Complete moment convergence for partial sums of arrays of rowwise negatively superadditive dependent random variables

被引：4
|
作者：
Chen, Meiqian [1 ]
Chen, Kan [2 ]
Wang, Zijian [1 ]
Lu, Zhengliang [1 ]
Wang, Xuejun [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
[2] Chaohu Univ, Sch Math & Stat, Hefei, Peoples R China
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2020年 / 49卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Complete convergence; complete moment convergence; Marcinkiewicz-Zygmund type strong law of large numbers; negatively superadditive dependent random variables; MOVING AVERAGE PROCESSES; WEIGHTED SUMS;
D O I：
10.1080/03610926.2018.1554136
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 paper, the complete moment convergence for arrays of rowwise negatively superadditive dependent (NSD, for short) random variables is established. As applications, the complete convergence and the Marcinkiewicz-Zygmund type strong law of large numbers for arrays of rowwise NSD random variables are also obtained. Finally, a numerical simulation is carried out to verify the validity of theoretical results. The results obtained in the paper extend the corresponding ones in the literature.
引用
收藏
页码：1158 / 1173
页数：16
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