New proposal for uncertainty evaluation in indirect measurements

This paper deals with the uncertainty evaluation in indirect measurements. The attention is mainly paid to measurement models whose input quantities are modeled as correlated random variates. Moving from a past proposal related to the use of the unscented transform to overcome key limitations of current guide to the expression of uncertainty in measurement recommendations in the presence of the input quantities modeled as uncorrelated random variates, the authors are going to present a new proposal capable of extending the advantages of the cited transform when correlated input random variates are also concerned. The new proposal is, in particular, addressed to nonlinear and/or nonanalytical measurement models. After describing the key features and implementation issues of the proposal, the results obtained in a number of tests on simulated and actual measurement data are given, which assess its reliability and effectiveness.

[1]  Daniel Zwillinger,et al.  CRC Standard Probability and Statistics Tables and Formulae, Student Edition , 1999 .

[2]  Jeffrey K. Uhlmann,et al.  Unscented filtering and nonlinear estimation , 2004, Proceedings of the IEEE.

[3]  L. Angrisani,et al.  The unscented transform: a powerful tool for measurement uncertainty evaluation , 2005, Proceedings of the 2005 IEEE International Workshop onAdvanced Methods for Uncertainty Estimation in Measurement, 2005..

[4]  John W. Seaman,et al.  The efficacy of fuzzy representations of uncertainty , 1994, IEEE Trans. Fuzzy Syst..

[5]  G. D'Antona,et al.  Expanded uncertainty and coverage factor computation by higher order moments analysis , 2004, Proceedings of the 21st IEEE Instrumentation and Measurement Technology Conference (IEEE Cat. No.04CH37510).

[6]  W. Beyer.  CRC Standard Probability And Statistics Tables and Formulae , 1990 .

[7]  R. Sasdelli,et al.  A numerical approach to the evaluation of uncertainty in nonconventional measurements on power systems , 2001, IMTC 2001. Proceedings of the 18th IEEE Instrumentation and Measurement Technology Conference. Rediscovering Measurement in the Age of Informatics (Cat. No.01CH 37188).

[8]  Leopoldo Angrisani,et al.  Unscented transform: a powerful tool for measurement uncertainty evaluation , 2005, IEEE Transactions on Instrumentation and Measurement.

[9]  Lamia Berrah,et al.  Fuzzy handling of measurement errors in instrumentation , 2000, IEEE Trans. Instrum. Meas..

[10]  Alessandro Ferrero,et al.  The random-fuzzy variables: a new approach to the expression of uncertainty in measurement , 2004, IEEE Transactions on Instrumentation and Measurement.

[11]  C. D. Capua,et al.  A Comparative Analysis of Fuzzy t-Norm Approaches to the Measurement Uncertainty Evaluation , 2004 .

[12]  A. Zanobini,et al.  The evaluation of the combined standard uncertainty for nonlinear models , 2002, IMTC/2002. Proceedings of the 19th IEEE Instrumentation and Measurement Technology Conference (IEEE Cat. No.00CH37276).