Three Prior and Double Prior Selection to Comparison Estimate Parameter Rayleigh Distribution under Data Type II Censoring

Abstract

In this study, we present estimation scale parameter of Rayleigh distribution under data the control of type II by using methods Proposed Bayesian as only prior and Double priors with a new suggestion used three Prior by using distributions Exponential and Gamma and Chi-Square. An experimental study was conducted to compare these methods and to demonstrate the efficiency of the methods proposed in practice by relying on the generated observations from Rayleigh distribution. We compare these methods by using Mean square error (MSE). We did this study by using simulation with different values parameter $(\theta)$ and different sample sizes $(\mathrm{N}=10,25,50,100)$. It has been shown through computational results that the best way to estimate is the Bayes method proposed (BAY3).