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Inequalities and strong laws of large numbers for random allocations

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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.

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Authors and Affiliations

  1. Institute of Economics, Management and Laws, Zatzeva 17, Kazan, Russia

    Alexey Chuprunov

  2. Institute of Informatics, University of Debrecen, P.O. Box 12, 4010 Debrecen, Hungary

    István Fazekas

Authors
  1. Alexey Chuprunov
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  2. István Fazekas
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Chuprunov, A., Fazekas, I. Inequalities and strong laws of large numbers for random allocations. Acta Math Hung 109, 163–182 (2005). https://doi.org/10.1007/s10474-005-0240-9

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

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