Geodesic
Combinatorial scheme of random placement of particles into cells of several types
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Geometry, and Combinatorics, Tome 214 (2022), pp. 44-52

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Based on the $A$-scheme of sequential trials, we examine two variants of random placement of particles in cells of $r$ types. In one of these variants, there exist marked cells of each type. We find an explicit distribution of the number of nonempty cells in one of the variants and a distribution of the number of nonempty marked cells in the other, obtain numerical characteristics of these distributions, and prove limit theorems.
Mots-clés : random placement, particle, cell
Keywords: scheme of sequential trials, success, failure, probability. 
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     author = {N. A. Kolokol'nikova and R. R. Gil'manshin},
     title = {Combinatorial scheme of random placement of particles into cells of several types},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {44--52},
     publisher = {mathdoc},
     volume = {214},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_214_a4/}
}
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N. A. Kolokol'nikova; R. R. Gil'manshin. Combinatorial scheme of random placement of particles into cells of several types. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Geometry, and Combinatorics, Tome 214 (2022), pp. 44-52. http://geodesic.mathdoc.fr/item/INTO_2022_214_a4/