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$\varphi$ 混合随机变量阵列的完全收敛性
引用本文:李晓琴.$\varphi$ 混合随机变量阵列的完全收敛性[J].数学研究及应用,2014,34(5):608-618.
作者姓名:李晓琴
作者单位:安徽大学数学科学学院, 安徽 合肥 230039
基金项目:国家自然科学基金资助项目(Grant Nos\,11171001;11301004;11326172);安徽省自然科学基金资助项目(Grant No.\,1408085QA02);安徽省高校优秀青年人才基金资助项目(Grant No.\,2012SQRL204);安徽大学大学生科研训练计划资助项目(Grant Nos.\,KYXL2014013; KYXL2014016);安徽大学博士科研启动基金资助项目.
摘    要:Convergence properties for arrays of rowwise φ-mixing random variables are studied. As an application, the Chung-type strong law of large numbers for arrays of rowwise φ-mixing random variables is obtained. Our results extend the corresponding ones for independent random variables to the case of φ-mixing random variables.

关 键 词:独立随机变量  收敛性质  混合  数组  行为
收稿时间:2013/8/26 0:00:00
修稿时间:2014/2/24 0:00:00

Convergence Properties for Arrays of Rowwise $\varphi$-Mixing Random Variables
Xiaoqin LI.Convergence Properties for Arrays of Rowwise $\varphi$-Mixing Random Variables[J].Journal of Mathematical Research with Applications,2014,34(5):608-618.
Authors:Xiaoqin LI
Institution:School of Mathematical Science, Anhui University, Auhui 230039, P. R. China
Abstract:Convergence properties for arrays of rowwise $\varphi$-mixing random variables are studied. As an application, the Chung-type strong law of large numbers for arrays of rowwise $\varphi$-mixing random variables is obtained. Our results extend the corresponding ones for independent random variables to the case of $\varphi$-mixing random variables.
Keywords:$\varphi$-mixing random variables  arrays of rowwise $\varphi$-mixing random variables  strong law of large numbers  
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