COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE FOR WEIGHTED SUMS OF m-EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

被引：0
|
作者：
Huang, Xiang [1 ]
Wu, Yongfeng [2 ]
机构：
[1] Anhui Univ Chinese Med Hefei, Coll Med Informat Engn, Hefei 230012, Peoples R China
[2] Tongling Univ, Dept Math & Comp Sci, Tongling 244000, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 02期
关键词：
m-extended negatively dependent; weighted sums; complete convergence; complete moment convergence; PRECISE LARGE DEVIATIONS;
D O I：
10.7153/jmi-2023-17-46
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The authors study the complete convergence and complete moment convergence for weighted sums of m-extended negatively dependent (m-END) random variables. The results obtained in this paper extend and improve the corresponding results of Wu, Zhai and Peng [Y. F. Wu, M. Q. Zhai and J. Y. Peng, On the complete convergence for weighted sums of extended negatively dependent random variables, Journal of Mathematical Inequalities, 13 (1) (2019), 251-260] and Zarei and Jabbari [H. Zarei and H. Jabbari, Complete convergence of weighted sums under negative dependence, Statistical Papers, 52 (2011), 413-418].
引用
收藏
页码：707 / 719
页数：13
相关论文
共 50 条
  • [41] A note on the complete convergence for weighted sums of negatively dependent random variables
    Soo Hak Sung
    Journal of Inequalities and Applications, 2012
  • [42] 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
  • [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] COMPLETE MOMENT CONVERGENCE FOR WEIGHTED SUMS OF m-ASYMPTOTIC NEGATIVELY ASSOCIATED RANDOM VARIABLES
    Deng, Xin
    Zhou, Fenbing
    Wu, Yi
    Wang, Xuejun
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (04): : 1545 - 1560
  • [47] 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
  • [48] 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
  • [49] 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
  • [50] 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
12345