Bayesian Estimation and Prediction of Burr Type XI Distribution under Singly and Doubly Censored Samples

Abstract

The purpose of the paper is to address the problem of estimation and prediction of the Burr type XI distribution under Bayesian framework based on censored samples. Five informative and non-informative priors have been assumed under five different (symmetric and asymmetric) loss functions for posterior analysis. The expressions for Bayes estimators, posterior risks, credible intervals, posterior predictive intervals have been derived and evaluated. The simulation study has been carried out in order to assess and compare the performance of Bayesian point and interval estimators. The study indicated that for Bayesian estimation and prediction of the said distribution, the gamma prior along with quadratic loss function can efficiently be employed.