两两NQD列的Marcinkiewicz-Zygmund不等式及其应用（英文）  

MARCINKIEWICZ-ZYGMUND INEQUALITY FOR PAIRWISE NQD RANDOM VARIABLES AND ITS APPLICATIONS

作　　者：吴永锋[1,2] 

机构地区：[1]铜陵学院数学与计算机学院,安徽铜陵244000 [2]苏州大学金融工程研究中心与数学科学学院,江苏苏州215006

出　　处：《数学杂志》2015年第4期754-762,共9页Journal of Mathematics

基　　金：Supported by the Humanities and Social Sciences Foundation for the Youth Scholars of Ministry of Education of China(12YJCZH217);the Natural Science Foundation of Anhui Province(1308085MA03);the Key NSF of Anhui Educational Committe(KJ2014A255);the Key Grant Project for Backup Academic Leaders of Tongling University(2014tlxyxs21)

摘　　要：本文研究了两两NQD随机变量的Marcinkiewicz-Zygmund不等式及其应用的问题.利用截尾的方法,获得了两两NQD随机变量的p阶(1≤p<2)Marcinkiewicz-Zygmund不等式结果.作为应用,获得了两两NQD随机变量的两个Lr收敛性结果的简单证明,改进了陈平炎[10]和Sung[20]的相应工作.In this paper, the author studies the Marcinkiewicz-Zygmund inequality for pairwise negative quadrant dependent（NQD） random variables and it applications. By using the truncated method, the author obtains the Marcinkiewicz-Zygmund inequality with exponent p（1 ≤ p 2） for pairwise NQD random variables. As applications, the author obtains the simpler proofs of two Lrconvergence results for pairwise NQD random variables, which improve the corresponding work by Chen [10] and Sung [20] respectively.

关 键 词：两两NQD随机变量 Marcinkiewicz-Zygmund不等式 Lr收敛性 

分 类 号：O211.4[理学—概率论与数理统计]