可靠度的E-Bayes估计、性质及应用  

E-Bayesian estimation,properties and applications for reliability

作　　者：韩明[1] 唐燕贞[1,2] 

机构地区：[1]福建工程学院数理系,福建福州350108 [2]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《纯粹数学与应用数学》2010年第2期183-190,共8页Pure and Applied Mathematics

基　　金：福建省自然科学基金(2009J01001)

摘　　要：对二项分布的可靠度,提出了一种新的参数估计方法——E-Bayes估计法.在不同先验分布下,给出可靠度的E-Bayes估计和多层Bayes估计,并给出可靠度的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,结果表明本文提出的方法可行且便于应用.This paper,developed a new parameter estimation method,named E-Bayesian estimation method,to reliability of binomial distribution.For different prior distribution,E-Bayesian estimation and hierarchical Bayesian estimation of reliability are given,and properties of E-Bayesian estimation-the relations between the E-Bayesian estimation and hierarchical Bayesian estimation are given.Finally,simulation example is given,show that the provided method is feasible and easy to perform.

关 键 词：可靠度 二项分布 E-BAYES估计 多层BAYES估计 

分 类 号：O213.2[理学—概率论与数理统计]