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Inequalities and strong laws of large numbers for random allocations |
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| Authors: | Alexey Chuprunov István Fazekas |
| Affiliation: | (1) Institute of Economics, Management and Laws, Zatzeva 17, Kazan, Russia;(2) Institute of Informatics, University of Debrecen, P.O. Box 12, 4010 Debrecen, Hungary |
| Abstract: | Summary Moment inqualities 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. |
| Keywords: | functional limit theorem random allocation moment inequality strong law of large numbers Borel-Cantelli lemma binomial coefficient |
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