Complete convergence and complete moment convergence for arrays of rowwise ANA random variables

被引：0
|
作者：
Haiwu Huang
Jiangyan Peng
Xiongtao Wu
Bin Wang
机构：
[1] Hengyang Normal University,College of Mathematics and Statistics
[2] Guilin University of Technology,College of Science
[3] University of Electronic Science and Technology of China,School of Mathematical Science
来源：
Journal of Inequalities and Applications | / 2016卷
关键词：
arrays of rowwise ANA random variables; complete convergence; complete moment convergence; weighted sums; 60F15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables. The results obtained not only generalize the corresponding ones of Sung (Stat. Pap. 52:447-454, 2011), Zhou et al. (J. Inequal. Appl. 2011:157816, 2011), and Sung (Stat. Pap. 54:773-781, 2013) to the case of ANA random variables, but also improve them.
引用
收藏
相关论文
共 50 条
  • [21] COMPLETE MOMENT CONVERGENCE FOR ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES
    Wu, Yi
    Ding, Yang
    Wang, Xuejun
    Chen, Weiyang
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (04): : 1031 - 1048
  • [22] Complete Moment Convergence for Arrays of Rowwise Widely Orthant Dependent Random Variables
    Yi Wu
    Xue Jun Wang
    Andrew Rosalsky
    [J]. Acta Mathematica Sinica, English Series, 2018, 34 : 1531 - 1548
  • [23] Complete Moment Convergence for Weighted Sums of Arrays of Rowwise NA Random Variables
    Dehua QIU Pingyan CHEN School of Mathematics and Computational Science Guangdong University of Business StudiesGuangdong P R China Department of Mathematics Jinan University Guangdong P R China
    [J]. 数学研究及应用, 2012, 32 (06) : 723 - 734
  • [24] COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES
    Huang, Haiwu
    Zhang, Qingxia
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (04) : 1007 - 1025
  • [25] On complete convergence for arrays of rowwise weakly dependent random variables
    Wang, Xuejun
    Li, Xiaoqin
    Yang, Wenzhi
    Hu, Shuhe
    [J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (11) : 1916 - 1920
  • [26] On Complete Convergence for Arrays of Rowwise Negatively Dependent Random Variables
    Shi, Ming Hua
    Zhao, Jiang Dong
    Chen, Xiao Yu
    Dong, Yong Chao
    [J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2015, 18 (03) : 283 - 292
  • [27] Complete and Complete f-Moment Convergence for Arrays of Rowwise END Random Variables and Some Applications
    Zhou, Jin Yu
    Yan, Ji Gao
    Du, Fei
    [J]. SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY, 2023, 85 (02): : 1307 - 1330
  • [28] Complete and Complete f-Moment Convergence for Arrays of Rowwise END Random Variables and Some Applications
    Zhou, Jin Yu
    Yan, Ji Gao
    Du, Fei
    [J]. SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY, 2022, 85 (2): : 1307 - 1330
  • [29] On Complete Convergence for Arrays of Rowwise Strong Mixing Random Variables
    ZHOU XING-CAI~(1
    [J]. Communications in Mathematical Research, 2011, 27 (03) : 233 - 241
  • [30] Complete Convergence for Arrays of Rowwise Negatively Dependent Random Variables
    Feng, Fengxiang
    Wang, Dingcheng
    [J]. PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON ECONOMICS AND MANAGEMENT, EDUCATION, HUMANITIES AND SOCIAL SCIENCES (EMEHSS 2017), 2017, 86 : 181 - 184
12345