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E-Bayesian estimation and hierarchical Bayesian estimation of failure rate

Han Ming

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Abstract

In this paper,a new method named E-Bayesian estimation method to estimate relia- bility parameters is introduced.In the case of zero-failure data for exponential distribution,the defi- nition of E-Bayesian estimation,both the E-Bayesian estimation and hierarchical Bayesian estimation of failure rate are given,and then the properties of E-Bayesian estimation are presented,calculations performed for practical problems of some engine,show that the provided method is feasible and easy to perform.

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What this paper is about

In this paper,a new method named E-Bayesian estimation method to estimate relia- bility parameters is introduced.In the case of zero-failure data for exponential distribution,the defi- nition of E-Bayesian estimation,both the E-Bayesian estimation and hierarchical Bayesian estimation of failure rate are given,and then the properties of E-Bayesian estimation are presented,calculations performed for practical problems of some engine,show that the provided method is feasible and easy to perform.

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Available abstract

In this paper,a new method named E-Bayesian estimation method to estimate relia- bility parameters is introduced.In the case of zero-failure data for exponential distribution,the defi- nition of E-Bayesian estimation,both the E-Bayesian estimation and hierarchical Bayesian estimation of failure rate are given,and then the properties of E-Bayesian estimation are presented,calculations performed for practical problems of some engine,show that the provided method is feasible and easy to perform.

Key concepts: Bayesian probability, Bayes estimator, Bayesian hierarchical modeling, Estimation, Bayesian average, Mathematics, Bayesian linear regression, Failure rate

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