| 缺失数据下指数族分布参数的经验Bayes检验 |
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| 引用本文： | 赵海清,谢凤莲,何家慧. 缺失数据下指数族分布参数的经验Bayes检验[J]. 湛江师范学院学报, 2014, 0(3): 43-47 |
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| 作者姓名： | 赵海清 谢凤莲 何家慧 |
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| 作者单位： | 湛江师范学院数学与计算科学学院,广东湛江524048 |
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| 基金项目： | 湛江师范学院自然科学研究青年项目[QL0903] |
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| 摘 要： | 文章在加权线性损失下讨论了带有非随机缺失数据连续型单参数指数族分布参数的经验Bayes检验问题.利用非参数插补的方法,重新构造了参数的经验Bayes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性,并获得了它的收敛速度.
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| 关 键 词： | 缺失数据 经验Bayes检验 渐近最优性 收敛速度 |
Empirical Bayes Test for Exponential Distrubition Family with Compicated Data |
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| ZHAO Haiqing,XIE Fenglian,HE Jiahui. Empirical Bayes Test for Exponential Distrubition Family with Compicated Data[J]. Journal of Zhanjiang Normal College, 2014, 0(3): 43-47 |
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| Authors: | ZHAO Haiqing XIE Fenglian HE Jiahui |
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| Affiliation: | (School of Mathematics and Computational Science, Zhanjiang Normal University, Zhanjiang 524048, Guangdong, China) |
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| Abstract: | In this paper,by nonparametric imputation in the case of missing data at non-random,the empirical Bayes test rule for the continuous one-parameter exponential family with missing data is con-structed under weighted linear loss function.The asymptotically optimal property and convergence rates for the proposes EB test are obtained under suitable conditions. |
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| Keywords: | missing data empirical Bayes test asymptotic optimality convergence rates |
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