两两NQD序列下Kumaraswamy分布的经验Bayes检验问题

Empirical Bayes Test for the Parameter of Kumaraswamy Distribution with NQD Samples

研究了同分布两两NQD样本下Kumaraswamy分布的经验Bayes(EB)单侧检验问题.利用核估计构造了参数相应的经验Bayes(EB)单侧检验函数,在适当的条件下证明了所提出的EB检验函数是渐近最优的,并获得了EB检验函数的收敛速度.

In this paper, the Empirical Bayes （EB） one-side test rules for the parameter of Kumaraswamy distribution are constructed by using the kernel estimation with pairwise NQD samples. The asymptotically op- timal property and convergence rates for the proposed EB test rules are obtained under suitable conditions.