Bayesian Approach to Estimating the Reliability Parameter in the Weibull Model

In this article, when random variables X and Y are independent and have Weibull distributions with identical shape parameters and di erent scale parameters, E- Bayesian estimation and hierarchical Bayesian estimation of R = P (X Y ) are obtained under the loss function of mean square error. Then, using Monte Carlo simulation method, these new estimates are compared with each other and with Bayesian estimate R