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Markov Chain Monte Carlo Posterior Density Approximation for a Groove-Dimensioning Purpose

Abstract : The purpose of this paper is to present a new approach for measurand uncertainty characterization. The Markov chain Monte Carlo (MCMC) is applied to measurand probability density function (pdf) estimation, which is considered as an inverse problem. The measurement characterization is driven by the pdf estimation in a nonlinear Gaussian framework with unknown variance and with limited observed data. These techniques are applied to a realistic measurand problem of groove dimensioning using remote field eddy current (RFEC) inspection. The application of resampling methods such as bootstrap and the perfect sampling for convergence diagnostics purposes gives large improvements in the accuracy of the MCMC estimates.
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Submitted on : Wednesday, March 5, 2008 - 10:21:15 AM
Last modification on : Tuesday, June 30, 2020 - 4:04:07 PM
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José Ismael de la Rosa Vargas, Gilles Fleury, Sonia Esther Osuna, Marie-Eve Davoust. Markov Chain Monte Carlo Posterior Density Approximation for a Groove-Dimensioning Purpose. IEEE Transactions on Instrumentation and Measurement, Institute of Electrical and Electronics Engineers, 2006, Vol. 55 (N°1), pp. 112-122. ⟨10.1109/TIM.2005.861495⟩. ⟨hal-00260575⟩

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