On Complete and Complete Moment Convergence for Weighted Sums of Widely Orthant Dependent Random Variables

被引：2

作者：

Wu, Caoqing ^{[1
]}

Ning, Mingming ^{[1
]}

Shen, Aiting ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China

来源：

FILOMAT | 2018年 / 32卷 / 15期

基金：

中国国家自然科学基金;

关键词：

widely orthant dependent random variables; complete convergence; complete moment convergence; slowly varying function; PRECISE LARGE DEVIATIONS; ARRAYS;

D O I：

10.2298/FIL1815347W

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, the complete convergence for weighted sums of widely orthant dependent (WOD, in short) random variables without identical distribution is investigated. In addition, the complete moment convergence for weighted sums of WOD random variables is also obtained. The results obtained in the paper generalize some corresponding ones for some dependent random variables.

引用

页码：5347 / 5359

页数：13

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