产品可靠度的E-Bayes估计  

E-Bayesian Estimation of Product Reliability

作　　者：韩明[1] 

机构地区：[1]福建工程学院数理系,福州350014

出　　处：《大学数学》2007年第3期83-87,共5页College Mathematics

基　　金：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.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.

关 键 词：可靠度 E-BAYES估计 多层BAYES估计 

分 类 号：O213.2[理学—概率论与数理统计]