Strong laws of large numbers for arrays of rowwise -mixing random variables.
Zhu, Meng-Hu (2007)
Discrete Dynamics in Nature and Society
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Zhu, Meng-Hu (2007)
Discrete Dynamics in Nature and Society
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Dalibor Volný (1989)
Commentationes Mathematicae Universitatis Carolinae
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Sung, Soo Hak (2010)
Journal of Inequalities and Applications [electronic only]
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Taylor, R.L., Patterson, R.F., Bozorgnia, A. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Rio Emmanuel (1997)
ESAIM: Probability and Statistics
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Xinghui Wang, Xiaoqin Li, Shuhe Hu (2014)
Applications of Mathematics
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In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise -mixing random variables, and the Baum-Katz-type result for arrays of rowwise -mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of -mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012).