On the Brunk-Chung type strong law of large numbers for sequences of blockwise -dependent random variables
Le Van Thanh (2006)
ESAIM: Probability and Statistics
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For a sequence of blockwise -dependent random variables {≥ 1}, conditions are provided under which almost surely where {≥ 1} is a sequence of positive constants. The results are new even when . As special case, the Brunk-Chung strong law of large numbers is obtained for sequences of independent random variables. The current work also extends results of Móricz [ (1987) 709–715], and Gaposhkin [. (1994) 804–812]. The sharpness of the results is illustrated by examples. ...