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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     author = {R. R. Gil'manshin and A. M. Zubkov and N. A. Kolokol'nikova},
     title = {Bounds for extremal values of the mean number of cells containing a~given number of particles},
     journal = {Diskretnaya Matematika},
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     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2007_19_1_a2/}
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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/