Complete convergence and complete moment convergence for negatively associated sequences of random variables

被引：15
|
作者：
Wu, Qunying [1 ]
Jiang, Yuanying [1 ]
机构：
[1] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年
基金：
中国国家自然科学基金;
关键词：
negatively associated random variables; complete convergence; complete moment convergence; THEOREM;
D O I：
10.1186/s13660-016-1107-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the complete convergence and complete moment convergence for negatively associated sequences of random variables with , , . As a result, we extend some complete convergence and complete moment convergence theorems for independent random variables to the case of negatively associated random variables without necessarily imposing any extra conditions. Our results generalize corresponding results obtained by Gut and Stadtmuller (Stat. Probab. Lett. 81:1486-1492, 2011) and Qiu and Chen (Stat. Probab. Lett. 91:76-82, 2014).
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Complete convergence and complete moment convergence for negatively associated sequences of random variables
    Qunying Wu
    Yuanying Jiang
    Journal of Inequalities and Applications, 2016
  • [2] Complete and complete moment convergence for negatively associated random variables under exponential moment conditions
    Du, Qian
    Ma, Huanhuan
    Miao, Yu
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024,
  • [3] Complete Convergence and Complete Moment Convergence for Extended Negatively Dependent Random Variables
    Shen, Aiting
    Zhang, Yu
    Wang, Wenjuan
    FILOMAT, 2017, 31 (05) : 1381 - 1394
  • [4] Complete convergence and complete moment convergence for a class of random variables
    Wang, Xinghui
    Hu, Shuhe
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [5] Complete Convergence and Complete Moment Convergence for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables
    Huang, Haiwu
    Zhang, Qingxia
    Zoua, Hang
    Wu, Xiongtao
    FILOMAT, 2019, 33 (01) : 81 - 92
  • [6] Complete moment convergence and Lr convergence for asymptotically almost negatively associated random variables
    Xi, Mengmei
    Tang, Xufei
    Lin, Junjie
    Wang, Ming
    Wang, Xuejun
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (20) : 10373 - 10386
  • [7] On complete moment convergence for nonstationary negatively associated random variables
    Mi-Hwa Ko
    Journal of Inequalities and Applications, 2016
  • [8] On complete moment convergence for nonstationary negatively associated random variables
    Ko, Mi-Hwa
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [9] 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
  • [10] Complete convergence and complete moment convergence for arrays of rowwise negatively superadditive dependent random variables
    Meng, Bing
    Wang, Dingcheng
    Wu, Qunying
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (16) : 3910 - 3922
12345