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Stochastics
An International Journal of Probability and Stochastic Processes
Volume 85, 2013 - Issue 2
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Original Articles

On complete convergence for strong mixing sequences

Xing-cai Zhou Department of Mathematics, Southeast University, Nanjing, 210096, China; Department of Mathematics and Computer Science, Tongling University, Tongling, Anhui, 244000, ChinaCorrespondence[email protected]
&
Jin-guan Lin Department of Mathematics, Southeast University, Nanjing, 210096, China
Pages 262-271 | Received 22 Oct 2010, Accepted 23 Nov 2011, Published online: 13 Feb 2012
 
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Abstract

In this paper, some results on complete convergence for strong mixing sequences are presented under some suitable conditions. A Marcinkiewicz–Zygmund-type strong law of large numbers is also obtained.

2000 Mathematics Subject Classification::

Acknowledgements

This work is partially supported by NSFC (No. 11171065), the Key Research Project of Natural Science Foundation of Anhui Provincial Universities (No. KJ2012A270), NSFJS (No. BK2011058), Youth Foundation for Humanities and Social Sciences Project from Ministry of Education of China (No. 11YJC790311) and Anhui Provincial College Excellent Young Talents Fund Project of China (No. 2011SQRL143).

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