Estimating the Bayesian Reliability of the (Chen – Poisson ) distribution under different loss functions

Abstract

The process of estimating the reliability function is one of the important processes, where the (Chen-Poisson) distribution was adopted using the standard Bayes method based on the quadratic loss function and the general entropy loss function. Estimation The simulation method (Monte-Carlo) was employed to generate data with different sample sizes (25,50,75,100), and the results showed that the standard Bayes method by adopting the entropy loss function is the most efficient for estimating the reliability function of the (Chen-Poisson) distribution for most default values, by adopting The statistical measure is the mean of squares integral error (IMSE).