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.
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页码:1247 / 1262
页数:16
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