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.
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页码：1273 / 1286
页数：14
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