E-Bayes估计渐近性质的证明  

Prove of Asymptotic Properties of E-Bayesian Estimation

作　　者：韩明[1] 

机构地区：[1]福建工程学院数理系,福建福州350108

出　　处：《数学的实践与认识》2010年第12期214-219,共6页Mathematics in Practice and Theory

基　　金：福建省自然科学基金(2009J01001)

摘　　要：随着科学和技术的进步需要有效地改进产品可靠性的评估方法,相关文献提出了参数估计的一种新方法——E-Bayes估计法.对Pascal分布,在两个超参数情形给出了分布参数的E-Bayes估计的定义、E-Bayes估计公式,并提出了E-Bayes估计的两个渐近性质,但没有给出证明.给出了这两个渐近性质的证明.Development of science and technology requires the reliability of industrial products to be efficiently improved evaluate method. Relevant reference, introduces a new parameter estimation method, named E-Bayesian estimation method. For Pascal distribution, in the case of two hyperparameters, the definition and expressions of E-Bayesian estimation of distribution parameter are given, and introduces two asymptotic properties, but absence proof. This paper, prove of the two asymptotic properties was given.

关 键 词：Pascal分布 渐近性质 E—Bayes估计 多层BAYES估计 

分 类 号：O212.8[理学—概率论与数理统计]