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  • 薛婷婷,韦程东,陈志强.NA样本情形线性指数分布参数的经验Bayes估计[J].广西科学院学报,2008,24(3):171-173,176.    [点击复制]
  • XUE Ting-ting,WEI Cheng-dong,CHEN Zhi-qiang.The Empirical Bayes Estimation for the Parameter of Linear Exponential Distribution in the Case of NA Samples[J].Journal of Guangxi Academy of Sciences,2008,24(3):171-173,176.   [点击复制]
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NA样本情形线性指数分布参数的经验Bayes估计
薛婷婷1, 韦程东2, 陈志强2
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(1.佳木斯大学理学院, 黑龙江佳木斯 154007;2.广西师范学院数学与计算机科学系, 广西南宁 530001)
摘要:
利用同分布负相协(NA)样本构造密度函数及其导数的核估计,得到线性指数分布参数的经验Bayes (EB)估计,并给出EB估计在适当条件下的收敛速度.
关键词:  线性指数  NA样本  经验Bayes估计  收敛速度
DOI:
投稿时间:2007-10-16修订日期:2008-03-07
基金项目:广西自然科学基金项目(0575051),广西教育厅科研项目资助。
The Empirical Bayes Estimation for the Parameter of Linear Exponential Distribution in the Case of NA Samples
XUE Ting-ting1, WEI Cheng-dong2, CHEN Zhi-qiang2
(1.College of Natural Science, Jiamusi University, Jiamusi, Heilongjiang, 154007, China;2.Department of Mathematics and Computer Science, Guangxi Teachers Education University, Nanning, Guangxi, 530001, China)
Abstract:
Density function and kernel estimation its derivative is constructed by using the negatively associated (NA) samples,and the empirical bayes estimation of linear exponential distribution has been derived,it is shown that the convergence rate of EB estimation are established under suitable conditions.
Key words:  linear exponential  NA samples  empirical Bayes estimation  convergence rate

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