Lr convergence for arrays of rowwise m-extended negatively dependent random variables

被引：0
|
作者：
Wang, Zi-jian [1 ]
Wu, Yi [2 ]
Du, Yue [1 ]
Wang, Xue-jun [1 ]
机构：
[1] Anhui Univ, Sch Big Data & Stat, Hefei 230601, Peoples R China
[2] Chizhou Univ, Sch Big Data & Artificial Intelligence, Chizhou, Peoples R China
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2024年 / 53卷 / 20期
基金：
中国国家自然科学基金;
关键词：
m-extended negatively dependent random variables; L-r convergence; moment inequality; WEIGHTED SUMS;
D O I：
10.1080/03610926.2023.2263600
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, the Marcinkiewicz-Zygmund-type moment inequality and Rosenthal-type moment inequality for m-extended negatively dependent (m-END, for short) random variables are established. As applications of Marcinkiewicz-Zygmund-type moment inequality and Rosenthal-type moment inequality, we further investigate the L-r convergence properties for arrays of rowrise m-END random variables. Some sufficient conditions are provided. Finally, some simulations are presented to verify the validity of theoretical results. The results obtained in the article generalize some known ones for independent random variables and some dependent random variables.
引用
收藏
页码：7370 / 7383
页数：14
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