COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF m -WIDELY ACCEPTABLE RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS

被引：0

作者：

Pan, Shuting ^{[1
,2
]}

Hu, Ke ^{[3
]}

Hu, Xueping ^{[1
]}

Yu, Keming ^{[4
]}

机构：

[1] Anqing Normal Univ, Sch Math & Phys, Anqing, Anhui, Peoples R China

[2] Huangshan Univ, Sch Math & Stat, Huangshan, Anhui, Peoples R China

[3] Capital Normal Univ, Beijing 100037, Peoples R China

[4] Brunel Univ, Dept Math, London UB8 3PH, England

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2024年 / 18卷 / 04期

关键词：

and phrases; Sub-linear expectation; m-widely acceptable random variables; weighted sums; complete convergence; INDEPENDENT RANDOM-VARIABLES; DEPENDENT RANDOM-VARIABLES; INEQUALITIES;

D O I：

10.7153/jmi-2024-18-71

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, under the assumption of the existence of Choquet integrals, the complete convergence properties for weighted sums of m-widely acceptable random variables in sub-linear expectation space are investigated. The results obtained in the paper generalize the corresponding ones for some dependent sequences.

引用

页码：1247 / 1262

页数：16

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