Complete and complete integral convergence for weighted sums of arrays of rowwise widely negative dependent random variables under the sub-linear expectations

被引：6

作者：

Lu, Dawei ^{[1
,2
]}

Meng, Yao ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Dalian Univ Technol, Key Lab Computat Math & Data Intelligence Liaonin, Dalian, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2023年 / 52卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Sub-linear expectation; complete convergence; complete integral convergence; widely negative dependence; COMPLETE MOMENT CONVERGENCE;

D O I：

10.1080/03610926.2021.1934027

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 integral convergence theorems for weighted sums of arrays of rowwise widely negative dependent random variables under the sub-linear expectations. The presented results are Baum-Katz type theorems that extend the corresponding results in classical probability space to the case of sub-linear expectation space.

引用

页码：1273 / 1286

页数：14

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