| 加权线性损失函数下Burr Type XII分布形状参数的经验Bayes检验 |
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| 引用本文： | 邢建平. 加权线性损失函数下Burr Type XII分布形状参数的经验Bayes检验[J]. 科学技术与工程, 2010, 10(30) |
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| 作者姓名： | 邢建平 |
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| 作者单位： | 湖南广播电视大学商贸系,长沙,10004 |
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| 摘 要： | 在加权线性损失函数下,讨论了Burr Type XII分布参数 的经验Bayes单侧检验问题,利用概率密度函数的核估计和经验分布函数构造了参数的经验Bayes单侧检验函数,并获得了它的渐近最优性,在适当的条件下证明了所提出的经验Bayes检验函数的收敛速度可任意接近 .
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| 关 键 词： | 经验Bayes检验 渐近最优性 收敛速度 加权线性损失函数 |
| 收稿时间： | 2010-08-06 |
| 修稿时间： | 2010-08-06 |
Empirical Bayes Test for the Shape Parameter of Burr Type XII Distribution Under Weighted Linear Loss Function |
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| xingjianping. Empirical Bayes Test for the Shape Parameter of Burr Type XII Distribution Under Weighted Linear Loss Function[J]. Science Technology and Engineering, 2010, 10(30) |
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| Authors: | xingjianping |
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| Affiliation: | XING Jian-ping(Department of Business,Hunan Radio and Television University,Changsha 410004,P.R.China) |
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| Abstract: | By using the kernel-type density estimation and empirical distribution function in the case of independent and indentically distributed random variables,the empirical Bayes one-sided test rules: for the parameter of Burr Type XII distribution are constructed under weighted linear loss function , and the asymptotically optimal property is obtained . It is shown that the convergence rates of the proposed EB test rules can arbitrarily close to under suitable conditions . |
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| Keywords: | empirical Bayes test asymptotic optimality convergence rates weighted linear loss function |
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