Abstract
The approach for calculating the coverage region associated with the bidimensional measurand are presented. The calculation methods are based on an uncertainty propagation and a propagation of distributions. The measure of uncertainty associated with the scalar measurand is a coverage interval, but the measure of uncertainty associated with the vector measurand is a coverage region. The coverage interval is a special case of the coverage region, when the scalar output quantity is represented by a univariate measurement function. The coverage region represents the uncertainty of vector output quantity defined by multivariate measurement model.
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References
Evaluation of measurement data – Supplement 2 to the “Guide to the expression of uncertainty in measurement” – Extension to any number of output quantities. JCGM 102 (2011)
Harris, P.M., Cox, M.G.: On a Monte Carlo method for measurement uncertainty evaluation and its implementation. Metrologia 51, S176–S182 (2014)
Lira, I.: Evaluation of cycles of comparison measurements by a least-squares method. Measur. Sci. Technol. 12, 1167–1171 (2001)
Willink, R., Hall, B.D.: A classical method for uncertainty analysis with multidimensional data. Metrologia 39, 361–369 (2002)
Hall, B.D.: Calculating measurement uncertainty for complex-valued quantities. Measur. Sci. Technol. 14, 368–375 (2003)
Wang, C.M., Iyer, H.K.: Uncertainty analysis for vector measurands using fiducial inference. Metrologia 43, 486–494 (2006)
Hasselbarth, W., Bremser, W.: Measurement uncertainty for multiple measurands: characterization and comparison of uncertainty matrices. Metrologia 44, 128–145 (2007)
Hall, B.D.: Expanded uncertainty regions for complex quantities. Metrologia 50, 490–498 (2013)
Wegener, M., Schneider, E.: Application of the GUM method for state-space systems in the case of uncorrelated input uncertainties. Measur. Sci. Technol. 24, 025003 (2013)
Ridler, N.M., Salter, M.J.: Evaluating and expressing uncertainty in high-frequency electromagnetic measurements: a selective review. Metrologia 51, S191–S198 (2014)
Caja, J., Gomez, E., Maresca, P.: Optical measuring equipments. Part I: calibration model and uncertainty estimation. Precis. Eng. 40, 298–304 (2015)
Ramos, P.M., Janeiro, F.M., Girao, P.S.: Uncertainty evaluation of multivariate quantities: a case study on electrical impedance. Measurement 78, 397–411 (2016)
Hall, B.D.: Evaluating the measurement uncertainty of complex quantities: a selective review. Metrologia 53, S25–S31 (2016)
Klauenberg, K., Elster, C.: Markov chain Monte Carlo methods: an introductory example. Metrologia 53, S32–S39 (2016)
Eichstädt, S., Wilkens, V.: GUM2DFT-a software tool for uncertainty evaluation of transient signals in the frequency domain. Measur. Sci. Technol. 27, 055001 (2016)
Warsza, Z.L.: About evaluation of multivariate measurements results. J. Autom. Mob. Robot. Intell. Syst. 6, 27–32 (2012)
Warsza, Z.L., Ezhela, V.V.: Zarys podstaw teoretycznych wyznaczania i numerycznej prezentacji wyników pomiarów pośrednich wieloparametrowych. Pomiary Automatyka Kontrola 57, 175–179 (2011)
Warsza, Z.L.: Evaluation and numerical presentation of the results of indirect multivariate measurements. In: Advanced Mathematical & Computational Tools in Metrology and Testing IX. Series on Advances in Mathematics for Applied Sciences, vol. 84, pp. 418–425 (2012)
Warsza, Z.L., Ezhela, V.V.: Wyznaczanie parametrów multimezurandu z pomiarów wieloparametrowych. Część 1. Podstawy teoretyczne – w zarysie. Pomiary Automatyka Robotyka nr 1, 40–46 (2011)
Ezhela, V.V., Warsza, Z.L.: Przetwarzanie wyników w pomiarach wieloparametrowych. Przegląd Elektrotechniczny (Electr. Rev.) 87, 236–241 (2011)
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Fotowicz, P. (2017). Coverage Region for the Bidimensional Vector Measurand. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2017. ICA 2017. Advances in Intelligent Systems and Computing, vol 550. Springer, Cham. https://doi.org/10.1007/978-3-319-54042-9_37
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DOI: https://doi.org/10.1007/978-3-319-54042-9_37
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