Complete and complete moment convergence for weighted sums of arrays of rowwise negatively dependent random variables under the sub-linear expectations

被引：15

作者：

Feng, Fengxiang ^{[1
,2
]}

Wang, Dingcheng ^{[1
]}

Wu, Qunying ^{[2
]}

Huang, Haiwu ^{[3
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

[2] Guilin Univ Technol, Coll Sci, Guilin, Guangxi, Peoples R China

[3] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2021年 / 50卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Complete convergence; complete moment convergence; sub-linear expectations; negatively dependent random variables; LARGE NUMBERS; STRONG LAW; PROBABILITIES; INEQUALITIES; MODEL;

D O I：

10.1080/03610926.2019.1639747

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：

In this article, we study complete and complete moment convergence theorems for arrays of rowwise negatively dependent random variables under the sub-linear expectations. The complete and complete moment convergence theorems in the sense of non-additive capacities are established for arrays of rowwise negatively dependent random variables. Our result improves the corresponding result of Wang et al. relative to the classical probability space.

引用

页码：594 / 608

页数：15

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