Bayesian Estimation for Exponentiated Gamma Distribution Under Progressive Type-II Censoring Using Different Approximation Techniques

In this paper, we proposed the Bayesian estimation for parameter and reliability function of exponentiated gamma distribution under progressive type-II censored samples. The Bayes estimate are derived assumption independent prior by three different approximation methods namely Lindley’s approximation, Tierney-Kadane Markov Chain Monte Carlo methods. Further, comparison estimators with corresponding maximum likelihood have been carried out through simulation study. Finally, a real data set has used to illustrate above study in realistic phenomenon.