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

The purpose of this paper is to present a new approach for measurand uncertainty characterization. The Márkov 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 p...

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Detalhes bibliográficos
Autores: De la Rosa Vargas, José Ismael, Fleury, Gilles, Osuna, Sonia Esther, Davoust, Marie Eve
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2006
País:México
Recursos:Universidad Autónoma de Zacatecas
Repositório:Repositorio Institucional Caxcán
Idioma:inglês
OAI Identifier:oai:http://ricaxcan.uaz.edu.mx:20.500.11845/1655
Acesso em linha:http://ricaxcan.uaz.edu.mx/jspui/handle/20.500.11845/1655
https://doi.org/10.48779/90q5-gx28
Access Level:Acceso aberto
Palavra-chave:INGENIERIA Y TECNOLOGIA [7]
Gibbs sampling
indirect measurement
Markov chain Monte Carlo (MCMC)
Metropolis–Hastings (M–H)
Descrição
Resumo:The purpose of this paper is to present a new approach for measurand uncertainty characterization. The Márkov 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.