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The strong law of large numbers and the law of the iterated logarithm for product sums of NA and AANA random variables. (English) Zbl 1061.60031

Let \((X_n,\,n\geq 1)\) be a sequence of negatively associated random variables. The authors investigate the strong law of large numbers and the law of the iterated logarithm for sums \(\sum_{1\leq i_1<\cdots< i_m\leq n}\;\prod^m_{j=1} X_{i_j}\) for any \(m\geq 1\).

MSC:

60F15 Strong limit theorems
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