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Inequalities and strong laws of large numbers for random allocations. (English) Zbl 1120.60300

Summary: Moment inequalities and strong laws of large numbers are proved for random allocations of balls into boxes. Random broken lines and random step lines are constructed using partial sums of i.i.d. random variables that are modified by random allocations. Functional limit theorems for such random processes are obtained.

MSC:

60C05 Combinatorial probability
60F05 Central limit and other weak theorems
60F17 Functional limit theorems; invariance principles
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