Complete Convergence and Complete Moment Convergence for Maximal Weighted Sums of Extended Negatively Dependent Random Variables

被引:2
|
作者
Ji Gao YAN [1 ,2 ]
机构
[1] School of Mathematical Sciences,Soochow University
[2] CASE-Center for Applied Statistics and Economics,Humboldt-Universitt zu
关键词
D O I
暂无
中图分类号
O211.5 [随机变量];
学科分类号
摘要
In this paper,the complete convergence and complete moment convergence for maximal weighted sums of extended negatively dependent random variables are investigated.Some sufficient conditions for the convergence are provided.In addition,the Marcinkiewicz–Zygmund type strong law of large numbers for weighted sums of extended negatively dependent random variables is obtained.The results obtained in the article extend the corresponding ones for independent random variables and some dependent random variables.
引用
收藏
页码:1501 / 1516
页数:16
相关论文
共 50 条
  • [41] Complete Convergence for Weighted Sums of Negatively Superadditive Dependent Random Variables
    Zhou, Yu
    Xia, Fengxi
    Chen, Yan
    Wang, Xuejun
    JOURNAL OF MATHEMATICAL STUDY, 2014, 47 (03): : 287 - 294
  • [42] Complete convergence and complete moment convergence for maximal randomly weighted sums of widely orthant-dependent random variables with applications
    Lu, Dawei
    Wang, Jialu
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (04) : 763 - 791
  • [43] 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,
  • [44] ON THE COMPLETE MOMENT CONVERGENCE FOR WEIGHTED SUMS OF WEAKLY DEPENDENT RANDOM VARIABLES
    Wu, Yongfeng
    Wang, Ying
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (01): : 277 - 291
  • [45] Complete moment convergence of weighted sums for arrays of negatively dependent random variables and its applications
    Wu, Yongfeng
    Volodin, Andrei
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (11) : 3185 - 3195
  • [46] On Complete and Complete Moment Convergence for Weighted Sums of Widely Orthant Dependent Random Variables
    Wu, Caoqing
    Ning, Mingming
    Shen, Aiting
    FILOMAT, 2018, 32 (15) : 5347 - 5359
  • [47] Complete and Complete Moment Convergence for Weighted Sums of Widely Orthant Dependent Random Variables
    De Hua QIU
    Ping Yan CHEN
    ActaMathematicaSinica(EnglishSeries), 2014, 30 (09) : 1539 - 1548
  • [48] Complete and Complete Moment Convergence for Weighted Sums of Widely Orthant Dependent Random Variables
    Qiu, De Hua
    Chen, Ping Yan
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (09) : 1539 - 1548
  • [49] Complete and complete moment convergence for weighted sums of widely orthant dependent random variables
    De Hua Qiu
    Ping Yan Chen
    Acta Mathematica Sinica, English Series, 2014, 30 : 1539 - 1548
  • [50] Equivalent Conditions of Complete Convergence for Weighted Sums of Sequences of Extended Negatively Dependent Random Variables
    LIU CUN-CHAO
    GUO MING-LE
    ZHU DONG-JIN
    Wang De-hui
    Communications in Mathematical Research, 2015, 31 (01) : 40 - 50