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 数学进展 - 2016, Vol. 45(2): 280-288
 研究论文
 Lomax 分布族形状参数的经验Bayes检验函数的收敛速度 Convergence Rates for Empirical Bayes Tests for the Shape Parameter of Lomax Distribution Family 黄金超1,凌能祥2 HUANG Jinchao1, LING Nengxiang2 1.滁州职业技术学院基础部,~滁州, 安徽, 239000; 2. 合肥工业大学数学学院,~合肥, 安徽, 230009 1. Basic Course Department, Chuzhou Vocational Technology College, Chuzhou, Anhui, 239000, P. R. China; 2. School of Mathematics, Hefei University of Technology, Hefei, Anhui, 230009,P. R. China 收稿日期: 2014-09-30 出版日期: 2016-03-10 2016, Vol. 45(2): 280-288 DOI: 10.11845/sxjz.2014158b
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Abstract

In this paper, the empirical Bayes (EB) test problem of shape parameter for Lomax distribution family is investigated. By using the recursive kernel estimation of density function, the monotone empirical Bayes test rules are constructed. And convergence rates are obtained under suitable conditions. The convergence rates can be arbitrarily close to $O(n^{-1})$. Finally, an example concerning with the main result is given.

 PACS: O212.1

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