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
  • [41] Complete convergence for negatively orthant dependent random variables
    Dehua Qiu
    Qunying Wu
    Pingyan Chen
    Journal of Inequalities and Applications, 2014
  • [42] Complete convergence for negatively dependent random variables(b)
    Zarei, H.
    WSEAS Transactions on Mathematics, 2006, 5 (05) : 595 - 598
  • [43] Complete convergence for negatively orthant dependent random variables
    Qiu, Dehua
    Wu, Qunying
    Chen, Pingyan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [44] Equivalent Conditions of Complete Convergence for Weighted Sums of Sequences of Negatively Dependent Random Variables
    Guo, Mingle
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [45] 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
  • [46] Note on complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations
    Xu, Mingzhou
    Kong, Xuhang
    AIMS MATHEMATICS, 2023, 8 (04): : 8504 - 8521
  • [47] Complete and complete moment convergence for negatively associated random variables under exponential moment conditions
    Du, Qian
    Ma, Huanhuan
    Miao, Yu
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024,
  • [48] Complete moment convergence for negatively orthant dependent random variables and its applications in statistical models
    Wang, Xuejun
    Wu, Yi
    Hu, Shuhe
    Ling, Nengxiang
    STATISTICAL PAPERS, 2020, 61 (03) : 1147 - 1180
  • [49] Complete moment convergence for negatively orthant dependent random variables and its applications in statistical models
    Xuejun Wang
    Yi Wu
    Shuhe Hu
    Nengxiang Ling
    Statistical Papers, 2020, 61 : 1147 - 1180
  • [50] Complete moment convergence for partial sums of arrays of rowwise negatively superadditive dependent random variables
    Chen, Meiqian
    Chen, Kan
    Wang, Zijian
    Lu, Zhengliang
    Wang, Xuejun
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2020, 49 (05) : 1158 - 1173
12345