| 摘要: |
| 本文研究了在"加权线性损失"下,威布尔分布族刻度参数经验Bayes (EB)检验问题.利用概率密度函数的递归核估计,构造了刻度参数的经验Bayes检验函数,并获得了它的收敛速度,在适当的条件下,收敛速度的阶可任意接近O(n-1),推广了文献的结果.最后给出一个有关本文主要结果的例子. |
| 关键词: 威布尔分布族 密度函数的递归核估计 单调Bayes检验函数 EB检验 收敛速度 |
| DOI： |
| 分类号:O212.8 |
| 基金项目:安徽省高校自然科学基金资助项目(KJ2013Z252) |
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| IMPROVEMENT ON CONVERGENCE RATES FOR EMPIRICAL BAYES TEST FOR THE SCALE PARAMETER OF WEIBULL DISTRIBUTION FAMILY |
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HUANG Jin-chao1, LING Neng-xiang2
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1.Basic Course Department, Chouzhou Vocational Technology College, Chuzhou 239000, China;2.School of Mathematics, Hefei University of Technology, Hefei 230009, China
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| Abstract: |
| In this paper,the empirical Bayes (EB) test of scale parameter for Weibull distribution family is investigated under weighted linear loss.By using the conversive kernel-type density estimation,the empirical Bayes test rules are constructed,and convergence rates are obtained.The order of convergence rates can be arbitrartily close to O(n-1)),under suitable conditions,the results of paper are generalized.Finally an example about the main results of this paper is given. |
| Key words: Weibull distribution family the recursive kernel estimation of density function monotone Bayes test the empirical Bayes test convergence rates |
