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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Journal of Applied Mathematics and Stochastic Analysis
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Journal of Inequalities and Applications [electronic only]
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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).
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International Journal of Mathematics and Mathematical Sciences
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Studia Mathematica
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