Email this article Poisson Limit Theorems for Number of Given Value Cells in Non-Homogeneous Generalized Allocation Scheme
- Authors: Chickrin D.E.1, Chuprunov A.N.2, Kokunin P.A.1
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Affiliations:
- Institute of Physics, Kazan (Volga Region) Federal University
- N. I. Lobachevskii Institute of Mathematics and Mechanics
- Issue: Vol 40, No 5 (2019)
- Pages: 614-623
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204400
- DOI: https://doi.org/10.1134/S1995080219050032
- ID: 204400
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Abstract
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.
About the authors
D. E. Chickrin
Institute of Physics, Kazan (Volga Region) Federal University
Author for correspondence.
Email: dmitry.kfu@gmail.com
Russian Federation, Kazan, Tatarstan, 420008
A. N. Chuprunov
N. I. Lobachevskii Institute of Mathematics and Mechanics
Author for correspondence.
Email: achuprunov@mail.ru
Russian Federation, Kazan, Tatarstan, 420008
P. A. Kokunin
Institute of Physics, Kazan (Volga Region) Federal University
Author for correspondence.
Email: pkokunin@mail.ru
Russian Federation, Kazan, Tatarstan, 420008
