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Some strong limit theorems for \(\tilde \rho\)-mixing sequences of random variables. (English) Zbl 1148.60020
The authors extend classical strong limit theorems to the case of \(\tilde\rho\)-mixing random variables – a notion for weak dependence – without imposing any extra conditions. Essentially the strong limit theorems are the strong laws of large numbers of Kolmogorov and Marczinkiewicz, the three series theorem, and consequences of these are presented as corollaries.

MSC:
60F15 Strong limit theorems
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