Bayesian Estimation for Inverse Weibull Distribution under Progressive Type-II Censored Data with Beta-Binomial Removals

被引：7

作者：

Vishwakarma, Pradeep K. ^{[1
]}

Kaushik, Arun ^{[1
]}

Pandey, Aakriti ^{[1
]}

Singh, Umesh ^{[1
]}

Singh, Sanjay K. ^{[1
]}

机构：

[1] Banaras Hindu Univ, Inst Sci, Dept Stat, Varanasi 221005, Uttar Pradesh, India

来源：

AUSTRIAN JOURNAL OF STATISTICS | 2018年 / 47卷 / 01期

关键词：

inverse Weibull distribution; progressive type-II censoring; beta-binomial removals; maximum likelihood estimates Bayes estimates; MCMC technique;

D O I：

10.17713/ajs.v47i1.578

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

This paper deals with the estimation procedure for inverse Weibull distribution under progressive type-II censored samples when removals follow Beta-binomial probability law. To estimate the unknown parameters, the maximum likelihood and Bayes estimators are obtained under progressive censoring scheme mentioned above. Bayes estimates are obtained using Markov chain Monte Carlo (MCMC) technique considering square error loss function and compared with the corresponding MLE's. Further, the expected total time on test is obtained under considered censoring scheme. Finally, a real data set has been analysed to check the validity of the study.

引用

页码：77 / 94

页数：18

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