Bayesian Reliability Estimation of Inverted Exponential Distribution under Progressive Type-II Censored Data

Authors

Sanjay Kumar Singh, Department of Statistics and DST-CIMS, BHU Varanasi-221005, India
Umesh Singh
Abhimanyu Singh Yadav
Pradeep K. Vishwakarma

Author Country (or Countries)

India

Abstract

The present study deals with the estimation procedure for the parameter, reliability and hazard functions of the inverted exponential distribution under progressive Type-II censored data. For estimation purpose, we have considered both classical and Bayesian method of estimation. The Bayes estimates of the parameter, reliability and hazard functions are calculated under symmetric and asymmetric loss functions. We have also computed the 95% asymptotic and highest posterior density (HPD) intervals of the parameter. Further, Monte Carlo simulation technique has been used to compare the performances of the Bayes estimators with corresponding maximum likelihood estimators under both the loss functions. Finally, we analysed one real data set for illustrative purposes of the study.

Suggested Reviewers

N/A

Recommended Citation

Kumar Singh, Sanjay; Singh, Umesh; Singh Yadav, Abhimanyu; and K. Vishwakarma, Pradeep (2014) "Bayesian Reliability Estimation of Inverted Exponential Distribution under Progressive Type-II Censored Data," Journal of Statistics Applications & Probability: Vol. 3: Iss. 3, Article 3.
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol3/iss3/3