Abstract:
This article discusses the Bayes estimators for the parameter of exponential
distribution under di erent loss function. Here the gamma distribution is used
as the prior distributon of exponential distribution for nding the Bayes
estimator. Bayes estimators are obtained by quadratic loss function and
entropy loss function. Bayes estimators under quadratic loss function and
entropy loss function are biased estimators. Simulation results show that
Bayes estimator under entropy loss function is more e cient than Bayes
estimator under quadratic loss function with proper choice of entropy
parameter and depending on the value of prior distribution parameters. MSE
of estimators of di erent loss functions are presented graphically.
