Empirical Bayes estimators of reliability performances using LINEX loss under progressively Type-II censored samples

Based on progressively Type-II censored samples, the empirical estimators of reliability performances for Burr XII distribution are researched under LINEX error loss. Firstly, we obtain the Bayes estimators of the reliability performances. Secondly, different from the predecessor, the empirical Bayes estimators of the reliability performances are derived where hyper-parameter is estimated using maximum likelihood method. In the end, in order to investigate the accuracy of estimations, an illustrative example is examined numerically by means of Monte-Carlo simulation.