E-Bayesian Estimation Method of Parameter and Its Applications in Reliability Engineering

A evaluation method of reliability of industrial products needs to be improved effectively with the advance of science and technology.E-Bayesian estimation method of parameter estimation in reliability engineering was proposed.Based on the definition of E-Bayesian estimation of the failure probability,the formulas of E-Bayesian estimation and hierarchical Bayesian estimation of the failure probability were provided,and the characteristic of the E-Bayesian estimation,i.e.the relation between E-Bayesian estimation and hierarchical Bayesian estimation,was discussed.The calculated results by the practical problem show that the proposed E-Bayesian estimation method is feasible,and convenient in engineering application.