data with general uncertainty structures

M. J. T. Milton, P. M. Harris, I. M. Smith, A. S. Brown, B. A. Goody

Metrologia, 2006, 43(4), S291-S298.

Exact calculation of the coverage interval for the convolution of two Student's t distributions

S. Nadarajah

Metrologia, 2006, 43(5), L21-L22.

Estimation of the modulus of a complex-valued quantity

L. Oberto and F. Pennecchi

Metrologia, 2006, 43(6), 531-538.

Optimised measurement uncertainty and decision-making when sampling by variables or by attribute

L. R. Pendrill

Measurement, 2006, 39, 829-840.

Between the mean and the median: the Lp estimator

F. Pennecchi, L. Callegaro

Metrologia, 2006, 43(3), 213-219.

Visualization technique for uncertainty budgets: Onion charts

K. W. Pratt and D. L. Duewer

Accred. Qual. Assur., 2006, 10, 527-530.

Systematic approach to the modelling of measurements for uncertainty evaluation

K. D. Sommer and B. R. L. Siebert

Metrologia, 2006, 43(4), S200-S210.

Instrument resolution and measurement accuracy

G. Taraldsen

Metrologia, 2006, 43(6), 539-544.

Linear statistical models in the presence of systematic effects requiring a Type B evaluation of uncertainty

B. Toman

Metrologia, 2006, 43(1), 27-33.

Uncertainty analysis for vector measurands using fiducial inference

C. M. Wang and H. K. Iyer

Metrologia, 2006, 43(6), 486-494.

Principles of probability and statistics for metrology

R. Willink

Metrologia, 2006, 43(4), S211-S219.

On using the Monte Carlo method to calculate uncertainty intervals

R. Willink

Metrologia, 2006, 43(6), L39-L42.

Uncertainty analysis by moments for asymmetric variables

R. Willink

Metrologia, 2006, 43(6), 522-530.

The uncertainty associated with the weighted mean of measurement data

N. F. Zhang

Metrologia, 2006, 43(3), 195-204.

Calculation of the uncertainty of the mean of autocorrelated measurements

N. F. Zhang

Metrologia, 2006, 43(4), S276-S281.

2007

Statistical techniques for assessing the agreement between two instruments

Astrua M., Ichim D., Pennecchi F., Pisani M. [INRIM, ISTAT]

Metrologia, 2007, 44(5), 385-392.

Recent developments in uncertainty evaluation

W. Bich

Procs. of the International School of Physics "Enrico Fermi", Course CLXVI, Metrology and Fundamental Constants, T. W. Haensch, S. Leschiutta and A. J. Wallard, editors, IOS Press, Amsterdam, 2007, ISBN 978-1-58603-784-0, pp.81-94.

Why always seek the expected value? A discussion relating to the Lp norm

Callegaro L., Pennecchi F. [INRIM]

Metrologia, 2007, 44(6), L68-L70.

Parametric coverage interval

L.-A. Chen, J.-Y. Huang, H.-C. Chen

Metrologia, 2007, 44(2), L7-L9.

Evaluating the uncertainties of data rendered by computational models

R. R. Cordero, G. Seckmeyer, F. Labbe

Metrologia, 2007, 44(3), L23-L30.

The area under a curve specified by measured values

Cox M.G. [NPL]

Metrologia, 2007, 44(5), 365-378.

The identification of the measurand can have an effect on the magnitude of the measurement uncertainty

P. De Bièvre

Accreditation and Quality Assurance, 2007, 12(12), 613-614.

Analysis of dynamic measurements and determination of time-dependent measurement uncertainty using a second-order model

C. Elster et al.

Meas. Sci. Technol., 2007, 18, 3682-3687.

Calculation of uncertainty in the presence of prior knowledge

C. Elster

Metrologia, 2007, 44(2), 111-116.

Draft GUM Supplement 1 and Bayesian analysis

C. Elster, W. Wöger, M. G. Cox

Metrologia, 2007, 44(3), L31-L32.

Using Bayesian inference for parameter estimation when the system response and experimental conditions are measured with error and some variables are considered as nuisance variables

A. F. Emery, E. Valenti and D. Bardot

Meas. Sci. Technol., 2007, 18, 19–29.

A Monte Carlo method for uncertainty evaluation implemented on a distributed computing system

Esward T.J., de Ginestous A., Harris P.M., Hill I.D., Salim S.G.R., Smith I.M., Wichmann B.A., Winkler R., Woolliams E.R. [NPL, Heriot-Watt Univ.]

Metrologia, 2007, 44(5), 319-326.

Fiducial approach to uncertainty assessment accounting for error due to instrument resolution

Hannig J., Iyer H.K., Wang C.M. [NIST, Colorado State Univ]

Metrologia, 2007, 44(6), 476-483.

Measurement uncertainty for multiple measurands: characterization and comparison of uncertainty matrices

W. Hässelbarth, W. Bremser

Metrologia, 2007, 44(2), 128-145.

Trapezoidal and triangular distributions for Type B evaluation of standard uncertainty

R. N. Kacker and J. F. Lawrence

Metrologia, 2007, 44(2), 117-127.

Evolution of modern approaches to express uncertainty in measurement

Kacker R., Sommer K.-D., Kessel R. [NIST, PTB, Metrodata]

Metrologia, 2007, 44(6), 513-529.

A weighted total least-squares algorithm for fitting a straight line

Michael Krystek and Mathias Anton

Meas. Sci. Technol., 2007, 18, 3438–3442.

CORRIGENDUM: Meas. Sci. Technol., 2008, 19, 079801 (1pp).

Probabilistic and least-squares inference of the parameters of a straight-line model

Lira I., Elster C., Wöger W. [PUC, PTB]

Metrologia, 2007, 44(5), 379-384.

Uncertainty propagation in non-linear measurement equations

G. Mana, F. Pennecchi

Metrologia, 2007, 44(3), 246-251.

Optimised Measurement Uncertainty and Decision-Making in Conformity Assessment

L. R. Pendrill

NCSLI Measure, 2007, 2, 76-86.

Assessment of measurement uncertainty via observation equations

Possolo A., Toman B. [NIST]

Metrologia, 2007, 44(6), 464-475.

Towards a new edition of the “Guide to the expression of uncertainty in measurement”

S. Rabinovich

Accreditation and Quality Assurance, 2007, 12(11), 603-608.

Uncertainty from sampling, in the context of fitness for purpose

M. H. Ramsey, M. Thompson

Accreditation and Quality Assurance, 2007, 12(10), 503-513.

Repeatability: some aspects concerning the evaluation of the measurement uncertainty

M. Rösslein, S. Rezzonico, R. Hedinger, M. Wolf

Accreditation and Quality Assurance, 2007, 12(8), 425-434.

A forgotten fact about the standard deviation

M. Rösslein, M. Wolf, B. Wampfler, W. Wegscheider

Accreditation and Quality Assurance, 2007, 12(9), 495-496.

COMMENT: A comment on: “A forgotten fact about the standard deviation”

B. D. Hall, R. Willink

Accreditation and Quality Assurance, 2008, 13(1), 57-58.

The propagation of uncertainty with calibration equations

D. R. White, P. Saunders

Meas. Sci. Technol., 2007, 18, 2157–2169.

On the uncertainty of the mean of digitized measurements

R. D. Willink

Metrologia, 2007, 44(1), 73-81.

On the Lp estimation of a quantity from a set of observations

R. D. Willink

Metrologia, 2007, 44(2), 105-110.

Uncertainty and data-fitting procedures

R. D. Willink

Metrologia, 2007, 44(3), L33-L35.

Uncertainty of functionals of calibration curves

R. D. Willink

Metrologia, 2007, 44(3), 182-186.

A generalization of the Welch–Satterthwaite formula for use with correlated uncertainty components

R. D. Willink

Metrologia, 2007, 44(5), 340-349.

2008

Measurement uncertainty evaluation for a non-negative measurand: an alternative to limit of detection

Analytical Methods Committee, The Royal Society of Chemistry

Accreditation and Quality Assurance, 2008, 13(1), 29-32.

Revisiting the example of 'comparison loss in microwave power meter calibration' - a rigorous, simple approach

Baratto A.C., Garcia G.A. [INMETRO]

Metrologia, 2008, 45(2), 241-248.

How to revise the GUM?

W. Bich

Accreditation and Quality Assurance, 2008, 13(4-5), 271-275.

The coverage factor in a Flatten-Gaussian distribution

Blázquez J., García-Berrocal A., Montalvo C., Balbás M. [CIEMAT, AMERPREM]

Metrologia, 2008, 45(5), 503-506.

A probabilistic approach to the analysis of measurement processes

Cox M.G., Rossi G.B., Harris P.M., Forbes A. [NPL, Univ. Studi Genova - DIMEC]

Metrologia, 2008, 45(5), 493-502.

COMMENT: Comment on 'A probabilistic approach to the analysis of measurement processes'

Lira I. [Pontificia Univ. Católica de Chile]

Metrologia, 2009, 46(1), L8.

REPLY: Reply to the comment on 'A probabilistic approach to the analysis of measurement processes'

Cox M.G., Rossi G.B., Harris P.M., Forbes A. [NPL, Univ. degli studi di Genova - DIMEC]

Metrologia, 2009, 46(1), L9-L10.

Usage of the uncertainty of measurement by accredited calibration laboratories when stating compliance

M. Czaske

Accred. Qual. Assur., 2008, 13, 645–651.

Measurement uncertainty is not synonym of measurement repeatability or measurement reproducibility...

P. De Bièvre

Accreditation and Quality Assurance, 2008, 13(2), 61-62.

A comparison of location estimators for interlaboratory data contaminated with value and uncertainty outliers

D. L. Duewer

Accreditation and Quality Assurance, 2008, 13(4-5), 193-216.

Uncertainty evaluation for dynamic measurements modelled by a linear time-invariant system

Elster C., Link A. [PTB]

Metrologia, 2008, 45(4), 464-473.

Evaluating methods of calculating measurement uncertainty

Hall B.D. [MSL]

Metrologia, 2008, 45(2), L5-L8.

Application of consistency checking to evaluation of uncertainty in multiple replicate measurements

R. Kessel, M. Berglund, R. Wellum

Accreditation and Quality Assurance, 2008, 13(6), 293-298.

Design of experiment for evaluation of uncertainty from sampling in the framework of the fitness for purpose concept: a case study

I. Kuselman

Accreditation and Quality Assurance, 2008, 13(2), 63-68.

Comparison of GUM Supplement 1 and Bayesian analysis using a simple linear calibration model

Kyriazis G.A. [INMETRO]

Metrologia, 2008, 45(2), L9-L11.

A non-parametric coverage interval

Lin S.-H., Chan W., Chen L.-A. [Nat Chiao Tung Univ, The University of Texas]

Metrologia, 2008, 45(1), L1-L4.

Use of uncertainty information for estimation of certified values. Comparison of four approaches using data from a recent certification exercise

T. P. J. Linsinger, A. Lamberty

Accreditation and Quality Assurance, 2008, 13(4-5), 239-245.

The generalized maximum entropy trapezoidal probability density function

Lira I. [PUC]

Metrologia, 2008, 45(4), L17-L20.

On the long-run success rate of coverage intervals

Lira I. [PUC]

Metrologia, 2008, 45(4), L21-L23.

MUSE: computational aspects of a GUM supplement 1 implementation

Müller M., Wolf M., Rösslein M. [ETH, Empa]

Metrologia, 2008, 45(5), 586-594.

Uncertainty on differential measurements and its reduction using the calibration by comparison method

Ospina J., Canuto E. [Politecnico Torino]

Metrologia, 2008, 45(4), 389-394.

Uncertainty evaluation for complex propagation models by means of the theory of evidence

M. Pertile, M. De Cecco

Meas. Sci. Technol., 2008, 19, 055103 (10pp).

Evaluating expanded uncertainty in measurement with a fitted distribution

Sim C.H., Lim M.H. [Univ. Malaya]

Metrologia, 2008, 45(2), 178-184.

An inconsistency in uncertainty analysis relating to effective degrees of freedom

Willink R. [IRL]

Metrologia, 2008, 45(1), 63-67.

Estimation and uncertainty in fitting straight lines to data: different techniques

Willink R. [IRL]

Metrologia, 2008, 45(3), 290-298.

Evaluation of measurement uncertainty and its numerical calculation by a Monte Carlo method

G. Wübbeler et al.

Meas. Sci. Technol., 2008, 19, 084009 (4pp).

Evaluation of measurement uncertainty and its numerical calculation by a Monte Carlo method

G. Wübbeler, M. Krystek and C. Elster

Meas. Sci. Technol., 2008, 19, 084009 (4pp).

Evaluation of measurement uncertainty and its numerical calculation by a Monte Carlo method

G. Wübbeler, M. Krystek and C. Elster (2008).

Meas. Sci. Technol. 19, 084009 (4pp).

2009

An introduction to Bayesian methods for analyzing chemistry data. Part 1: An introduction to Bayesian theory and methods.

N. Armstrong, D.B. Hibbert

Chemometrics and Intelligent Laboratory Systems, 2009, 97(2), 194-210.

Estimation in multiple measurements

Walter Bich

Accred. Qual. Assur., 2009, 14, 389–392.

Interdependence between measurement uncertainty and metrological traceability

Walter Bich

Accred. Qual. Assur., 2009, 14, 581–586.

Non-parametric estimation of reference intervals in small non-Gaussian sample sets

J. Bjerner, E. Theodorsson, E. Hovig, A. Kallner

Accred. Qual. Assur., 2009, 14, 185–192.

Bayesian inference of a negative quantity from positive measurement results

Calonico D., Levi F., Lorini L., Mana G [INRIM]

Metrologia, 2009, 46, n°3, 267-271.

Bayesian uncertainty analysis under prior ignorance of the measurand versus analysis using the Supplement 1 to the Guide: a comparison

Elster C., Toman B. PTB, NIST]

Metrologia, 2009, 46, n°3, 261-266.

Fiducial inference applied to uncertainty estimation when identical readings are obtained under low instrument resolution

Frenkel R.B. [NMI]

Metrologia, 2009, 46, n°6, 661-667.

An uncertainty evaluation for multiple measurements by GUM, III: using a correlation coefficient

Gyeonghee Nam, Chu-Shik Kang, Hun-Young So, JongOh Choi

Accred. Qual. Assur., 2009, 14, 43–47.

A novel method of evaluating dynamic measurement uncertainty utilizing digital filters

J P Hessling

Meas. Sci. Technol., 2009, 20, 055106 (11pp)

An introduction to Bayesian methods for analyzing chemistry data. Part II: A review of applications of Bayesian methods in chemistry.

D.B. Hibbert, N. Armstrong

Chemometrics and Intelligent Laboratory Systems, 2009, 97(2), 211-220.

Rectangular distribution whose width is not exactly known: isocurvilinear trapezoidal distribution

Kacker R.N., Lawrence J.F.[NIST, George Mason Univ. Fairfax] Metrologia, 2009, 46, n°3, 254-260.

COMMENT: Lira I [Pontificia Univ. Cátolica de Chile]

Metrologia, 2009, 46, n°3, L20.

Uncertainty evaluation for IIR (infinite impulse response) filtering using a state-space approach

Alfred Link and Clemens Elster

Meas. Sci. Technol., 2009, 20, 055104 (5pp).

The probability distribution of a quantity with given mean and variance

Lira L. [DMME]

Metrologia, 2009, 46, n°6, L27-L28.

On the meaning of coverage probabilities

Lira L. [DMME]

Metrologia, 2009, 46, n°6, 616-618.

On the convergence of the Monte Carlo block design

Müller M., Rink C. [ETH, DLR]

Metrologia, 2009, 46, n°5, 404-408.

Contribution to a conversation about the Supplement 1 to the GUM

Possolo A., Toman B., Estler T. [NIST]

Metrologia, 2009, 46(1), L1-L7.

From GUM to alternative methods for measurement uncertainty evaluation

Marc Priel

Accred. Qual. Assur., 2009, 14, 235–241.

Implementation in MATLAB of the adaptive Monte Carlo method for the evaluation of measurement uncertainties

M. Solaguren-Beascoa Fernandez, J. M. Alegre Calderon, P. M. Bravo Diez

Accred. Qual. Assur., 2009, 14, 95–106.

Fiducial intervals for the magnitude of a complex-valued quantity

Wang C.M., Iyer H.K. [NIST, University of Colorado]

Metrologia, 2009, 46(1), 81-86.

A formulation of the law of propagation of uncertainty to facilitate the treatment of shared influences

Willink R.[IRL]

Metrologia, 2009, 46, n°3, 145-153

Representing Monte Carlo output distributions for transferability in uncertainty analysis: modelling with quantile functions

Willink R.[IRL]

Metrologia, 2009, 46, n°3, 154-166.

The role of the sample standard deviation in the analysis of measurement data

Robin Willink

Accred. Qual. Assur., 2009, 14, 353–358

2010

Frequentist coverage properties of uncertainty intervals for weak Poisson signals in the presence of background

K J Coakley, J D Splett and D S Simons

Meas. Sci. Technol., 2010, 21, 035102 (16pp)

About acceptance and rejection zones as defined in the EURACHEM/CITAC Guide (2007) ‘‘Use of uncertainty information in compliance assessment’’

Elio Desimoni and Barbara Brunetti

Accred. Qual. Assur., 2010, 15, 45–47.

RESPONSE: Stephen L. R. Ellison and A. Williams

Accred. Qual. Assur., 2010, 15, 49–51.

Rectangular distribution whose end points are not exactly known: curvilinear trapezoidal distribution

Kacker R.N., Lawrence J.F.[NIST, George Mason University]

Metrologia, 2010, 47, n°3, 120-126.

The probability distribution of a quantity known to be contained within an interval having uncertain limits

I Lira

Meas. Sci. Technol., 2010, 21, 117002 (3pp).

Bayesian assessment of uncertainty in metrology: a tutorial

Lira I., Grientschnig D.[Department of Mechanical and Metallurgical Engineering, Boehler Edelstahl]

Metrologia, 2010, 47, n°3, R1-R14.

Equivalence of alternative Bayesian procedures for evaluating measurement uncertainty

Lira I., Grientschnig D.[Pontificia Universidad Católica de Chile, Boehler Edelstahl]

Metrologia, 2010, 47, n°3, 334-336.

Uncertainty evaluation for the estimate of a complex-valued quantity modulus

Pennecchi F., Oberto L.[INRIM]

Metrologia, 2010, 47, n°3, 157-166.

Copulas for uncertainty analysis

Possolo A.[NIST]

Metrologia, 2010, 47, n°3, 262-271.

Joint parameter confidence regions improve the power of parametric regression in method-comparison studies

W. A. Sadler

Accred. Qual. Assur., 2010, 15, 547–554.

Difficulties arising from the representation of the measurand by a probability distribution

R. Willink

Meas. Sci. Technol., 2010, 21, 015110 (11pp).

Measurement of small quantities: further observations on Bayesian methodology

R. Willink

Accred. Qual. Assur., 2010, 15, 521–527.

On the validity of methods of uncertainty evaluation

Willink R.[Industrial Research Ltd]

Metrologia, 2010, 47, n°1, 80-89.

Probability, belief and success rate: comments on 'On the meaning of coverage probabilities'

Willink R.[Industrial Research Ltd]

Metrologia, 2010, 47, n°3, 343-346

REPLY: Lira I.[Pontificia Universidad Católica de Chile]

Metrologia, 2010, 47, n°3, 347.

Uncertainty in repeated measurement of a small non-negative quantity: explanation and discussion of Bayesian methodology

Robin Willink

Accred. Qual. Assur., 2010, 15, 181–188.

RESPONSE: Analytical Method Committee, The Royal Society of Chemistry

Accred. Qual. Assur., 2010, 15, 189–191. Comments to EURACHEM/CITAC guide ‘‘Measurement uncertainty arising from sampling’’

Peter-Theodor Wilrich

Accred. Qual. Assur., 2010, 15, 529–531.

REPLY: Michael H. Ramsey and Stephen L. R. Ellison

Accred. Qual. Assur., 2010, 15, 533–535.

A two-stage procedure for determining the number of trials in the application of a Monte Carlo method for uncertainty evaluation

Wübbeler G., Harris P.M., Cox M.G., Elster C.[PTB, NPL]

Metrologia, 2010, 47, n°3, 317-324

2011

On the application of Supplement 1 to the GUM to non-linear problems

Bodnar O., Wübbeler G., Elster C.[PTB]

Metrologia, 2011, 48, n°5, 333-342.

A compact tensor algebra expression of the law of propagation of uncertainty

Bouchot C., Castro Quilantán J.L., Sánchez Ochoa J.C.[Escuela Superior de Ingeniería Química e Industrías Extractivas, Escuela Superior de Física y Matemáticas]

Metrologia, 2011, 48, n°3, L22-L28.

On the choice of a noninformative prior for Bayesian inference of discretized normal observations.

C. Elster and I. Lira (2011).

Computational Statistics. Published Online First: 31 March 2011, doi :10.1007/s00180-011-0251-7.

Bayesian uncertainty analysis for a regression model versus application of GUM Supplement 1 to the least-squares estimate

Elster C., Toman B.[PTB, NIST]

Metrologia, 2011, 48, n°5, 233-240.

Measuring with zero measurement uncertainty a primitive quantity

Xavier Fuentes-Arderiu

Accred. Qual. Assur., 2011, 16, 103.

Reassessment of a calibration model by Bayesian reference analysis

Grientschnig D., Lira I.[Böhler Edelstahl, Pontificia Universidad Católica de Chile]

Metrologia, 2011, 48, n°1, L7-L11.

On the expression of measurement uncertainty for complex quantities with unknown phase

Hall B.D.[MSL]

Metrologia, 2011, 48, n°5, 324-332.

Using simulation to check uncertainty calculations

B. D. Hall

Meas. Sci. Technol., 2011, 22, 025105 (10pp).

Propagation of dynamic measurement uncertainty

J. P. Hessling

Meas. Sci. Technol., 2011, 22, 105105 (13pp)

Derivation of isosceles trapezoidal distributions

Raghu N Kacker and James F Lawrence

Meas. Sci. Technol., 2011, 22, 015106 (5pp).

A least-squares algorithm for fitting data points with mutually correlated coordinates to a straight line

Michael Krystek and Mathias Anton

Meas. Sci. Technol., 2011, 22, 035101 (9pp)

Quantifying the predictive uncertainty of complex numerical models

McGrattan K., Toman B.[NIST]

Metrologia, 2011, 48, n°3, 173-180.

On the use of the ‘uncertainty budget’ to detect dominant terms in the evaluation of measurement uncertainty

Manuel Solaguren-Beascoa Fernández,

Accred. Qual. Assur., 2011, 16, 83–88.

Dark uncertainty

Michael Thompson and Stephen L. R. Ellison

Accred. Qual. Assur., 2011, 16, 483–487.

2012

Revision of the ''Guide to the Expression of Uncertainty in Measurement”.

W. Bich, M. G. Cox, R. Dybkaer, C. Elster, W. T. Estler, B. Hibbert, H. Imai, W. Kool, C. Michotte, L. Nielsen, L. Pendrill, S. Sidney, A. M. H. van der Veen and W. Wöger

Metrologia, 2012, 49, 702-705.

On the choice of a noninformative prior for Bayesian inference of discretized normal observations.

C. Elster and I. Lira

Comput. Stat., 2012, 27, 219-235.

Revision of 'Reassessment of a calibration model by Bayesian reference analysis'

Grientschnig D., Lira I.[Böhler Edelstahl, Department of Mechanical and Metallurgical Engineering (Pontificia Universidad Católica de Chile)]

Metrologia, 2012, 49, n°1, L1-L3.

The multivariate normal mean - sensitivity of its objective Bayesian estimates.

K. Klauenberg and C. Elster

Metrologia, 2012, 49, 395-400.

Assignment of a non-informative prior when using a calibration function

I Lira and D Grientschnig

Meas. Sci. Technol., 2012, 23, 015001 (6pp)

On non-linear estimation of a measurand

Wang C.M., Iyer H.K [NIST, Department of Statistics (Colorado State University)]

Metrologia, 2012, 49, n°1, 20-26.