| Convergence Properties for Arrays of Rowwise $\varphi$-Mixing Random Variables |
| Received:August 26, 2013 Revised:February 24, 2014 |
| Key Words:
$\varphi$-mixing random variables arrays of rowwise $\varphi$-mixing random variables strong law of large numbers.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11171001;11301004;11326172), the Natural Science Foundation of Anhui Province (Grant No.1408085QA02), Talents Youth Fund of Anhui Province Universities (Grant No.2012SQRL204), the Students Science Research Training Program of Anhui University (Grant Nos.KYXL2014013; KYXL2014016) and Doctoral Research Start-up Funds Projects of Anhui University. |
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| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.05.011 |
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