Geodesic
Waiting time in a~scheme of allocating particles to cells
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Branching processes, random walks, and related problems, Tome 282 (2013), pp. 80-86

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A modification of a scheme of allocating a random number of particles to cells is considered in which particles are allocated according to some multinomial scheme “in groups” with a random number of particles in each. The asymptotic properties of the distribution of the number of trials (allocated “groups” of particles) needed to fill a given number of cells are investigated. 
@article{TM_2013_282_a6,
     author = {V. P. Chistyakov},
     title = {Waiting time in a~scheme of allocating particles to cells},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {80--86},
     publisher = {mathdoc},
     volume = {282},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2013_282_a6/}
}
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V. P. Chistyakov. Waiting time in a~scheme of allocating particles to cells. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Branching processes, random walks, and related problems, Tome 282 (2013), pp. 80-86. http://geodesic.mathdoc.fr/item/TM_2013_282_a6/