The strong convergence properties of weighted sums for a class of dependent random variables

被引：2

作者：

Song, Mingzhu ^{[1
]}

Zhu, Quanxin ^{[2
,3
]}

机构：

[1] Tongling Univ, Dept Math & Comp Sci, Tongling, Anhui, Peoples R China

[2] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China

[3] Qufu Normal Univ, Sch Math Sci, Qufu, Shandong, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2020年 / 49卷 / 14期

基金：

中国国家自然科学基金;

关键词：

L<inline-graphic xlink; href="lsta_a_1589516_ilm0001; gif; >-convergence; pairwise NQD random variable; weighted sums; LARGE NUMBERS; WEAK LAWS; ARRAYS; SEQUENCES; THEOREMS;

D O I：

10.1080/03610926.2019.1589516

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Let be an arrays of rowwise pairwise negatively quadrant dependent (NQD) random variables. In this paper, some novel sufficient conditions of L-convergence for are presented. Compared with some previous results, our results are more general, even under the weaker conditions. In addition, the method applied in this paper is different from some previous papers.

引用

页码：3455 / 3465

页数：11

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