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R. R. Gilmanshin, A. M. Zubkov, N. A. Kolokolnikova

Bounds for extremal values of the mean number of cells containing a given number of particles

We consider extremal values of the mathematical expectation of the number of cells containing exactly r particles in the set of polynomial schemes of allocating n particles to N cells. We describe the properties of the distributions which supply the extremal values and obtain two-sided bounds for the extremal values.

Discrete Mathematics and Applications, Walter de Gruyter

Print ISSN: 0924-9266
Volume: 17, 04/2007
Pages: 7 - 12

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