两两NQD序列下Lomax分布参数的经验Bayes检验  

Empirical Bayes Test for Parameters of Lomax Distribution with NQD Random Samples

作　　者：葛露娟 周菊玲[1] 

机构地区：[1]新疆师范大学数学科学学院,乌鲁木齐830017

出　　处：《鲁东大学学报（自然科学版）》2016年第4期318-321,共4页Journal of Ludong University:Natural Science Edition

摘　　要：讨论了Lomax分布参数的经验Bayes双边检验问题.对于两两NQD样本序列,利用核函数估计方法给出了检验函数,证明了该检验函数是渐近最优的,并在适当的条件下得到其收敛速度.The two-sided test problem for parameters of the Lomax distribution was investigated by using the empirical Bayes（ EB） approach. The EB test function was constructed by using the kernel-type estimation for pariwise negative quadrant dependent（ NQD） samples,and the convergence rate for the EB test function was obtained under suitable conditions. The results show that EB test function is asymptotically optimal.

关 键 词：两两NQD样本序列 核估计 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]