Title :
Model selection via worst-case criterion for nonlinear bounded-error estimation
Author :
Brahim-Belhouari, Sofiane ; Kieffer, Michel ; Fleury, Gilles ; Jaulin, Luc ; Walter, Éric
Author_Institution :
Ecole Superieure d´´Electr., Gif-sur-Yvette, France
fDate :
6/1/2000 12:00:00 AM
Abstract :
In this paper, the problem of model selection for measurement purpose 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 :
curve fitting; deterministic algorithms; eddy current testing; error statistics; inverse problems; measurement errors; measurement uncertainty; modelling; nonlinear estimation; size measurement; admissible values; deterministic framework; grooves dimensioning; interval analysis; inverse problems; mean square fitted curves; measurement vector; model selection; nonlinear bounded-error estimation; optimal model; remote field eddy current inspection; set inversion procedure; uncertainty; worst-case criterion; Acoustic noise; Current measurement; Eddy currents; Error correction; Inspection; Inverse problems; Parameter estimation; Probability density function; Stochastic resonance; Uncertainty;
Journal_Title :
Instrumentation and Measurement, IEEE Transactions on
