Bayesian Analysis of the Brown–Proschan Model

Nguyen, Dinh Tuan; Dijoux, Yann; Fouladirad, Mitra

doi:10.1515/eqc-2015-6002

Cited by 3 publications

(2 citation statements)

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“…Thus, a Bayesian analysis of this model is an interesting alternative to frequentist methods. Among the studies dealing with Bayesian approaches for imperfect maintenance, we can name Nguyen et al [11] and Moneim et al [12].…”

Section: Introductionmentioning

confidence: 99%

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On inference in a class of exponential distribution under imperfect maintenance

Kamranfar

Ahmadi

Fouladirad

2022

Communications in Statistics - Simulation and Computation

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This paper deals with statistical inference for lifetime data in presence of imperfect maintenance. For the maintenance model, the Sheu and Griffith model is considered. The lifetime distribution belongs to exponential distribution class. The maximum likelihood estimation procedure of the model parameters is discussed, and confidence intervals are provided using the asymptotic likelihood theory and bootstrap approach. Based on conjugate and discrete priors, Bayesian estimators of the model parameters are developed under symmetric and asymmetric loss functions. The proposed methodologies are applied to simulated data and sensitivity analysis to different parameters and data characteristics is carried out. The effect of model misspecification is also assessed within this class of distributions through a Monte Carlo simulation study. Finally, two datasets are analyzed for demonstrative aims.

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Section: Introductionmentioning

confidence: 99%

“…Thus, based on the SG model, in which system is replaced at the nth type-I failure or at the first type-II failure whichever occurs first, the main parameters in this model are as n = 12, k = 7, and m =(6,12,11,9,6,2,12).To examine whether theoretical models Weibull, Chen, Gompertz, and Burr-XII are suitable…”

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confidence: 99%