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产品可靠度的E-Bayes估计
引用本文:韩明.产品可靠度的E-Bayes估计[J].大学数学,2007,23(3):83-87.
作者姓名:韩明
作者单位:福建工程学院,数理系,福州,350014
基金项目:福建省自然科学基金,福建工程学院人才基金资助项目
摘    要:提出了参数估计的一种新方法——E-Bayes估计法.对Pascal分布,给出了可靠度的E-Bayes估计的定义(在先验分布中有一个超参数情形),在此基础上给出了可靠度的E-Bayes估计,并给出了可靠度的E-Bayes估计性质——E-Bayes估计和多层Bayes估计的关系.最后,给出了模拟算例,结果表明本文提出的E-Bayes估计法可行且便于工程应用.

关 键 词:可靠度  E-Bayes估计  多层Bayes估计
文章编号:1672-1454(2007)03-0083-05
修稿时间:2005-10-20

E-Bayesian Estimation of Product Reliability
HAN Ming.E-Bayesian Estimation of Product Reliability[J].College Mathematics,2007,23(3):83-87.
Authors:HAN Ming
Institution:Department of Mathematics and Physics, Fujian University of Technology, Fuzhou 350014, China
Abstract:This paper develops a new method of parameter estimation,which is named "E-Bayesian estimation method".For Pascal distribution,the definition of E-Bayesian estimation(one hyper parameter case in prior distribution) for product reliability were given,and more the formulas of E-Bayesian estimation of the product reliability was given also on the base.Then discusses the character of E-Bayesian estimation—the relations between E-Bayesian estimation and hierarchical Bayesian estimation.Finally,calculations are performed according to simulation example,which show that the E-Bayesian estimation method provided in the paper is feasible,and convenient to use for engineers in engineering.
Keywords:reliability  E-Bayesian estimation  hierarchical Bayesian estimation
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