负相伴样本指数分布参数的经验Bayes检验  

Empirical Bayes Test for the Life Parameter of the Exponential Distribution in the Case of Negatively Associated Samples

作　　者：于红艳[1] 余新宏[1] 陈桂景[1] 

机构地区：[1]安徽大学数学与计算科学学院,合肥230039

出　　处：《合肥学院学报（自然科学版）》2007年第4期13-16,共4页Journal of Hefei University :Natural Sciences

摘　　要：讨论了负相伴样本情形指数分布中寿命参数θ的经验Bayes单侧检验问题:H0:θ≤θ0 H1:θ>θ0,利用概率密度函数的核估计构造了参数的经验Bayes单侧检验函数,在适当的条件下证明了所提出的经验Bayes检验函数的渐近最优性,并获得了其收敛速度.By using the kernel-type density estimation in the case of indentically distributed and negatively associated samples, the empirical Bayes one-sided test rules for the life parameter of exponential distribution are constructed. The asymptotically optimal property and convergence rates for the proposed empirical Bayes test rules are obtained under suitable conditions.

关 键 词：负相伴样本 经验BAYES检验 渐近最优性 收敛速度 

分 类 号：O212.1[理学—概率论与数理统计]