We consider a random variable that is a maximal value of a cell from the first K cells in the equidistributed allocation scheme of distinguishable particles. We prove the convergence of the distribution of this random variables to a two-point distribution.
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Proceedings of the XXXV International Seminar on Stability Problems for Stochastic Models, Debrecen, Hungary, August 25–29, 2017. Part I
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Chuprunov, A.N. On the Maximal Value of a Cell from a Pointed Set of Cells. J Math Sci 237, 631–638 (2019). https://doi.org/10.1007/s10958-019-04188-y
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DOI: https://doi.org/10.1007/s10958-019-04188-y