Burr Type XII分布参数的经验Bayes检验问题

彭家龙,赵彦晖,袁莹

系统科学与数学 ›› 2013, Vol. 33 ›› Issue (10) : 1199-1209.

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PDF(352 KB)
系统科学与数学 ›› 2013, Vol. 33 ›› Issue (10) : 1199-1209. DOI: 10.12341/jssms12196
论文

Burr Type XII分布参数的经验Bayes检验问题

    彭家龙,赵彦晖,袁莹
作者信息 +

EMPIRICAL BAYES TEST PROBLEM FOR THE PARAMETER OF BURR TYPE XII DISTRIBUTION

    PENG Jialong, ZHAO Yanhui, YUAN Ying
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摘要

研究了Burr Type XII分布参数的经验Bayes(EB)单侧和双侧检验问题.利用密度函数的递归核估计构造了参数的EB检验函数,并在适当的条件下证明了所提出的EB检验函数的渐近最优性,获得了其收敛速度. 最后给出一个有关主要结果的例子.

Abstract

In this paper, we consider the empirical Bayes (EB) one-sided and two-sided test problems for the parameter of Burr Type XII distribution. The EB test
rules are constructed by using the recursive kernel estimation of probability density function. The asymptotically optimal property and convergence rates for the proposed EB test rules are obtained under suitable conditions. Finally, an example shows the effectiveness of the main results.

关键词

Burr Type XII分布 / 递归核估计 / 经验Bayes检验 / 渐近最优性 / 收敛速度.

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彭家龙,赵彦晖,袁莹. Burr Type XII分布参数的经验Bayes检验问题. 系统科学与数学, 2013, 33(10): 1199-1209. https://doi.org/10.12341/jssms12196
PENG Jialong, ZHAO Yanhui, YUAN Ying. EMPIRICAL BAYES TEST PROBLEM FOR THE PARAMETER OF BURR TYPE XII DISTRIBUTION. Journal of Systems Science and Mathematical Sciences, 2013, 33(10): 1199-1209 https://doi.org/10.12341/jssms12196
中图分类号: 62C12    62F05   
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