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Convergence properties for asymptotically almost negatively associated sequence. (English) Zbl 1207.60025
Summary: We get the strong law of large numbers, strong growth rate, and the integrability of the supremum for partial sums of an asymptotically almost negatively associated sequence. In addition, the complete convergence for weighted sums of asymptotically almost negatively associated sequences is also studied.

MSC:
60F15 Strong limit theorems
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[1] DOI: 10.1214/aos/1176346079 · Zbl 0508.62041
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