On Complete Moment Convergence for Randomly Weighted Sums of NSD Random Variables

被引：0
作者：
Sun, Xiang [1 ]
Liu, Zhao-yang [1 ]
Shen, Yan [1 ]
Zhang, Ke-chao [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230031, Anhui, Peoples R China
来源：
JOURNAL OF MATHEMATICAL STUDY | 2019年 / 52卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Complete moment convergence; randomly weighted; negatively superadditive dependent random variables; QUADRATIC-FORMS; INEQUALITIES; ARRAYS;
D O I：
10.4208/jms.v52n1.19.03
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the complete moment convergence and complete convergence for randomly weighted sums of negatively superadditive dependent (NSD, in short) random variables. The results obtained in the paper generalize the convergence theorem for constant weighted sums to randomly weighted sums of dependent random variables. In addition, strong law of large numbers for NSD sequence is obtained.
引用
收藏
页码：30 / 37
页数：8
相关论文
共 50 条
  • [21] 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
  • [22] ON THE COMPLETE MOMENT CONVERGENCE OF WEIGHTED SUMS OF ρ*-MIXING RANDOM VARIABLES
    Ge, Meimei
    Lv, Wenhua
    Wu, Yongfeng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (01): : 177 - 185
  • [23] 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
  • [24] Complete f-moment convergence for randomly weighted sums of extended negatively dependent random variables
    Ge, Meimei
    Wu, Yongfeng
    Deng, Xin
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (20) : 7384 - 7404
  • [25] 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,
  • [26] Complete moment convergence for weighted sums of extended negatively dependent random variables
    Yi, Yanchun
    Qiu, Dehua
    Chen, Pingyan
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (20) : 10189 - 10202
  • [27] Complete Moment Convergence for Weighted Sums of Extended Negatively Dependent Random Variables
    Ding, Yang
    Tang, Xufei
    Deng, Xin
    Wang, Xuejun
    FILOMAT, 2017, 31 (14) : 4341 - 4352
  • [28] Complete convergence for weighted sums of NSD random variables and its application in the EV regression model
    Wang, Xuejun
    Shen, Aiting
    Chen, Zhiyong
    Hu, Shuhe
    TEST, 2015, 24 (01) : 166 - 184
  • [29] COMPLETE MOMENT CONVERGENCE FOR WEIGHTED SUMS OF EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES
    Ge, Meimei
    Deng, Xin
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (01): : 159 - 175
  • [30] Complete moment convergence for arrays of rowwise NSD random variables
    Shen, Aiting
    Xue, Mingxiang
    Volodin, Andrei
    STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2016, 88 (04) : 606 - 621
12345