基于纵向数据下连续型单参数指数族参数的经验贝叶斯检验(英文)  

Empirical Bayes Test for Continuous One - Parameter Exponential Family Based on Longitudinal Data

作　　者：黄娟[1] 

机构地区：[1]广东海洋大学理学院,湛江524088

出　　处：《数学理论与应用》2011年第4期58-64,共7页Mathematical Theory and Applications

基　　金：The Scientific and technological project(2010C112006;2011C3107008)of Zhanjiang

摘　　要：本文讨论了在纵向数据下,运用非参数估计方法构造了连续型单参数指数族参数的经验贝叶斯检验函数,证明了所提出的经验贝叶斯检验函数的渐近最优性,并获得了它的收敛速度.In this paper, by nonparametric estimation, the empirical Bayes test rule for the continuous one - parame- ter exponential family with longitudinal data is constructed. The asymptotically optimal property and convergence rates for the proposed EB test are derived.

关 键 词：纵向数据 经验贝叶斯检验 渐近最优性 收敛速度 

分 类 号：O212.8[理学—概率论与数理统计]