Empirical Bayes Approach to Reliability Estimation for the Exponential Distribution

In the empirical Bayes (EB) approach to a reliability estimation for the exponential distribution, a prior distribution is placed on the family of prior gamma distributions to produce an EB estimator. The EB estimator is asymptotically optimal and admissible. The results of a Monte Carlo study are presented to demonstrate the favorable risk behavior of the EB estimator as a Bayes estimator if the sample size is large.