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Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables. (English) Zbl 1283.60052
Summary: We study the strong law of large numbers for general weighted sums of asymptotically almost negatively associated (AANA) random variables with non-identical distribution. As an application, the Marcinkiewicz strong law of large numbers for AANA random variables is obtained. In addition, we present some sufficient conditions to prove the strong law of large numbers for weighted sums of AANA random variables. Our results generalize the corresponding ones (sufficient conditions) for independent random variables.

MSC:
60F15 Strong limit theorems
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