行为ND随机变量阵列加权和的矩完全收敛性

J4 ›› 2013, Vol. 48 ›› Issue (6): 9-13.

行为ND随机变量阵列加权和的矩完全收敛性

许日丽,郭明乐

安徽师范大学数学计算机科学学院, 安徽芜湖 241000

收稿日期:2012-06-07 出版日期:2013-06-20 发布日期:2013-06-09
通讯作者: 郭明乐(1978- ),男,教授,研究方向为极限理论. Email:2357105455@qq.com
作者简介:许日丽(1988- ),女,硕士研究生,研究方向为极限理论.Email:271790561@qq.com

Complete moment convergence of weighted sums of arrays of rowwise ND random variables

XU Ri-li, GUO Ming-le*

School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China

Received:2012-06-07 Online:2013-06-20 Published:2013-06-09

摘要/Abstract

摘要：

讨论了行为ND随机变量阵列加权和的矩完全收敛性, 利用矩不等式和截尾法获得了行为ND随机变量阵列加权和的矩完全收敛性的充分条件, 推广了相关结果。

关键词: ND随机变量阵列;加权和; 矩完全收敛性

Abstract:

Complete moment convergence of weighted sums of arrays of rowwise ND random variables was discussed. By applying moment inequality and truncation methods, the sufficient condition of complete moment convergence ofweighted sums of arrays of rowwise ND random variables was obtained. The relevant result of complete moment convergence of weighted sums of arrays of rowwise ND random variables was improved.

Key words: ND random variables; weighted sums; complete moment convergence

许日丽,郭明乐. 行为ND随机变量阵列加权和的矩完全收敛性[J]. J4, 2013, 48(6): 9-13.

XU Ri-li, GUO Ming-le*. Complete moment convergence of weighted sums of arrays of rowwise ND random variables[J]. J4, 2013, 48(6): 9-13.

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