若干可积条件下相依随机阵列加权和的收敛性  

Convergence properties for weighted sums of dependent random arrays under some conditions of integrability

作　　者：胡学平 

机构地区：[1]安庆师范大学数学与计算科学学院,安徽安庆246133

出　　处：《安庆师范大学学报（自然科学版）》2017年第1期27-32,共6页Journal of Anqing Normal University(Natural Science Edition)

基　　金：安徽省高校自然科学基金(KJ2013A179);省级精品资源课程项目(2015gxk045)

摘　　要：本文系统总结了随机序(阵)列若干可积的概念、等价条件和相互关系,并通过举例加以说明。通过引入随机阵列两种可积的定义,在这些可积的条件下,利用概率矩不等式研究了相依随机阵列加权和的强收敛性和L^1收敛性。In this paper,we summarize some concepts of integrability for random variable sequences（arrays）,equivalent conditions and their mutual relations,explain their relations by some examples.Two new concepts of integrability for an array of random variables are introduced.Under these definitions of integrability and appropriate conditions on the array of weights,strong convergence and L^1 convergence for weighted sums of dependent random arrays are investigated by using moment inequality.

关 键 词：相依随机序列 一致可积 强收敛性 L^1收敛 

分 类 号：O211.4[理学—概率论与数理统计]