On Complete and Complete Moment Convergence for Weighted Sums of Widely Orthant Dependent Random Variables

被引：2
|
作者：
Wu, Caoqing [1 ]
Ning, Mingming [1 ]
Shen, Aiting [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China
来源：
FILOMAT | 2018年 / 32卷 / 15期
基金：
中国国家自然科学基金;
关键词：
widely orthant dependent random variables; complete convergence; complete moment convergence; slowly varying function; PRECISE LARGE DEVIATIONS; ARRAYS;
D O I：
10.2298/FIL1815347W
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, the complete convergence for weighted sums of widely orthant dependent (WOD, in short) random variables without identical distribution is investigated. In addition, the complete moment convergence for weighted sums of WOD random variables is also obtained. The results obtained in the paper generalize some corresponding ones for some dependent random variables.
引用
收藏
页码：5347 / 5359
页数：13
相关论文
共 50 条
  • [21] Complete moment convergence for weighted sums of widely orthant-dependent random variables and its application in nonparametric regression models
    Cheng, Lu
    Lang, Junjun
    Shen, Yan
    Wang, Xuejun
    FRONTIERS OF MATHEMATICS IN CHINA, 2022, 17 (04) : 571 - 590
  • [22] Complete Moment Convergence for Arrays of Rowwise Widely Orthant Dependent Random Variables
    Yi WU
    Xue Jun WANG
    Andrew ROSALSKY
    Acta Mathematica Sinica,English Series, 2018, (10) : 1531 - 1548
  • [23] Complete Moment Convergence forWeighted Sums of Negatively Orthant Dependent Random Variables
    Wang, Xuejun
    Chen, Zhiyong
    Xiao, Ru
    Xie, Xiujuan
    FILOMAT, 2017, 31 (05) : 1195 - 1206
  • [24] Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables
    Meng, Bing
    Wang, Dingcheng
    Wu, Qunying
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (12) : 3847 - 3863
  • [25] 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
  • [26] On complete convergence for weighted sums of coordinatewise widely orthant dependent random vectors in Hilbert spaces
    Chang, Mengmeng
    Miao, Yu
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2025,
  • [27] 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
  • [28] 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
  • [29] On complete convergence and complete moment convergence for weighted sums of ρ*-mixing random variables
    Chen, Pingyan
    Sung, Soo Hak
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [30] Complete convergence for weighted sums of widely negative orthant dependent random variables under the sub-linear expectations
    Huang, Lizhen
    Wu, Qunying
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2025, 54 (01) : 230 - 241
12345