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

D. E. Chickrin; A. N. Chuprunov; P. A. Kokunin

doi:10.1134/S1995080219050032

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

作者: Chickrin D.E.¹, Chuprunov A.N.², Kokunin P.A.¹
隶属关系:
1. Institute of Physics, Kazan (Volga Region) Federal University
2. N. I. Lobachevskii Institute of Mathematics and Mechanics
期: 卷 40, 编号 5 (2019)
页面: 614-623
栏目: Article
URL: https://bakhtiniada.ru/1995-0802/article/view/204400
DOI: https://doi.org/10.1134/S1995080219050032
ID: 204400

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详细

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.