COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE FOR ARRAYS OF ROWWISE NEGATIVELY DEPENDENT RANDOM VARIABLES UNDER SUB-LINEAR EXPECTATIONS

被引：1

作者：

Wang, Miaomiao ^{[1
]}

Wang, Min ^{[2
]}

Wang, Rui ^{[2
]}

Wang, Xuejun ^{[1
]}

机构：

[1] Anhui Univ, Sch Big Data & Stat, Hefei 230601, Peoples R China

[2] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2022年 / 16卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Negatively dependent random variables; complete convergence; complete mo-ment convergence; sub-linear expectation space; capacity; STRONG LIMIT-THEOREMS; G-BROWNIAN MOTION; LARGE NUMBERS; WEIGHTED SUMS; STRONG LAW; STOCHASTIC CALCULUS; INEQUALITIES;

D O I：

10.7153/jmi-2022-16-89

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, under some suitable conditions, we study the complete convergence and complete moment convergence for arrays of rowwise negatively dependent random variables in sub-linear expectation space (Omega,H, (E) over cap). Some general results on complete convergence and complete moment convergence for arrays of rowwise negatively dependent random variables under sub-linear expectations are established, which extend the corresponding ones in classical probability space to the case of sub-linear expectation space.

引用

页码：1347 / 1370

页数：24

共 50 条

[41] ON THE COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES
Qiu, Dehua
Chen, Pingyan
Antonini, Rita Giuliano
Volodin, Andrei
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (02) : 379 - 392
[42] Theorems of complete convergence and complete integral convergence for END random variables under sub-linear expectations
Ziwei Liang
Qunying Wu
Journal of Inequalities and Applications, 2019
[43] Theorems of complete convergence and complete integral convergence for END random variables under sub-linear expectations
Liang, Ziwei
Wu, Qunying
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[44] Complete convergence for arrays of rowwise negatively orthant dependent random variables
Wang, Xuejun
Hu, Shuhe
Yang, Wenzhi
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2012, 106 (02) : 235 - 245
[45] Complete convergence for arrays of rowwise negatively orthant dependent random variables
Xuejun Wang
Shuhe Hu
Wenzhi Yang
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2012, 106 : 235 - 245
[46] Complete convergence of moving average processes produced by negatively dependent random variables under sub-linear expectations
Xu, Mingzhou
AIMS MATHEMATICS, 2023, 8 (07): : 17067 - 17080
[47] Complete convergence theorems for weighted sums of extended negatively dependent random variables under sub-linear expectations
Liu, Lunyi
Wu, Qunying
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2025, 54 (08) : 2289 - 2304
[48] Complete and complete moment convergence for arrays of rowwise asymptotically almost negatively associated random variables
Shen, Aiting
Wang, Rui
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (10) : 3818 - 3832
[49] Complete and complete integral convergence for arrays of row wise widely negative dependent random variables under the sub-linear expectations
Lu, Dawei
Meng, Yao
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (09) : 2994 - 3007
[50] Complete moment convergence for partial sums of arrays of rowwise negatively superadditive dependent random variables
Chen, Meiqian
Chen, Kan
Wang, Zijian
Lu, Zhengliang
Wang, Xuejun
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2020, 49 (05) : 1158 - 1173

← 1 2 3 4 5 →