Estimate R=P(X>Y) in exponential distribution, based on E-Bayesian and hierarchical Bayesian methods

Sometimes the extent of the parameter domain changes over the space of the parameter, increases the risk of posterior Bayesian. In this case, the empirical and hierarchical estimates can be a good substitute for bayesian estimation. In this study, when X and Y are two independent exponential distributions with different parameters, were estimated the E-Bayesian and hierarchical Bayesian for the under squared error loss function. This suggested methods, was compared with each other and with the Bayesian estimator using the Monte Carlo simulation and two set data.