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Complete convergence and complete moment convergence for arrays of rowwise ANA random variables

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成果类型:
期刊论文
作者:
Huang, Haiwu*;Peng, Jiangyan;Wu, Xiongtao;Wang, Bin
通讯作者:
Huang, Haiwu
作者机构:
[Wu, Xiongtao; Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.
[Huang, Haiwu; Wang, Bin] Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China.
[Peng, Jiangyan] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China.
通讯机构:
[Huang, Haiwu] H
[Huang, Haiwu] G
Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.
Guilin Univ Technol, Coll Sci, Guilin 541004, Peoples R China.
语种:
英文
关键词:
arrays of rowwise ANA random variables;complete convergence;complete moment convergence;weighted sums
期刊:
JOURNAL OF INEQUALITIES AND APPLICATIONS
ISSN:
1025-5834
年:
2016
卷:
2016
期:
1
页码:
1-13
基金类别:
The authors are most grateful to the Editor prof. A Volodin and the anonymous referees for carefully reading the paper and for offering valuable suggestions, which greatly improved this paper. This paper is supported by the National Nature Science Foundation of China (11526085, 71501025, 11401127), the Humanities and Social Sciences Foundation for the Youth Scholars of Ministry of Education of China (15YJCZH066), the Guangxi Provincial Natural Science Foundation of China (2014GXNSFBA118006, 2014GXNSFCA118015), the Scientific Research Fund of Guangxi Provincial Education Department (2013YB104), the Construct Program of the Key Discipline in Hunan Province (No. [2011]76), and the Science Foundation of Hengyang Normal University (14B30).
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables. The results obtained not only generalize the corresponding ones of Sung (Stat. Pap. 52:447-454, 2011), Zhou et al. (J. Inequal. Appl. 2011:157816, 2011), and Sung (Stat. Pap. 54:773-781, 2013) to the case of ANA random varia...

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