A Note on the Rate of Strong Convergence for Weighted Sums of Arrays of Rowwise Negatively Orthant Dependent Random Variables

被引：1
|
作者：
Zhang, Qingxia [1 ]
Wang, Dingcheng [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2014年 / 2014卷
关键词：
STRONG LAWS;
D O I：
10.1155/2014/368702
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let {X-ni; i >= 1, n >= 1} be an array of rowwise negatively orthant dependent (NOD) random variables. The authors discuss the rate of strong convergence for weighted sums of arrays of rowwise NOD random variables and solve an open problem posed by Huang and Wang (2012).
引用
收藏
页数：7
相关论文
共 44 条
  • [1] STRONG CONVERGENCE PROPERTIES FOR ARRAYS OF ROWWISE NEGATIVELY ORTHANT DEPENDENT RANDOM VARIABLES
    Shen, Aiting
    Zeng, Yu
    Volodin, Andrei
    MATHEMATICA SLOVACA, 2017, 67 (01) : 235 - 244
  • [2] On convergence rate for weighted sums of arrays of rowwise ANA random variables
    Yang, Rui
    Jing, Zhaojing
    Shen, Yan
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (04) : 986 - 994
  • [3] Complete moment convergence for weighted sums of negatively orthant dependent random variables
    Lv, Wenhua
    Wu, Yongfeng
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, (45): : 521 - 536
  • [4] On limiting behavior for arrays of rowwise negatively orthant dependent random variables
    Wu, Yongfeng
    Ordonez Cabrera, Manuel
    Volodin, Andrei
    JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2013, 42 (01) : 61 - 70
  • [5] Strong Convergence for Weighted Sums of Widely Orthant Dependent Random Variables and Applications
    Wu, Yi
    Wang, Xuejun
    Shen, Aiting
    METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2023, 25 (01)
  • [6] FURTHER STUDY ON COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE ASYMPTOTICALLY ALMOST NEGATIVELY ASSOCIATED RANDOM VARIABLES
    Huang, Haiwu
    Zhang, Hanjun
    Zhang, Qingxia
    Peng, Jiangyan
    KYBERNETIKA, 2015, 51 (06) : 960 - 972
  • [7] On the strong convergence for weighted sums of negatively associated random variables
    Chen, Pingyan
    Sung, Soo Hak
    STATISTICS & PROBABILITY LETTERS, 2014, 92 : 45 - 52
  • [8] Complete f-moment convergence for maximal randomly weighted sums of arrays of rowwise widely orthant dependent random variables and its statistical applications
    Wang, Miaomiao
    Zheng, Shunping
    Chen, Xi
    Wang, Xuejun
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 439
  • [9] A note on the strong limit theorem for weighted sums of sequences of negatively dependent random variables
    Huang, Haiwu
    Wang, Dingcheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [10] Complete convergence for weighted sums of arrays of rowwise independent B-valued random variables
    Sung, SH
    STOCHASTIC ANALYSIS AND APPLICATIONS, 1997, 15 (02) : 255 - 267
12345