Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables

被引：6
|
作者：
Huang, Haiwu [1 ,2 ]
Zhang, Qingxia [3 ]
Wu, Xiongtao [1 ]
机构：
[1] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China
[2] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang, Peoples R China
[3] Southwest Petr Univ, Sch Sci, Chengdu, Sichuan, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
关键词：
ANA random variables; Complete convergence; Weighed sums; Equivalent conditions; COMPLETE MOMENT CONVERGENCE; WEIGHTED SUMS; LAW; MAXIMUM; THEOREM;
D O I：
10.1186/s13660-018-1906-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented without the assumption of identical distribution. As an application of the main results, the Marcinkiewicz-Zygmund type strong law of large numbers based on weighted sums of ANA cases is obtained. The results of this paper extend and generalize some well-known corresponding ones.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables
    Haiwu Huang
    Qingxia Zhang
    Xiongtao Wu
    Journal of Inequalities and Applications, 2018
  • [2] Complete moment convergence and Lr convergence for asymptotically almost negatively associated random variables
    Xi, Mengmei
    Tang, Xufei
    Lin, Junjie
    Wang, Ming
    Wang, Xuejun
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (20) : 10373 - 10386
  • [3] Complete Convergence for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables
    Wang, Xuejun
    Hu, Shuhe
    Yang, Wenzhi
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011
  • [4] Complete moment convergence of weighted sums for asymptotically negatively associated random variables
    Huang, Haiwu
    Zeng, Hongguo
    Liu, Yonghong
    Yuan, Yuan
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024,
  • [5] Complete Convergence and Complete Moment Convergence for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables
    Huang, Haiwu
    Zhang, Qingxia
    Zoua, Hang
    Wu, Xiongtao
    FILOMAT, 2019, 33 (01) : 81 - 92
  • [6] Convergence of asymptotically negatively associated random variables with random coefficients
    Meng, Bing
    Wu, Qunying
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (08) : 2961 - 2976
  • [7] Sufficient and Necessary Conditions of Complete Convergence for Weighted Sums of PNQD Random Variables
    Wu, Qunying
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [8] Complete and complete moment convergence for arrays of rowwise asymptotically almost negatively associated random variables
    Shen, Aiting
    Wang, Rui
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (10) : 3818 - 3832
  • [9] Convergence of asymptotically almost negatively associated random variables with random coefficients
    Meng, Bing
    Wang, Dingcheng
    Wu, Qunying
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (09) : 2931 - 2945
  • [10] On Complete Convergence of Weighted Sums for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables
    Wang, Xuejun
    Hu, Shuhe
    Yang, Wenzhi
    Wang, Xinghui
    ABSTRACT AND APPLIED ANALYSIS, 2012,
12345