| 刻度指数族参数的经验Bayes检验问题:NA样本情形 |
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| 引用本文： | 韦来生.刻度指数族参数的经验Bayes检验问题:NA样本情形[J].应用数学学报,2000,23(3):403-412. |
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| 作者姓名： | 韦来生 |
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| 作者单位： | 中国科技大学统计与金融系,合肥,230026 |
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| 基金项目： | 国家自然科学基金(19671078,19971085)和中国科学院特别支持费资助项目. |
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| 摘 要： | 本文利用同分布负相协（ＮＡ）样本情形概率密度函数的核估计构造了刻度指数族参数的经验Ｂａｙｅｓ（ＥＢ）检验函数，并获得了它的渐近最优（ａ．ｏ．）性。在适当的条件下证明了所提出的ＥＢ检验函数收敛速度可任意接近ｏ（ｎ＾－１２）。最后给出了一个有关本文主要结果的例子。
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| 关 键 词： | NA样本 核估计 经验Bayes检验 刻度指数族参数 |
THE EMPIRICAL BAYES TEST PROBLEM FOR SCALE EXPONENTIAL FAMILY:IN THE CASE OF NA SAMPLES |
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| WEI LAISHENG.THE EMPIRICAL BAYES TEST PROBLEM FOR SCALE EXPONENTIAL FAMILY:IN THE CASE OF NA SAMPLES[J].Acta Mathematicae Applicatae Sinica,2000,23(3):403-412. |
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| Authors: | WEI LAISHENG |
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| Abstract: | By using the kernel-type density estimation in the case of identically distributed and negatively associated (NA) samples, the empirical Bayes test rules for the scale exponential family are constructed, and the asymptotically optimal property is obtained. It is shown that the convergence rates of the proposed EB test rules can arbitrarily close to O (n-) under suitable conditions. Finally, an example about the main results of this paper is given. |
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| Keywords: | NA samples the kernel estimation of density function empiricale Bayes test asymptotic optimality convergence rates |
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