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

共 50 条

[1] Complete convergence and complete integral convergence for weighted sums of widely acceptable random variables under the sub-linear expectations
Jia, Chengcheng
Wu, Qunying
AIMS MATHEMATICS, 2022, 7 (05): : 8430 - 8448
[2] On complete convergence for weighted sums of m-widely acceptable random variables under sub-linear expectations and its statistical applications
Deng, Xin
Ding, Yang
Wu, Yi
Wang, Xuejun
STOCHASTIC MODELS, 2024,
[3] Complete convergence for weighted sums of widely negative dependent random variables under the sub-linear expectations
Jia, Chengcheng
Wu, Qunying
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (14) : 5018 - 5040
[4] Complete convergence for weighted sums of widely negative dependent random variables under the sub-linear expectations
Liu, Chang
Yin, Qing
FILOMAT, 2023, 37 (13) : 4453 - 4465
[5] Complete convergence and complete integral convergence for weighted sums of widely negative dependent random variables under the sub-linear expectations
Wang, Li
Wu, Qunying
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (10) : 3599 - 3615
[6] Complete convergence for weighted sums of extended negatively dependent random variables under sub-linear expectations
Yu, Donglin
Wu, Qunying
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (19) : 4741 - 4750
[7] Complete integral convergence for weighted sums of widely negative dependent random variables under the sub-linear expectations
Wang, Li
Wu, Qunying
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (24) : 8763 - 8784
[8] Complete convergence for weighted sums of widely negative orthant dependent random variables under the sub-linear expectations
Huang, Lizhen
Wu, Qunying
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2025, 54 (01) : 230 - 241
[9] Complete integral convergence for weighted sums of negatively dependent random variables under sub-linear expectations
Liu, Lunyi
Wu, Qunying
AIMS MATHEMATICS, 2023, 8 (09): : 22319 - 22337
[10] Complete convergence for weighted sums of negatively dependent random variables under sub-linear expectations
Xu, Mingzhou
Cheng, Kun
Yu, Wangke
AIMS MATHEMATICS, 2022, 7 (11): : 19998 - 20019

← 1 2 3 4 5 →