Bayesian Estimation for Inverse Weibull Distribution Under Progressive Type-II Censored Data With Beta-Binomial Removals

Austrian Journal of Statistics

article

Pradeep Kumar Vishwakarma¹  Arun Kaushik¹  Aakriti Pandey¹  Umesh Singh¹  Sanjay Kumar Singh¹ 

[1] Department of Statistics,Institute of Science,Banaras Hindu University

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

DOI  :  10.17713/ajs.v47i1.578

学科分类：医学（综合）

来源: Austrian Statistical Society

【 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.

【 授权许可】

CC BY