Geodesic
Bounds for extremal values of the mean number of cells containing a~given number of particles
Diskretnaya Matematika, Tome 19 (2007) no. 1, pp. 11-16.

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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. 
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R. R. Gil'manshin; A. M. Zubkov; N. A. Kolokol'nikova. Bounds for extremal values of the mean number of cells containing a~given number of particles. Diskretnaya Matematika, Tome 19 (2007) no. 1, pp. 11-16. http://geodesic.mathdoc.fr/item/DM_2007_19_1_a2/

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[3] Kolokolnikova N. A., Gilmanshin R. R., “Ekstremalnye zadachi v teorii sluchainykh razmeschenii”, Trudy XII Baikalskoi mezhdunarodnoi konf. «Metody optimizatsii i ikh prilozheniya», t. 5, Irkutsk, 2001, 71–75

[4] Gilmanshin R. R., Kolokolnikova N. A., “Ob odnoi ekstremalnoi zadache v teorii sluchainykh razmeschenii”, Tez. dokl. konf. «Kolmogorov i sovremennaya matematika», Izd-vo MGU, Moskva, 2003, 627–628