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Poisson Limit Theorems for Number of Given Value Cells in Non-Homogeneous Generalized Allocation Scheme


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Resumo

In some non-homogeneous generalized allocation schemes we formulate conditions under which the number of given value cells from the first K cells converges to a Poisson random variable. The method of the proofs is founded on some analog of Kolchin formula. As corollary we obtain a Poisson limit theorems for the number of given value cells from the first K cells in non-homogeneous allocation scheme of distinguishing particles by different cells.

Sobre autores

D. Chickrin

Institute of Physics, Kazan (Volga Region) Federal University

Autor responsável pela correspondência
Email: dmitry.kfu@gmail.com
Rússia, Kazan, Tatarstan, 420008

A. Chuprunov

N. I. Lobachevskii Institute of Mathematics and Mechanics

Autor responsável pela correspondência
Email: achuprunov@mail.ru
Rússia, Kazan, Tatarstan, 420008

P. Kokunin

Institute of Physics, Kazan (Volga Region) Federal University

Autor responsável pela correspondência
Email: pkokunin@mail.ru
Rússia, Kazan, Tatarstan, 420008

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