Estimate the Two Parameters of Gamma Distribution Under Entropy Loss Function


AbstractIn this paper, Bayes estimators for the shape and scale parameters of Gammadistribution under the Entropy loss function have been obtained, assuming Gammaand Exponential priors for the shape and scale parameters respectively. Moment,Maximum likelihood estimators and Lindley’s approximation have been usedeffectively in Bayesian estimation. Based on Monte Carlo simulation method, thoseestimators are compared depending on the mean squared errors (MSE’s). The resultsshow that, the performance of the Bayes estimator under Entropy loss function isbetter than other estimates in all cases.