| 威布尔分布族刻度参数的经验Bayes检验函数的收敛速度 |
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| 引用本文： | 黄金超,凌能祥.威布尔分布族刻度参数的经验Bayes检验函数的收敛速度[J].数学杂志,2014,34(4):729-738. |
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| 作者姓名： | 黄金超 凌能祥 |
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| 作者单位： | 滁州职业技术学院基础部, 安徽 滁州 239000,合肥工业大学数学学院, 安徽 合肥 230009 |
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| 基金项目： | 安徽省高校自然科学基金资助项目(KJ2013Z252) |
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| 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.
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| 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 |
| 收稿时间： | 2013/8/18 0:00:00 |
| 修稿时间： | 2013/9/29 0:00:00 |
IMPROVEMENT ON CONVERGENCE RATES FOR EMPIRICAL BAYES TEST FOR THE SCALE PARAMETER OF WEIBULL DISTRIBUTION FAMILY |
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| HUANG Jin-chao and LING Neng-xiang.IMPROVEMENT ON CONVERGENCE RATES FOR EMPIRICAL BAYES TEST FOR THE SCALE PARAMETER OF WEIBULL DISTRIBUTION FAMILY[J].Journal of Mathematics,2014,34(4):729-738. |
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| Authors: | HUANG Jin-chao and LING Neng-xiang |
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| Institution: | Basic Course Department, Chouzhou Vocational Technology College, Chuzhou 239000, China and 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. |
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| Keywords: | Weibull distribution family the recursive kernel estimation of density function monotone Bayes test the empirical Bayes test convergence rates |
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