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

Wang, Yuebao; Yan, Jigao; Cheng, Fengyang; Su, Chue

Southeast Asian Bull. Math. 27, No. 2, 369-384 (2003).

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 \(m\geq 1\).

Reviewer: Valeriy Koval’ (Shytomyr)

MSC:

60F15

Strong limit theorems

Keywords:

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