同分布负相协情形下威布尔分布族参数的经验贝叶斯检验问题

摘要

在同分布负相协样本情形下研究了威布尔分布族参数的经验贝叶斯检验.利用密度函数核估计方法构造了参数的经验贝叶斯检验函数,在加权线性损失下获得了该估计的收敛速度,在适当条件下证明了经验贝叶斯检验函数的渐近最优性.%This article studies the empirical Bayes test problem for parameter of Weibull distribution family in the case of negatively associated samples.Use kernel density estimation method to construct the empirical Bayes test function,obtain the convergence rates in the weighted linear loss and prove the asymptotic optimality of empirical Bayes test under suitable conditions.