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

Authors :
Pradeep Kumar Vishwakarma
Arun Kaushik
Aakriti Pandey
Umesh Singh
Sanjay Kumar Singh
Source :
Austrian Journal of Statistics, Vol 47, Iss 1 (2018)
Publication Year :
2018
Publisher :
Austrian Statistical Society, 2018.

Abstract

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.

Details

Language :
English
ISSN :
1026597X
Volume :
47
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Austrian Journal of Statistics
Publication Type :
Academic Journal
Accession number :
edsdoj.f357de50086f4f318e538271ad82a8d4
Document Type :
article
Full Text :
https://doi.org/10.17713/ajs.v47i1.578