E Bayesian Estimation and Hierarchical Bayesian Estimation of the System Reliability Parameter

Abstract

This paper discusses the property of Bayesian estimation and E Bayesian estimation of the system reliability parameter with the zero-failure date. We give the mathematical proof of that the E Bayesian estimation of Pascal distribution's parameter is asymptotic equal to its hierarchical Bayesian estimation and E Bayesian estimation of Pascal distribution's parameter is smaller than its hierarchical Bayesian estimation.