ON COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE FOR A CLASS OF RANDOM VARIABLES

被引：12
|
作者：
Wang, Xuejun [1 ]
Wu, Yi [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 03期
基金：
中国国家自然科学基金;
关键词：
complete convergence; complete moment convergence; stochastic domination; Rosenthal type inequality; LARGE NUMBERS; SUMS; LAW;
D O I：
10.4134/JKMS.j160293
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the complete convergence and complete moment convergence for a class of random variables satisfying the Rosenthal type inequality are investigated. The sufficient and necessary conditions for the complete convergence and complete moment convergence are provided. As applications, the Baum-Katz type result and the Marcinkiewicz-Zygmund type strong law of large numbers for a class of random variables satisfying the Rosenthal type inequality are established. The results obtained in the paper extend the corresponding ones for some dependent random variables.
引用
收藏
页码：877 / 896
页数：20
相关论文
共 50 条
  • [1] Complete convergence and complete moment convergence for a class of random variables
    Wang, Xinghui
    Hu, Shuhe
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [2] Complete convergence and complete moment convergence for a class of random variables
    Xinghui Wang
    Shuhe Hu
    Journal of Inequalities and Applications, 2012
  • [3] General results of complete convergence and complete moment convergence for weighted sums of some class of random variables
    Wang, Xuejun
    Hu, Shuhe
    Volodin, Andrei
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (15) : 4494 - 4508
  • [4] Complete Convergence and Complete Moment Convergence for Extended Negatively Dependent Random Variables
    Shen, Aiting
    Zhang, Yu
    Wang, Wenjuan
    FILOMAT, 2017, 31 (05) : 1381 - 1394
  • [5] Complete moment convergence and complete convergence for weighted sums of NSD random variables
    Xin Deng
    Xuejun Wang
    Yi Wu
    Yang Ding
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016, 110 : 97 - 120
  • [6] Equivalent Conditions of Complete Convergence and Complete Moment Convergence for END Random Variables
    Aiting SHEN
    Mei YAO
    Benqiong XIAO
    ChineseAnnalsofMathematics,SeriesB, 2018, (01) : 83 - 96
  • [7] Complete convergence and complete moment convergence for negatively associated sequences of random variables
    Wu, Qunying
    Jiang, Yuanying
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [8] Complete convergence and complete moment convergence for arrays of rowwise ANA random variables
    Huang, Haiwu
    Peng, Jiangyan
    Wu, Xiongtao
    Wang, Bin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, : 1 - 13
  • [9] Complete moment convergence and complete convergence for weighted sums of NSD random variables
    Deng, Xin
    Wang, Xuejun
    Wu, Yi
    Ding, Yang
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2016, 110 (01) : 97 - 120
  • [10] Equivalent conditions of complete convergence and complete moment convergence for END random variables
    Aiting Shen
    Mei Yao
    Benqiong Xiao
    Chinese Annals of Mathematics, Series B, 2018, 39 : 83 - 96
12345