On maximal quantity of particles of one color in analogs of multicolor urn schemes

dc.contributor.author	Chuprunov A.
dc.contributor.author	Alsaied G.
dc.contributor.author	Alkhuzani M.
dc.date.accessioned	2018-09-19T20:56:08Z
dc.date.available	2018-09-19T20:56:08Z
dc.date.issued	2017
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/143443
dc.description.abstract	© 2017, Allerton Press, Inc.We deal with analogs of multicolor urn schemes such that the number of particles is not more than a given number. We introduce conditions which provide the convergence of random variables which is the maximal number of taken particles of the same color to a random variable that has values zero and one. We prove this convergence in the case when a number of taken particles is not more than a fixed number and number of colors converges to infinity. We also consider the case when the number of taken particles converges to infinity.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	allocation of particles to cells
dc.subject	binomial random variable
dc.subject	limit theorem
dc.subject	Poisson random variable
dc.subject	urn scheme
dc.title	On maximal quantity of particles of one color in analogs of multicolor urn schemes
dc.type	Article
dc.relation.ispartofseries-issue	7
dc.relation.ispartofseries-volume	61
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	83
dc.source.id	SCOPUS1066369X-2017-61-7-SID85019640483

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.