Bayesian estimation of Marshall-Olkin extended exponential parameters under various approximation techniques

Abstract

In this paper, we propse Bayes estimators of the parameters ofMarshall Olkin extended exponential distribution (MOEED) introduced by Marshall-Olkin [2] for complete sample under squarederror loss function (SELF). We have used different approximationtechniques to obtain the Bayes estimate of the parameters.Monte Carlo simulation study is carried out to compare the performance of proposed estimators with the corresponding maximumlikelihood estimator (MLE's) on the basis of their simulated risk.A real data set has been considered for illustrative purpose of the study.