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失效概率的E-Bayes估计及其性质
引用本文:韩明. 失效概率的E-Bayes估计及其性质[J]. 数学物理学报(A辑), 2007, 27(3): 488-495
作者姓名:韩明
作者单位:福建工程学院数理系 福州
基金项目:福建省自然科学基金;福建工程学院校科研和教改项目
摘    要:该文提出了参数的一种新估计方法----- E-Bayes估计法. 在无失效数据情形, 给出了失效概率的E-Bayes估计的定义,在此基础上给出了失效概率的E-Bayes估计, 并给出了失效概率的E-Bayes估计的性质----- E-Bayes估计和多层Bayes估计的关系.最后, 给出了模拟算例, 结果表明该文提出的E-Bayes估计法可行且便于应用.

关 键 词:可靠性  无失效数据  失效概率  E-Bayes估计  多层Bayes估计
文章编号:1003-3998(2007)03-488-08
收稿时间:2005-09-01
修稿时间:2005-09-012006-08-05

Expected Bayesian Estimation of Failure Probability and Its Character
Han Ming. Expected Bayesian Estimation of Failure Probability and Its Character[J]. Acta Mathematica Scientia, 2007, 27(3): 488-495
Authors:Han Ming
Affiliation:Department of Mathematics & Physics, Fujian University of Technology, Fuzhou 350014
Abstract:This paper develops a new method of parameter estimation, which is named as E-Bayesian estimation method. In the case of zero-failure data, the defined of E-Bayesian estimation of the failure probability is provided, and more the formulas of E-Bayesian estimation of the failure probability is provided 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 method provided in the paper is practicable and easy to operate.
Keywords:Reliability  Zero-failure data  Failure probability  E-Bayesian estimation  Hierarchical Bayesian estimation.
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