E-Bayesian estimation,properties and applications for reliability
Yanzhen Tang
Abstract
Yanzhen Tang
Abstract
This paper,developed a new parameter estimation method,named E-Bayesian estimation method,to reliability of binomial distribution.For different prior distribution,E-Bayesian estimation and hierarchical Bayesian estimation of reliability are given,and properties of E-Bayesian estimation-the relations between the E-Bayesian estimation and hierarchical Bayesian estimation are given.Finally,simulation example is given,show that the provided method is feasible and easy to perform.
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This paper,developed a new parameter estimation method,named E-Bayesian estimation method,to reliability of binomial distribution.For different prior distribution,E-Bayesian estimation and hierarchical Bayesian estimation of reliability are given,and properties of E-Bayesian estimation-the relations between the E-Bayesian estimation and hierarchical Bayesian estimation are given.Finally,simulation example is given,show that the provided method is feasible and easy to perform.
Key concepts: Bayes estimator, Bayesian probability, Bayesian average, Estimation, Mathematics, Bayesian hierarchical modeling, Bayesian linear regression, Reliability (semiconductor)