Poisson Limit Theorems in an Allocation Scheme with an Even Number of Particles in Each Cell

dc.contributor.author	Abdushukurov F.A.
dc.contributor.author	Chuprunov A.N.
dc.date.accessioned	2021-02-25T20:51:41Z
dc.date.available	2021-02-25T20:51:41Z
dc.date.issued	2020
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/162536
dc.description.abstract	© 2020, Pleiades Publishing, Ltd. Abstract: We consider an allocation scheme of 2n distinguishable particles by $$N$$ different cells under the condition than each cell contains an even number of particles. We show that this scheme is a general allocation scheme defined by the random variable ξi with the distribution (Formula Presented.). Let μ2r(N,K,n) be a number of cells from the first K cells that contain 2r particles. We prove that under some types of convergence of n,K,N to infinity μ2r(N,K,n) converges in distribution to the Poisson random variable. The limit Poisson random variable is described.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	allocation scheme
dc.subject	Berry–Essen type inequality
dc.subject	Gaussian random variable
dc.subject	limit theorem
dc.subject	local limit theorem
dc.subject	Poisson limit theorem
dc.subject	Poisson random variable
dc.title	Poisson Limit Theorems in an Allocation Scheme with an Even Number of Particles in Each Cell
dc.type	Article
dc.relation.ispartofseries-issue	3
dc.relation.ispartofseries-volume	41
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	289
dc.source.id	SCOPUS19950802-2020-41-3-SID85088123502

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