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Bayesian design of life testing plans under hybrid censoring scheme
Author(s) -
Bhattacharya Ritwik,
Pradhan Biswabrata
Publication year - 2018
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2240
Subject(s) - censoring (clinical trials) , markov chain monte carlo , weibull distribution , posterior probability , bayesian probability , quantile , computer science , accelerated life testing , markov chain , statistics , mathematics , reliability engineering , engineering
This article describes Bayes design of hybrid‐censored life testing plans. A design criterion based on posterior variance of quantile of suitable order is proposed. The Weibull lifetime model with gamma prior distribution on model parameters is considered for illustration. Instead of using Markov chain Monte Carlo technique to compute the posterior quantities of interest, a large sample approximation is considered, which is easy to apply. Some life testing plans are presented. The effect of different prior information on the posterior quantity of interest is studied.