二项分布可靠度E-Bayes估计的性质

数学物理学报 ›› 2013, Vol. 33 ›› Issue (1): 62-70.

二项分布可靠度E-Bayes估计的性质

韩明

宁波工程学院理学院浙江宁波 315211

收稿日期:2011-06-26 修回日期:2012-10-11 出版日期:2013-02-25 发布日期:2013-02-25
基金资助:
宁波工程学院科研启动基金资助

Properties of E-Bayesian Estimation for the Reliability Derived form Binomial Distribution

HAN Ming

School of Science, Ningbo University of Technology, Zhejiang Ningbo 315211

Received:2011-06-26 Revised:2012-10-11 Online:2013-02-25 Published:2013-02-25
Supported by:
宁波工程学院科研启动基金资助

摘要/Abstract

摘要：

作者以前提出了一种新的参数估计方法------E-Bayes估计法, 对二项分布的可靠度, 给出了E-Bayes估计的定义、E-Bayes估计和多层Bayes估计公式,但没有给出E-Bayes估计的性质. 该文给出了二项分布可靠度E-Bayes估计的性质.

关键词: 二项分布, 可靠度, E-Bayes估计, 多层Bayes估计

Abstract:

Previously, the author introduces a new parameter estimation method---E-Bayesian estimation method, to estimate the reliability derived form Binomial distribution, the definition of E-Bayesian estimation of the reliability is provided; moreover, formulas of E-Bayesian estimation and hierarchical Bayesian estimation for the reliability are also provided, but the author did not provide propertiy of E-Bayesian estimation. This paper, properties of E-Bayesian estimation are provided.

Key words: Binomial distribution, Reliability, E-Bayesian estimation, Hierarchical Bayesian estimation

中图分类号:

62F15

韩明. 二项分布可靠度E-Bayes估计的性质[J]. 数学物理学报, 2013, 33(1): 62-70.

HAN Ming. Properties of E-Bayesian Estimation for the Reliability Derived form Binomial Distribution[J]. Acta mathematica scientia,Series A, 2013, 33(1): 62-70.

[1]	韩明. Poisson分布参数的E-Bayes估计及其性质[J]. 数学物理学报, 2016, 36(5): 1010-1016.
[2]	韩明. 只有一个失效数据情形失效概率的E-Bayes估计[J]. 数学物理学报, 2011, 31(2): 577-583.
[3]	韩明. 失效概率的E-Bayes估计及其性质[J]. 数学物理学报, 2007, 27(3): 488-495.
[4]	韩明, 丁元耀. 失效率的综合E-Bayes估计[J]. 数学物理学报, 2005, 25(5): 678-684.
[5]	林升光. 应力S(t)为复合χ^2更新过程时结构可靠度渐近正态估计[J]. 数学物理学报, 2001, 21(2): 245-251.
[6]	韩明. 无失效数据情形失效率的估计及其应用[J]. 数学物理学报, 2000, 20(3): 364-369.