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Zbl 1061.60031
Wang, Yuebao; Yan, Jigao; Cheng, Fangyang; Su, Chue
The strong law of large numbers and the law of the iterated logarithm for product sums of NA and AANA random variables.
(English)
[J] Southeast Asian Bull. Math. 27, No. 2, 369-384 (2003). ISSN 0129-2021; ISSN 0219-175X/e

Let $(X_n,\,n\ge 1)$ 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 $\sum_{1\le i_1<\cdots< i_m\le n}\ \prod^m_{j=1} X_{i_j}$ for any $m\ge 1$.
[Valeriy Koval' (Shytomyr)]
MSC 2000:
*60F15 Strong limit theorems

Keywords: strong law of large numbers; law of the iterated logarithm; negatively dependent; product sums

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