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On complete convergence for arrays of rowwise weakly dependent random variables. (English) Zbl 1251.60025

Summary: Some sufficient conditions for complete convergence for arrays of rowwise \(\tilde \rho\)-mixing random variables are presented without the assumption of identical distributions. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of \(\tilde \rho\)-mixing random variables is obtained.

MSC:

60F15 Strong limit theorems
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