Simultaneous estimation of gamma scale parameter under entropy loss: Bayesian approach

LetX ₁,...,X _p bep(≥ 2) independent random variables, where eachX _i has a gamma distribution withk _i andθ _i . The problem is to simultaneously estimatep gammar parametersθ _i under entropy loss where the parameters are believed priori. Hierarchical Bayes (HB) and empirical Bayes(EB) estimators are investigated. Next, computer simulation is studied to compute the risk percentage improvement of the HB, EB and the estimator of Dey et al.(1987) compared to MVUE ofθ.