ГОСТ Р 54500.3.2-2013/Руководство ИСО/МЭК 98-3:2008/Дополнение 2:2011 Неопределенность измерения. Часть 3. Руководство по выражению неопределенности измерения. Дополнение 2. Обобщение на случай произвольного числа выходных величин

[1]

Barnett, V. The ordering of multivariate data. J.R.Statist. Soc. A 139 (1976), 318.

[2]

Bich, W., Callegaro, L., and Pennecchi, F. Non-linear models and best estimates in the GUM. Metrologia 43 (2006), 196-199.

[3]

Bich, W., Cox, M.G., and Harris, P.M. Uncertainty modelling in mass comparisons. Metrologia 30 (1993), 1-12.

[4]

Chayes, F. Petrographic Modal Analysis: An Elementary Statistical Appraisal. John Wiley & Sons, New York, 1956.

[5]

Comtet, L. Bonferroni Inequalities - Advanced Combinatorics: The Art of Finite and In_nite Expansions. Reidel, Dordrecht, Netherlands, 1974.

[6]

Cox, M.G., Esward, T.J., Harris, P.M., McCormick, N., Ridler, N.M., Salter, M.J., and Walton, J.P. R.B. Visualization of uncertainty associated with classes of electrical measurement. Tech. Rep. CMSC 44/04, National Physical Laboratory, Teddington, UK, 2004.

[7]

Cox, M.G., and Harris, P.M. SSfM Best Practice Guide No. 6, Uncertainty evaluation. Tech. Rep. MS 6, National Physical Laboratory, Teddington, UK, 2010.

[8]

Cox, M.G., Harris, P.M., and Smith, I.M. Software speci_cations for uncertainty evaluation. Tech. Rep. MS 7, National Physical Laboratory, Teddington, UK, 2010.

[9]

EAL. Calibration of pressure balances. Tech. Rep. EAL-G26, European Cooperation for Accreditation of Laboratories, 1997.

[10]

Engen, G.F. Microwave Circuit Theory and Foundations of Microwave Metrology. Peter Peregrinus, London, 1992.

[11]

Gelman, A., Carlin, J.В., Stern, H.S., and Rubin, D.B. Bayesian Data Analysis. Chapman & Hall/CRC, Boca Raton, Florida, 2004. Second edition.

[12]

Gill, P.E., Murray, W., and Wright, M.H. Practical Optimization. Academic Press, London, 1981.

[13]

Golub, G.H., and Van Loan, C.F. Matrix Computations. John Hopkins University Press, Baltimore, MD, USA, 1996. Third edition.

[14]

Hall, B.D. On the propagation of uncertainty in complex-valued quantities. Metrologia 41 (2004), 173-177.

[15]

Kacker, R., Toman, В., and Huang, D. Comparison of ISO-GUM, draft GUM Supplement 1 and Bayesian statistics using simple linear calibration. Metrologia 43 (2006), 167-177.

[16]

Kerns, D.M., and Beatty, R.W. Basic Theory of Waveguide Junctions and Introductory Microwave Network Analysis. Pergamon Press, London, 1967.

[17]

Lewis, S., and Peggs, G. The Pressure Balance: A Practical Guide to its Use. Second edition. HMSO, London, 1991.

[18]

Lira, I. Evaluating the Uncertainty of Measurement. Fundamentals and Practical Guidance. Institute of Physics, Bristol, UK, 2002.

[19]

Mardia, К.V., Kent, J.Т., and Bibby, J.M. Multivariate Analysis. Academic Press, London, UK, 1979.

[20]

Possolo, A. Copulas for uncertainty analysis. Metrologia 47 (2010), 262-271.

[21]

Rice, J.R. Mathematical Statistics and Data Analysis, second ed. Duxbury Press, Belmont, Ca., USA, 1995.

[22]

Scott, D.W. Multivariate Density Estimation: Theory, Practice, and Visualization. John Wiley & Sons, New York, 1999.

[23]

Scott, D.W., and Sain, S.R. Multi-dimensional density estimation. In Handbook of Statistics, Volume 23, Data Mining and Computational Statistics (Amsterdam, 2004), C.Rao and E.Wegman, Eds., Elsevier, pp.229-261.

[24]

Silverman, B.W. Density Estimation. Chapman and Hall, London, 1986.

[25]

Smith, D.B. Granite, G-2. Certificate of Analysis. United States Geological Survey, Denver, Colorado, 1998.

[26]

Somlo, P.I., and Hunter, J.D. Microwave Impedance Measurement. Peter Peregrinus, London, 1985.

[27]

Strang, G., and Borre, K. Linear Algebra, Geodesy and GPS. Wiley, Wellesley-Cambridge Press, 1997.

[28]

Wubbeler, G., Harris, P.M., Cox, M.G., and Elster, C. A two-stage procedure for determining the number of trials in the application of a Monte Carlo method for uncertainty evaluation. Metrologia 47, 3 (2010), 317.

УДК 389.14:006.354

ОКС 17.020

  Т80

  Ключевые слова: измерения, неопределенность, модель измерения, многомерная модель, входные переменные, выходные переменные, оценки, стандартные неопределенности, ковариации, область охвата, способ оценивания по GUM, метод Монте-Карло