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
相关论文
共 50 条
  • [1] Complete convergence and complete moment convergence for arrays of rowwise negatively superadditive dependent random variables
    Meng, Bing
    Wang, Dingcheng
    Wu, Qunying
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (16) : 3910 - 3922
  • [2] 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
  • [3] ON THE CONVERGENCE OF SERIES FOR ROWWISE SUMS OF NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES
    Huang, Haiwu
    Zhang, Qingxia
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (03) : 607 - 622
  • [4] Complete moment convergence for weighted sums of negatively superadditive dependent random variables
    Xue, Zhen
    Zhang, Liangliang
    Lei, Yingjie
    Chen, Zhigang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [5] On complete moment convergence for weighted sums of negatively superadditive dependent random variables
    Haiwu Huang
    Xuewen Lu
    Applications of Mathematics, 2020, 65 : 355 - 377
  • [6] On complete moment convergence for weighted sums of negatively superadditive dependent random variables
    Huang, Haiwu
    Lu, Xuewen
    APPLICATIONS OF MATHEMATICS, 2020, 65 (04) : 355 - 377
  • [7] Complete moment convergence for weighted sums of negatively superadditive dependent random variables
    Zhen Xue
    Liangliang Zhang
    Yingjie Lei
    Zhigang Chen
    Journal of Inequalities and Applications, 2015
  • [8] COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES
    Huang, Haiwu
    Zhang, Qingxia
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (04) : 1007 - 1025
  • [9] Complete convergence for weighted sums of arrays of rowwise negatively dependent random variables
    Meng, Bing
    Wang, Dingcheng
    PROCEEDINGS OF THE 2017 2ND INTERNATIONAL CONFERENCE ON MATERIALS SCIENCE, MACHINERY AND ENERGY ENGINEERING (MSMEE 2017), 2017, 123 : 848 - 853
  • [10] On Complete Moment Convergence of Weighted Sums for Arrays of Rowwise Negatively Associated Random Variables
    Mingle Guo
    Dongjin Zhu
    JOURNAL OF PROBABILITY AND STATISTICS, 2012, 2012
12345