Bayesian Analysis of the Brown–Proschan Model

Abstract : The paper presents a Bayesian approach of the Brown–Proschan imperfect maintenance model. The initial failure rate is assumed to follow a Weibull distribution. A discussion of the choice of informative and non-informative prior distributions is provided. The implementation of the posterior distributions requires the Metropolis-within-Gibbs algorithm. A study on the quality of the estimators of the model obtained from Bayesian and frequentist inference is proposed. An application to real data is finally developed.
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https://hal-utt.archives-ouvertes.fr/hal-02303715
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Submitted on : Wednesday, October 2, 2019 - 2:59:29 PM
Last modification on : Thursday, October 3, 2019 - 1:27:37 AM

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Dinh Tuan Nguyen, Yann Dijoux, Mitra Fouladirad. Bayesian Analysis of the Brown–Proschan Model. Economic Quality Control, De Gruyter, 2015, 30 (1), ⟨10.1515/eqc-2015-6002⟩. ⟨hal-02303715⟩

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