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Strong limit theorems for weighted sums of negatively associated random variables. (English) Zbl 1162.60008
The point of departure is an array of weighted sums of i.i.d. random variables \(S_{k_n}=\sum^{k_n}_{j=1}a_{nj}X_j\), \(n\geq 1\). In the introduction several results on strong laws and Hsu-Robbins-Spitzer-Baum-Katz type convergence rate results are reviewed. The aim of the paper is to prove extensions to weighted sums of negatively associated random variables, subject to various boundedness conditions on the weights. Applications to summation methods are also presented.

MSC:
60F15 Strong limit theorems
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