Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations

被引：8

作者：

Xu, Mingzhou ^{[1
]}

Kong, Xuhang ^{[1
]}

机构：

[1] Jingdezhen Ceram Univ, Sch Informat Engn, Jingdezhen 333403, Peoples R China

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 04期

关键词：

negatively dependent random variables; complete convergence; complete moment convergence; sub-linear expectations; STATISTICAL PROBABILITY CONVERGENCE; INDEPENDENT RANDOM-VARIABLES; LARGE NUMBERS; LAW; INEQUALITIES;

D O I：

10.3934/math.2023428

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the complete convergence and the complete moment convergence for negatively dependent (ND) random variables under sub-linear expectations. Under proper conditions of the moment of random variables, we establish the complete convergence and the complete moment convergence. As applications, we obtain the Marcinkiewcz-Zygmund type strong law of large numbers of ND random variables under sub-linear expectations. The results here generalize the corresponding ones in classic probability space to those under sub-linear expectations.

引用

页码：8504 / 8521

页数：18

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