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On moments of the supremum of normed partial sums of random variables indexed by \(N^ k\). (English) Zbl 0780.60045

The author considers results for moments of normed partial sums indexed by the positive integer \(d\)-dimensional lattice points in the case when the indices are of a special form.
Reviewer: A.Gut (Uppsala)

MSC:

60G50 Sums of independent random variables; random walks
60E15 Inequalities; stochastic orderings
60F25 \(L^p\)-limit theorems
60F15 Strong limit theorems
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