On Complete Moment Convergence for Randomly Weighted Sums of NSD Random Variables

被引：0

作者：

Sun, Xiang ^{[1
]}

Liu, Zhao-yang ^{[1
]}

Shen, Yan ^{[1
]}

Zhang, Ke-chao ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230031, Anhui, Peoples R China

来源：

JOURNAL OF MATHEMATICAL STUDY | 2019年 / 52卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Complete moment convergence; randomly weighted; negatively superadditive dependent random variables; QUADRATIC-FORMS; INEQUALITIES; ARRAYS;

D O I：

10.4208/jms.v52n1.19.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the complete moment convergence and complete convergence for randomly weighted sums of negatively superadditive dependent (NSD, in short) random variables. The results obtained in the paper generalize the convergence theorem for constant weighted sums to randomly weighted sums of dependent random variables. In addition, strong law of large numbers for NSD sequence is obtained.

引用

页码：30 / 37

页数：8

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