Using simulation to find the best reliability of the Generalized Exponential Distribution

Abstract

The generalized exponential distribution is one of the most widely used distributions in the field of geometric reliability. Also, it can be used as an alternative to the Gamma or Weibull distribution in many cases. The goal of this paper is to find the best reliability function for the shape parameter of the Generalized Exponential Distribution using different methods (classical and Bayes) by using two non–information prior (Jeffery and Modify Jeffery) with different loss functions (squared error and Precautionary). The Reliability is based on the Monte Carlo study to using the simulation of the Reliability study on the performance of these estimations by using the mean square error.