The Bayesian and Hierarchical Bayesian Estimation of Exponential Distribution of Zero-failure Data
Dou Zhi-hong
Abstract
Dou Zhi-hong
Abstract
In this paper,when prior distribution of failure-rate is in form of Beta-exponential distribution,the Bayesian and Hierarchical Bayesian Estimation of zero-failure data.Then the reliability estimation of zero-failure data are come out.Finally calculation is performed regarding to practical problem,and the conclusion is the Bayes estimation is good.
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In this paper,when prior distribution of failure-rate is in form of Beta-exponential distribution,the Bayesian and Hierarchical Bayesian Estimation of zero-failure data.Then the reliability estimation of zero-failure data are come out.Finally calculation is performed regarding to practical problem,and the conclusion is the Bayes estimation is good.
Key concepts: Bayesian hierarchical modeling, Bayes estimator, Bayesian probability, Exponential distribution, Bayes' theorem, Mathematics, Zero (linguistics), Failure rate