Complete Moment Convergence for Negatively Dependent Sequences of Random Variables

被引：3
|
作者：
Wu, Qunying [1 ]
Jiang, Yuanying [1 ]
机构：
[1] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2016年 / 2016卷
基金：
中国国家自然科学基金;
关键词：
ARRAYS; SUMS;
D O I：
10.1155/2016/9039345
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the complete moment convergence for sequences of negatively dependent identically distributed random variables with EX = 0, E exp(vertical bar X vertical bar(alpha)) < infinity, 0 < alpha < 1, and E exp(vertical bar X vertical bar ln(-r) vertical bar X vertical bar) < infinity, r > 0. As a result, we establish the new complete moment convergence theorems.
引用
收藏
页数：6
相关论文
共 50 条
  • [1] Complete convergence and complete moment convergence for negatively associated sequences of random variables
    Qunying Wu
    Yuanying Jiang
    Journal of Inequalities and Applications, 2016
  • [2] Complete convergence and complete moment convergence for negatively associated sequences of random variables
    Wu, Qunying
    Jiang, Yuanying
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [3] Complete Convergence for Negatively Dependent Sequences of Random Variables
    Qunying Wu
    Journal of Inequalities and Applications, 2010
  • [4] Complete Convergence for Negatively Dependent Sequences of Random Variables
    Wu, Qunying
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [5] Complete Convergence and Complete Moment Convergence for Extended Negatively Dependent Random Variables
    Shen, Aiting
    Zhang, Yu
    Wang, Wenjuan
    FILOMAT, 2017, 31 (05) : 1381 - 1394
  • [6] Complete moment convergence of extended negatively dependent random variables
    Song, Mingzhu
    Zhu, Quanxin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [7] Complete moment convergence of extended negatively dependent random variables
    Mingzhu Song
    Quanxin Zhu
    Journal of Inequalities and Applications, 2020
  • [8] COMPLETE f -MOMENT CONVERGENCE FOR NEGATIVELY SUPERADDITIVE DEPENDENT RANDOM VARIABLES
    Wang, Liuliu
    Hu, Xueping
    Yu, Keming
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (02): : 761 - 777
  • [9] Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables
    Meng, Bing
    Wang, Dingcheng
    Wu, Qunying
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (12) : 3847 - 3863
  • [10] 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
12345