Bayesian inference based on a jointly type-Ⅱ censored sample from two exponential populations

摘要

In this paper, based on a jointly type-Ⅱ censored sample from two exponential populations, the Bayesian inference for the two unknown parameters are developed with the use of squared-error, linear-exponential and general entropy loss functions. The problem of predicting the future failure times, both point and interval prediction, based on the observed joint type-Ⅱ censored data, is also addressed from a Bayesian viewpoint. A Monte Carlo simulation study is conducted to compare the Bayesian estimators with the maximum likelihood estimator developed by Balakrishnan and Rasouli [Exact likelihood inference for two exponential populations under joint type-Ⅱ censoring. Comput Stat Data Anal. 2008;52:2725-2738]. Finally, a numerical example is utilized for the purpose of illustration.