Rosenthal Inequality for NOD Sequences and Its Applications  

作　　者：GAN Shixin CHEN Pingyan QIU Dehua 

机构地区：[1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China [2]Department of Mathematics, Jinan University, Guangzhou 510630, Guangdong, China [3]Department of Mathematics and Computer Science, Guangdong Business College, Guangzhou 510320, Guangdong, China

出　　处：《Wuhan University Journal of Natural Sciences》2011年第3期185-189,共5页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (10671149,60574002)

摘　　要：Rosenthal inequality for NOD （negatively＇ orthant dependent） random variable sequences is established. As its applications, two theorems of complete convergence of weighted sums for arrays of NOD random variables are given, which extend the corresponding known results.Rosenthal inequality for NOD （negatively＇ orthant dependent） random variable sequences is established. As its applications, two theorems of complete convergence of weighted sums for arrays of NOD random variables are given, which extend the corresponding known results.

关 键 词：Rosenthal inequality ARRAY NOD （negatively orthant dependent） random variable sequence complete convergence 

分 类 号：O211[理学—概率论与数理统计]