Poisson Limit Theorems for Number of Given Value Cells in Non-Homogeneous Generalized Allocation Scheme
- Авторы: Chickrin D.1, Chuprunov A.2, Kokunin P.1
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Учреждения:
- Institute of Physics, Kazan (Volga Region) Federal University
- N. I. Lobachevskii Institute of Mathematics and Mechanics
- Выпуск: Том 40, № 5 (2019)
- Страницы: 614-623
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204400
- DOI: https://doi.org/10.1134/S1995080219050032
- ID: 204400
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Аннотация
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.
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Об авторах
D. Chickrin
Institute of Physics, Kazan (Volga Region) Federal University
Автор, ответственный за переписку.
Email: dmitry.kfu@gmail.com
Россия, Kazan, Tatarstan, 420008
A. Chuprunov
N. I. Lobachevskii Institute of Mathematics and Mechanics
Автор, ответственный за переписку.
Email: achuprunov@mail.ru
Россия, Kazan, Tatarstan, 420008
P. Kokunin
Institute of Physics, Kazan (Volga Region) Federal University
Автор, ответственный за переписку.
Email: pkokunin@mail.ru
Россия, Kazan, Tatarstan, 420008