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加权线性损失函数下Burr Type Ⅻ分布形状参数的经验Bayes检验 被引量:1

Empirical Bayes Test for the Shape Parameter of Burr Type Ⅻ Distribution under Weighted Linear Loss Function
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摘要 在加权线性损失函数下,讨论了BurrTypeXII分布参数θ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Ο(n-1/2)。 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 Ο(n-1/2) under suitable conditions.
作者 邢建平
出处 《科学技术与工程》 2010年第30期7477-7479,7487,共4页 Science Technology and Engineering
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 empirical Bayes test asymptotic optimality convergence rates weighted linear loss function
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