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E-Bayes估计渐近性质的证明
引用本文:韩明. E-Bayes估计渐近性质的证明[J]. 数学的实践与认识, 2010, 40(12)
作者姓名:韩明
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.

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

Prove of Asymptotic Properties of E-Bayesian Estimation
HAN Ming. Prove of Asymptotic Properties of E-Bayesian Estimation[J]. Mathematics in Practice and Theory, 2010, 40(12)
Authors:HAN Ming
Abstract:Development of science and technology requires the reliability of industrial products to be efficiently improved evaluate method.Relevant feference,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.
Keywords:pascal distribution  asymptotic property  e-bayesian estimation  hierarchical bayesian estimation
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