A computational system for uncertainty propagation of measurement results

Measurement: Journal of the International Measurement Confederation

Volumn 42, Issue 6, 2009, Pages 844-855

  Mari, Luca ^a  

^a CREMS Centre for Research on Health Economics Social and Health Care Management Carlo Cattaneo University LIUC   (Italy)

Author keywords

Automatic differentiation; Computational methods for measurement; Uncertainty propagation

Indexed keywords

AUTOMATIC DIFFERENTIATION; COMPUTATIONAL PROCESS; COMPUTATIONAL SYSTEMS; DEDICATED SYSTEMS; DESIGN ISSUES; DYNAMIC SYSTEMS; EVALUATION SYSTEMS; INPUT UNCERTAINTIES; MEASUREMENT RESULTS; PARTIAL DERIVATIVES; SIMULATION ENGINES; SOFTWARE LIBRARIES; STANDARD UNCERTAINTIES; UNCERTAINTY EVALUATIONS; UNCERTAINTY PROPAGATION; USER-ORIENTED;

COMPUTER SOFTWARE; DYNAMIC PROGRAMMING;

UNCERTAINTY ANALYSIS;

EID: 67349177799     PISSN: 02632241     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.measurement.2009.01.011     Document Type: Article

References (13)

1. Bridgman P.W. How much rigor is possible in physics?. In: Henkin L., Suppes P., and Tarski A. (Eds). The Axiomatic method (1959), North-Holland
2. ISO et al., ISO/IEC Guide 99:2007, International Vocabulary of Metrology - Basic and General Concepts and Associated Terms, third ed., Geneva, 2007.
3. International Organization for Standardization, Guide to the expression of uncertainty in measurement, Geneva, 1993, amended 1995 (published by ISO in the name of BIPM, IEC, IFCC, IUPAC, IUPAP and OIML) (now also ISO ENV 13005: 1999).
4. Rall L.B. The arithmetic of differentiation. Math. Mag. 59 (1986) 275
5. Hall B.D. Calculating measurement uncertainty using automatic differentiation. Meas. Sci. Technol. 13 (2002) 421-427
6. Boudjemaa R., Cox M.G., Forbes A.B., and Harris P.M. Automatic differentiation and its application in metrology. In: Ciarlini P., Cox M.G., Pavese F., and Rossi G.B. (Eds). Advanced Mathematical and Computational Tools in Metrology vol. VI (2004), World Scientific Publishing
7. Hall B.D. The GUM tree design pattern for uncertainty software. In: Ciarlini P., Cox M.G., Pavese F., and Rossi G.B. (Eds). Advanced Mathematical and Computational Tools in Metrology vol. VI (2004), World Scientific Publishing
8. M.T.Flanagan, Michael Thomas Flanagan's Java Scientific Library, Available from: http://www.ee.ucl.ac.uk/~mflanaga/java/index.html, last accessed, summer 2007.
9. Danish Technological Institute, GUM Workbench, software package by Metrodata GmbH, 1999.
10. S.Castrup, A comprehensive comparison of uncertainty analysis tools, in: Measurement Science Conference, 2004, Anaheim, CA.
11. L.Mari, D.Petri, Propagating uncertainty through discrete time dynamic systems, in: Proceedings IEEE International Workshop on Advanced Methods for Uncertainty Estimation in Measurement (AMUEM), 2006, pp. 23-26.
12. International Organization for Standardization, GUM Supplement 1: Numerical methods for the propagation of distributions.
13. International Organization for Standardization, ISO 14253-2: Geometrical Product Specifications - Inspection by measurement of workpieces and measuring equipment. Part 2: Guide to the estimation of uncertainty in GPS measurement, in calibration of measuring equipment and in product verification, 1998.