Complete convergence for weighted sums of widely negative orthant dependent random variables under the sub-linear expectations

被引：0

作者：

Huang, Lizhen ^{[1
,2
]}

Wu, Qunying ^{[1
,2
]}

机构：

[1] Guilin Univ Technol, Coll Sci, Guilin, Peoples R China

[2] Guangxi Coll & Univ Key Lab Appl Stat, Guilin 541004, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2025年 / 54卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Complete convergence; the weighted sums; widely negative orthant dependent random variables; sub-linear expectations; COMPLETE MOMENT CONVERGENCE; INEQUALITIES; LAWS; ARRAYS;

D O I：

10.1080/03610926.2024.2307454

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 and establish complete convergence for widely negative orthant dependent random variables under the sub-linear expectations, which extend some complete convergence theorems for widely negative orthant dependent random variables from the classical probability space to sub-linear expectation space.

引用

页码：230 / 241

页数：12

共 28 条

[1] On the strong convergence for weighted sums of negatively associated random variables [J].

Chen, Pingyan ;

Sung, Soo Hak .

STATISTICS & PROBABILITY LETTERS, 2014, 92 :45-52

[2] Complete convergence and complete integral convergence of partial sums for moving average process under sub-linear expectations [J].

Chen, Xiaocong ;

Wu, Qunying .

AIMS MATHEMATICS, 2022, 7 (06) :9694-9715

[3] A law of the iterated logarithm under sublinear expectations [J].

Chen, Zengjing ;

Hu, Feng .

INTERNATIONAL JOURNAL OF FINANCIAL ENGINEERING, 2014, 1 (02)

[4] A Complete Convergence Theorem of the Maximum of Partial Sums Under the Sub-Linear Expectations [J].

Feng, Fengxiang ;

Zeng, Xiang .

FILOMAT, 2022, 36 (17) :5725-5735

[5] Complete and complete moment convergence for weighted sums of arrays of rowwise negatively dependent random variables under the sub-linear expectations [J].

Feng, Fengxiang ;

Wang, Dingcheng ;

Wu, Qunying ;

Huang, Haiwu .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (03) :594-608

[6] On the laws of the iterated logarithm with mean-uncertainty under sublinear expectations [J].

Guo, Xiaofan ;

Li, Shan ;

Li, Xinpeng .

PROBABILITY UNCERTAINTY AND QUANTITATIVE RISK, 2022, 7 (01) :1-12

[7] Complete convergence and complete moment convergence for widely negative orthant dependent random variables under the sub-linear expectations [J].

Kuczmaszewska, Anna .

STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2023, 95 (06) :1101-1119

[8] Complete integral convergence for arrays of row-wise extended independent random variables under Sub-linear expectations [J].

Li, Jie ;

Wu, Qunying .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2020, 49 (22) :5613-5626

[9] Theorems of complete convergence and complete integral convergence for END random variables under sub-linear expectations [J].

Liang, Ziwei ;

Wu, Qunying .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)

[10] Complete convergence and strong law of large numbers for arrays of random variables under sublinear expectations [J].

Lin, Yiwei ;

Feng, Xinwei .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2020, 49 (23) :5866-5882

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