Double Stage Bayes Pre- Test shrinkage estimation for exponential distribution

Abstract

This paper deal with double bayes estimation of exponential distribution when prior information exists as an initial value using progressive censored sample type II by suggested and study properties of two pre-test Bays shrinkage estimators. The Equations bias, bias ratio, and mean square error, excepted sample size are derived and studied numerical, the results show that the proposed estimators have higher relative efficiency compared with the classical Bayesian estimator.