| 负相伴样本情形线性指数分布参数的经验Bayes检验问题 |
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| 引用本文： | 陈家清,刘次华.负相伴样本情形线性指数分布参数的经验Bayes检验问题[J].数学的实践与认识,2007,37(2):92-97. |
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| 作者姓名： | 陈家清 刘次华 |
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| 作者单位： | 1. 武汉理工大学统计学系,武汉,430063
2. 华中科技大学数学系,武汉,430074 |
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| 摘 要： | 讨论了负相伴样本情形线性指数分布参数的经验Bayes(EB)单侧检验问题.利用概率密度函数的核估计构造了参数的经验Bayes单侧检验函数,在适当的条件下证明了所提出的经验Bayes检验函数的渐近最优(a.o.)性并获得了其收敛速度.最后给出一个有关主要结果的例子.
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| 关 键 词： | 经验Bayes检验 渐近最优性 收敛速度 负相伴样本 |
| 修稿时间： | 2005年8月17日 |
Empirical Bayes Test Problem for the Parameter of Linear Exponential Distribution in the Case of Negatively Associated Samples |
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| CHEN Jia-qing,LIU Ci-hua.Empirical Bayes Test Problem for the Parameter of Linear Exponential Distribution in the Case of Negatively Associated Samples[J].Mathematics in Practice and Theory,2007,37(2):92-97. |
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| Authors: | CHEN Jia-qing LIU Ci-hua |
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| Abstract: | By using the kernel-type density estimation in the case of identically distributed and negatively associated samples,the empirical Bayes one-sided test rules for the parameter of linear exponential distribution are constructed.The asymptotically optimal property and convergence rates for the proposed EB one-sided test rules are obtained under suitable conditions.Finally,an example about the main results of this paper is given. |
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| Keywords: | empirical Bayes test asymptotic optimality convergence rates negatively associated samples |
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