COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE FOR ARRAYS OF ROWWISE NEGATIVELY DEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS

被引：1

作者：

Wang, Miaomiao ^{[1
]}

Wang, Min ^{[2
]}

Wang, Rui ^{[2
]}

Wang, Xuejun ^{[1
]}

机构：

[1] Anhui Univ, Sch Big Data & Stat, Hefei 230601, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2022年 / 16卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Negatively dependent random variables; complete convergence; complete mo-ment convergence; sub-linear expectation space; capacity; STRONG LIMIT-THEOREMS; G-BROWNIAN MOTION; LARGE NUMBERS; WEIGHTED SUMS; STRONG LAW; STOCHASTIC CALCULUS; INEQUALITIES;

D O I：

10.7153/jmi-2022-16-89

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, under some suitable conditions, we study the complete convergence and complete moment convergence for arrays of rowwise negatively dependent random variables in sub-linear expectation space (Omega,H, (E) over cap). Some general results on complete convergence and complete moment convergence for arrays of rowwise negatively dependent random variables under sub-linear expectations are established, which extend the corresponding ones in classical probability space to the case of sub-linear expectation space.

引用

页码：1347 / 1370

页数：24

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