Title :
Model selection via worst-case criterion for nonlinear bounded-error estimation
Author :
Brahim-Belhouari, Sofiane ; Kieffer, Michel ; Fleury, Gilles ; Jaulin, Luc ; Walter, Eric
Author_Institution :
Ecole Superieure d´´Electr., Gif-sur-Yvette, France
Abstract :
In this paper the problem of model selection for measurement purposes is studied. A new selection procedure in a deterministic framework is proposed. The problem of nonlinear bounded-error estimation is viewed as a set inversion procedure. As each candidate model structure leads to a specific set of admissible values of the measurement vector the worst-case criterion is used to select the optimal model. The selection procedure is applied to a real measurement problem: grooves dimensioning using remote field eddy current inspection
Keywords :
eddy current testing; error statistics; measurement errors; measurement theory; modelling; nonlinear estimation; parameter estimation; prediction theory; SIVIA algorithm; admissible values; data uncertainty; deterministic framework; grooves dimensioning; inclusion function; measurement vector; model selection; nonlinear bounded-error estimation; optimal model; real measurement problem; remote field eddy current inspection; set inversion procedure; worst-case criterion; Art; Current measurement; Ear; Eddy currents; Error correction; Inspection; Parameter estimation; Random variables; Stochastic processes; Uncertainty;
Conference_Titel :
Instrumentation and Measurement Technology Conference, 1999. IMTC/99. Proceedings of the 16th IEEE
Conference_Location :
Venice
Print_ISBN :
0-7803-5276-9
DOI :
10.1109/IMTC.1999.777024
