Inequalities and strong laws of large numbers for random allocations

Alexey Chuprunov; István Fazekas

doi:10.1007/s10474-005-0240-9

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Acta Mathematica Hungarica

Volume/Issue:: Volume 109: Issue 1-2

Inequalities and strong laws of large numbers for random allocations

Authors: Alexey Chuprunov¹ and István Fazekas²

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¹ Institute of Economics, Management and Laws Zatzeva 17, Kazan, Russia Zatzeva 17, Kazan, Russia
² Institute of Informatics, University of Debrecen P.O. Box 12, 4010 Debrecen, Hungary P.O. Box 12, 4010 Debrecen, Hungary

DOI:: https://doi.org/10.1007/s10474-005-0240-9

Page Count:: 163–182

Publication Date:: 04 Sep 2005

Online Publication Date:: 04 Nov 2005

Article Category:: Research Article

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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.