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Bayesian inference of reliability in the case of zero-failure data for the binomial distribution

Publish Year: 1403
Type: Journal paper
Language: English
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JR_SMPS-1-2_005

Index date: 20 December 2024

Bayesian inference of reliability in the case of zero-failure data for the binomial distribution abstract

This article explores Bayesian inference for the reliability of the binomial distribution in cases with zero-failure data‎. ‎We propose Expected-Bayesian (E-Bayesian) and hierarchical Bayesian estimators of reliability‎, ‎considering three different joint prior distributions of hyper-parameters in the prior distribution of reliability‎, ‎which is assumed to follow a beta distribution‎. ‎We derive closed-form expressions for the E-Bayesian estimators of reliability and propose hierarchical Bayesian estimators‎, ‎which are subsequently evaluated using Monte Carlo simulations‎. ‎Furthermore‎, ‎we study the one-sided modified Bayesian (M-Bayesian) lower credible limits for reliability‎. ‎The performance of the proposed methods is demonstrated through Monte Carlo simulations‎. ‎Finally‎, ‎a real data example is analyzed for illustrative purposes‎.‎

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Bayesian inference of reliability in the case of zero-failure data for the binomial distribution authors

Yuting Jiang

Southwest Jiaotong University Hope College‎, ‎Chengdu ۶۱۰۴۰۰‎, ‎China

Xuefeng Feng

Department of Statistics‎, ‎Southwest Jiaotong University‎, ‎Chengdu ۶۱۱۷۵۶‎, ‎China‎