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On Limiting Behavior of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables

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成果类型:
期刊论文
作者:
黄海午;吴群英;张汉君;叶大相
作者机构:
[黄海午; 张汉君] School of Mathematics and Computational Science, Xiangtan University
[吴群英; 叶大相] College of Science, Guilin University of Technology
语种:
中文
关键词:
行为φ混合随机变量阵列;完全收敛性;强大数定律;加权和
关键词(英文):
Arrays of rowwise φ-mixing random variables;complete convergence;strong law of large numbers;weighted sums
期刊:
应用概率统计
ISSN:
1001-4268
年:
2015
卷:
31
期:
1
页码:
35-45
基金类别:
The project was supported by the National Nature Science Foundation of China (71271042, 11361019), the Program to Sponsor Teams for Innovation in the Construction of Talent Highlands in Guangxi Institutions of Higher Learning ((2011)47), the Fundamental Research Funds for the Central Universities of China (ZYGX2012J119), the Guangxi Provincial Natural Science Foundation of China (2014GXNSFBA118006, 2013GXNSFDA019001), the Scientific Research Fund of Guangxi Provincial Education Department (2013YB104, YB2014150) and the Science Foundation of Hengyang Normal University (14B30).
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
在本文中,令{Xni,i≥1,n≥1}为一列行为(φ)混合随机变量阵列.本文研究了行为(φ)混合随机变量阵列加权和的极限行为,并且一些新的完全收敛性结果被取得,这些结果推广和改进了相应的已有定理.
摘要(英文):
In this paper, let {Xni, i ≥ 1, n ≥ 1} be an array of rowwise ~φ-mixing random variables. The limiting behavior of weighted sums for arrays of rowwise ~φ-mixing random variables is studied and some new complete convergence results are obtained, which generalize and improve t...

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