Lr CONVERGENCE FOR WEIGHTED SUMS OF EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

被引：4

作者：

Xu, Chen ^{[1
]}

Xi, Mengmei ^{[1
]}

Wang, Xuejun ^{[1
]}

Xia, Hao ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2016年 / 10卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Extended negatively dependent random variables; L-r convergence; weighted sums; uniform integrability; PRECISE LARGE DEVIATIONS; LARGE NUMBERS; ARRAYS; LAW;

D O I：

10.7153/jmi-10-92

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some results on L-r convergence for weighted sums of extended negatively dependent random variables under r-th uniform integrability. The results obtained in the paper generalize some corresponding ones for independent random variables and some dependent random variables.

引用

页码：1157 / 1167

页数：11

共 50 条

[41] Complete convergence and complete moment convergence for maximal weighted sums of extended negatively dependent random variables under sub-linear expectations
Xu, Mingzhou
AIMS MATHEMATICS, 2023, 8 (08): : 19442 - 19460
[42] Complete Moment Convergence for Weighted Sums of Pairwise Negatively Quadrant Dependent Random Variables
Zhao, Mingming
Ding, Shengnan
Zhang, Di
Wang, Xuejun
FILOMAT, 2020, 34 (10) : 3459 - 3471
[43] On almost sure convergence for weighted sums of pairwise negatively quadrant dependent random variables
H. Jabbari
Statistical Papers, 2013, 54 : 765 - 772
[44] On almost sure convergence for weighted sums of pairwise negatively quadrant dependent random variables
Jabbari, H.
STATISTICAL PAPERS, 2013, 54 (03) : 765 - 772
[45] On the complete convergence of weighted sums for an array of rowwise negatively superadditive dependent random variables
Wang, Xinghui
Li, Xiaoqin
Hu, Shuhe
SCIENCEASIA, 2016, 42 (01): : 66 - 74
[46] Equivalent Conditions of Complete Convergence for Weighted Sums of Sequences of Negatively Dependent Random Variables
Guo, Mingle
ABSTRACT AND APPLIED ANALYSIS, 2012,
[47] Complete moment convergence for product sums of sequence of extended negatively dependent random variables
Dehua Qiu
Pingyan Chen
Journal of Inequalities and Applications, 2015
[48] On the strong convergence of weighted sums of widely dependent random variables
Cheng, Dongya
Zhang, Wenhai
Wang, Yuebao
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (21) : 6447 - 6460
[49] Complete convergence for weighted sums of negatively dependent random variables under the sub-linear expectations
Feng, Feng-Xiang
Wang, Ding-Cheng
Wu, Qun-Ying
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (06) : 1351 - 1366
[50] 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

← 1 2 3 4 5 →