Information criteria for the choice of parametric functions for measurement

IEEE Transactions on Instrumentation and Measurement

Volumn 47, Issue 4, 1998, Pages 920-924

  Sandu, Leontina ^a   Oksman, Jacques ^a   Fleury, Gilles A ^a  

^a SUPELEC   (France)

Author keywords

Bayesian approach; Information criterion; Nondestructive evaluation; Optimal model; Optimum design

Indexed keywords

FUNCTIONS; INVERSE PROBLEMS; MATHEMATICAL MODELS; NONDESTRUCTIVE EXAMINATION;

NONLINEAR INVERSE PROBLEMS; PARAMETRIC FUNCTIONS;

MEASUREMENT THEORY;

EID: 0032131209     PISSN: 00189456     EISSN: None     Source Type: Journal    
DOI: 10.1109/19.744643     Document Type: Article

References (13)

1. V. Y. Arsenin and A. V. Krianev, "Generalized maximum likelihood method and its application for solving ill-posed problems," in Proc. Int. Conf. Inverse Problem, Moscow, Russia, Aug. 1991, pp. 3-12.
2. R. Demirli, X. M. Jin, and J. Saniie, "Modeling and parameter estimation of ultrasonic backscattered echoes," Rev. Progress in Quantitative Nondestructive Evaluation, vol. 15, pp. 137-144, 1996.
3. W. T. Eady, D. Drijard, F. E. James, M. Roos, and B. Sadoulet, Statistical Methods in Experimental Physics. London, U.K.: Elsevier, 1971.
4. G. Fleury, "Non-Intrusive time-of-flight flow-meter-Parametric estimation and optimization," Sensors and Actuators, vol. A 46-47, pp. 364-368, 1995.
5. H. Hurwitz, Jr., "Entropy reduction in Bayesian analysis of measurements," Phys. Rev. A, vol. 12, no. 2, pp. 698-706, Aug. 1975.
6. D. V. Lindley, "On a measure of information provided by an experiment," Ann. Math. Statist., vol. 27, pp. 986-1005, 1956.
7. R. Z. Morawski, "Unified approach to measurement reconstruction," IEEE Trans. Instrum. Meas., vol. 43, pp. 226-231, Apr. 1994.
8. J. P. Norton, An Introduction to Identification. London, U.K.: Academic, 1986.
9. B. D. Olin and W. Q. Meeker, "Application of statistical methods to nondestructive evaluation," Technometrics, vol. 38, no. 2, pp. 95-112, May 1996.
10. A. A. Platonov and J. Szabatin, "Analog-digital system for adaptative measurements and parameter estimation of noisy processes," IEEE Trans. Instrum. Meas., vol. 45, pp. 60-69, Feb. 1996.
11. L. Sandu and J. Oksman, "Inversion paramétrique-Applicatioen à la mesure de température d'une chambre de combustion," in Proc. 1995 Canadian Conf. Electrical and Computer Engineering, Sept. 1995, pp. 1311-1314.
12. A. Tarantola, Inverse Problem Theory - Methods for Data Fitting and Model Parameter Estimation. London, U.K.: Elsevier, 1987.
13. A. N. Thikonov, "Inverse problem in heat conduction," Inzhernerno Fizicheskii Zhurnal, vol. 29, no. 1, pp. 7-12, 1975.