| 指数一威布尔分布族参数的经验Bayes双侧检验问题 |
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| 引用本文： | 朱宁,方爱秋,周志龙. 指数一威布尔分布族参数的经验Bayes双侧检验问题[J]. 汕头大学学报(自然科学版), 2009, 24(2): 8-14 |
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| 作者姓名： | 朱宁 方爱秋 周志龙 |
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| 作者单位： | 桂林电子科技大学数学与计算科学学院,广西桂林541004 |
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| 摘 要： | 当分布的一个形状参数已知时，基于平方损失，研究了独立样本情形指数一威布尔分布另一形状参数的经验Bayes（EB）双边检验问题．利用概率密度函数的核估计，构造参数的检验函数，在一定的条件下证明检验函数的渐进最优性，并获得其收敛速度．
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| 关 键 词： | 核密度估计 双边检验 经验EB方法 渐进最优性 收敛速度 |
Convergence Rates of Empirical Bayes Two-sided Test for the Shape Parameter of ExponentiaI-Weibull Families |
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| ZHU Ning,FANG A i-qiu,ZHOU Zhi-long. Convergence Rates of Empirical Bayes Two-sided Test for the Shape Parameter of ExponentiaI-Weibull Families[J]. Journal of Shantou University(Natural Science Edition), 2009, 24(2): 8-14 |
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| Authors: | ZHU Ning FANG A i-qiu ZHOU Zhi-long |
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| Affiliation: | (School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, Guangxi, China) |
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| Abstract: | When one shape parameter is given, the empirical Bayes（EB） two-sided test problem of the other shape parameter for Exponential-Weibull families in the case of independence and identically distributed samples is investigated under the square loss function. By using the kernel-type density estimation, the empirical Bayes two-sided test rules are constructed. The asymptotically optimal property and convergence rates for the proposed EB test rules are obtained under suitable conditions. |
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| Keywords: | kernel estimation of density function two-sided test empirical Bayes test asymptotic optimality convergence rates |
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