On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables

被引：12
|
作者：
Chen, Pingyan [1 ]
Ma, Xiaofang [2 ]
Sung, Soo Hak [3 ]
机构：
[1] Jinan Univ, Dept Math, Guangzhou 510630, Guangdong, Peoples R China
[2] Jinan Univ, Dept Stat, Guangzhou 510630, Guangdong, Peoples R China
[3] Pai Chai Univ, Dept Appl Math, Taejon 302735, South Korea
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
基金：
中国国家自然科学基金; 新加坡国家研究基金会;
关键词：
SUMMABILITY METHODS; SURE CONVERGENCE; LIMIT-THEOREMS; RATES;
D O I：
10.1155/2014/251435
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We improve and generalize the result of Stout (1974, Theorem 4.1.3). In particular, the sharp moment conditions are obtained and some well-known results can be obtained as special cases of the main result. The method of the proof is completely different from that in Stout. We also improve and generalize Li et al. (1995) strong law for weighted sums of i.i.d. random variables.
引用
收藏
页数：7
相关论文
共 50 条
  • [1] Complete convergence for weighted sums of i.i.d. random variables with applications in regression estimation and EV model
    Chen, Pingyan
    Kong, Ningning
    Sung, Soo Hak
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (07) : 3599 - 3613
  • [2] Complete moment convergence for i.i.d. random variables
    Qiu, Dehua
    Chen, Pingyan
    STATISTICS & PROBABILITY LETTERS, 2014, 91 : 76 - 82
  • [3] On the complete convergence for weighted sums of a class of random variables
    Zhao, Jinghuan
    Sun, Yan
    Miao, Yu
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [4] Complete convergence for the weighted sums of random variables
    Miao, Yu
    Li, Zhen
    FILOMAT, 2025, 39 (04) : 1355 - 1372
  • [5] Precise asymptotics for complete moment convergence of U-statistics of i.i.d. random variables
    Zang, Qing-pei
    APPLIED MATHEMATICS LETTERS, 2012, 25 (02) : 120 - 127
  • [6] On the strong convergence of weighted sums of widely dependent random variables
    Cheng, Dongya
    Zhang, Wenhai
    Wang, Yuebao
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (21) : 6447 - 6460
  • [7] On the strong convergence for weighted sums of ρ *-mixing random variables
    Sung, Soo Hak
    STATISTICAL PAPERS, 2013, 54 (03) : 773 - 781
  • [8] Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables
    Sung, Soo Hak
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
  • [9] On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables
    Shen, Aiting
    Wang, Xinghui
    Zhu, Huayan
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [10] Complete Convergence for Weighted Sums of a Class of Random Variables
    Deng, Xin
    Ge, Meimei
    Wang, Xuejun
    Liu, Yanfang
    Zhou, Yu
    FILOMAT, 2014, 28 (03) : 509 - 522
12345