Comparison of the GUM and Monte Carlo measurement uncertainty techniques with application to effective area determination in pressure standards

V. Ramnath

doi:10.1051/ijmqe/2010013

All issues

Volume 1 / No 1 (2010)

Int. J. Metrol. Qual. Eng., 1 1 (2010) 51-57

References

Open Access

Issue		Int. J. Metrol. Qual. Eng. Volume 1, Number 1, 2010


Page(s)		51 - 57
DOI		https://doi.org/10.1051/ijmqe/2010013
Published online		19 April 2010

R.S. Dadson, S.L. Lewis, G.N. Peggs, The Pressure Balance: Theory and Practice. HMSO (London, 1982) [Google Scholar]
G.N. Peggs, A Method for Computing the Effective Area of a Pressure Balance from Diametral Measurements, Technical Report (NPL, UK, 1977), MOM 23 [Google Scholar]
N.D. Samaan, Mathematical Modeling of Instruments for Pressure Metrology, Ph.D. thesis, School of Engineering, City University of London, 1990 [Google Scholar]
BIPM, IEC, IFCC, ISO, IUPAC, and OIML, Guide to the Expression of Uncertainty in Measurement. BIPM, 2nd edn. (1995), ISBN 92-67-10188-9 [Google Scholar]
JCGM/WG1, Evaluation of Measurement Data – Supplement 1 to the Guide to the Expression of Uncertainty in Measurement – Propagation of Distributions using a Monte Carlo Method. Joint Committee for Guides in Metrology, 1st edn. (2007) [Google Scholar]
M.G. Cox, P.M. Harris, Software Support for Metrology Best Practice Guide No. 6 – Uncertainty Evaluation, Technical Report (NPL, UK, 2004), ISSN 1471-4124 [Google Scholar]
G. Buonanno, G. Ficco, G. Giovinco, G. Molinar, Ten Years of Experience in Modeling Pressure Balances in Liquid Media up to Few GPa (Universita degli Studi di Cassino, 2007), ISBN 978-88-8317-037-9 [Google Scholar]
R.L. Burden, J.D. Faires, Numerical Analysis (Brooks/Cole, 2001), ISBN 0-534-38216-9 [Google Scholar]
R. Willink, A Generalization of the Welch-Satterthwaite Formula for Use with Correlated Uncertainty Components, Metrologia 44, 340 (2007) [CrossRef] [Google Scholar]
G. Molinar, M. Bergoglio, W. Sabuga, P. Otal, G. Ayildiz, Calculation of Effective Area A₀ for Six Piston-cylinder Assemblies of Pressure Balances. Results of the EUROMET Project 740, Metrologia 42, S197 (2005) [CrossRef] [Google Scholar]
M.G. Cox, P.M. Harris, Software Specifications for Uncertainty Evaluation. Technical Report (NPL, UK, 2006), ISSN 1744-475 [Google Scholar]
R.R. Cordero, G. Seckmeyer, D. Pissulla , F. Labbe, Uncertainty of experimental integrals: application to the UV index calculation, Metrologia 45, 1 (2008) [CrossRef] [Google Scholar]

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[1] R.S. Dadson, S.L. Lewis, G.N. Peggs, The Pressure Balance: Theory and Practice. HMSO (London, 1982) [Google Scholar]

[2] G.N. Peggs, A Method for Computing the Effective Area of a Pressure Balance from Diametral Measurements, Technical Report (NPL, UK, 1977), MOM 23 [Google Scholar]

[3] N.D. Samaan, Mathematical Modeling of Instruments for Pressure Metrology, Ph.D. thesis, School of Engineering, City University of London, 1990 [Google Scholar]

[4] BIPM, IEC, IFCC, ISO, IUPAC, and OIML, Guide to the Expression of Uncertainty in Measurement. BIPM, 2nd edn. (1995), ISBN 92-67-10188-9 [Google Scholar]

[5] JCGM/WG1, Evaluation of Measurement Data – Supplement 1 to the Guide to the Expression of Uncertainty in Measurement – Propagation of Distributions using a Monte Carlo Method. Joint Committee for Guides in Metrology, 1st edn. (2007) [Google Scholar]

[6] M.G. Cox, P.M. Harris, Software Support for Metrology Best Practice Guide No. 6 – Uncertainty Evaluation, Technical Report (NPL, UK, 2004), ISSN 1471-4124 [Google Scholar]

[7] G. Buonanno, G. Ficco, G. Giovinco, G. Molinar, Ten Years of Experience in Modeling Pressure Balances in Liquid Media up to Few GPa (Universita degli Studi di Cassino, 2007), ISBN 978-88-8317-037-9 [Google Scholar]

[8] R.L. Burden, J.D. Faires, Numerical Analysis (Brooks/Cole, 2001), ISBN 0-534-38216-9 [Google Scholar]

[9] R. Willink, A Generalization of the Welch-Satterthwaite Formula for Use with Correlated Uncertainty Components, Metrologia 44, 340 (2007) [CrossRef] [Google Scholar]

[10] G. Molinar, M. Bergoglio, W. Sabuga, P. Otal, G. Ayildiz, Calculation of Effective Area A₀ for Six Piston-cylinder Assemblies of Pressure Balances. Results of the EUROMET Project 740, Metrologia 42, S197 (2005) [CrossRef] [Google Scholar]

[11] M.G. Cox, P.M. Harris, Software Specifications for Uncertainty Evaluation. Technical Report (NPL, UK, 2006), ISSN 1744-475 [Google Scholar]

[12] R.R. Cordero, G. Seckmeyer, D. Pissulla , F. Labbe, Uncertainty of experimental integrals: application to the UV index calculation, Metrologia 45, 1 (2008) [CrossRef] [Google Scholar]