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.
@article{DM_2007_19_1_a2,
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},
pages = {11--16},
year = {2007},
volume = {19},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2007_19_1_a2/}
}
TY - JOUR AU - R. R. Gil'manshin AU - A. M. Zubkov AU - N. A. Kolokol'nikova TI - Bounds for extremal values of the mean number of cells containing a given number of particles JO - Diskretnaya Matematika PY - 2007 SP - 11 EP - 16 VL - 19 IS - 1 UR - http://geodesic.mathdoc.fr/item/DM_2007_19_1_a2/ LA - ru ID - DM_2007_19_1_a2 ER -
%0 Journal Article %A R. R. Gil'manshin %A A. M. Zubkov %A N. A. Kolokol'nikova %T Bounds for extremal values of the mean number of cells containing a given number of particles %J Diskretnaya Matematika %D 2007 %P 11-16 %V 19 %N 1 %U http://geodesic.mathdoc.fr/item/DM_2007_19_1_a2/ %G ru %F DM_2007_19_1_a2
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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