The Zipf law for random texts with unequal letter probabilities and the pascal pyramid

dc.contributor.author	Bochkarev V.
dc.contributor.author	Lerner E.
dc.date.accessioned	2018-09-18T20:16:57Z
dc.date.available	2018-09-18T20:16:57Z
dc.date.issued	2012
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/138266
dc.description.abstract	We study a model of generating words with independent unequal probabilities of letters. We prove that the probability p(r) of words of rank r has a power asymptotics. As distinct from a paper published earlier by B. Conrad andM.Mitzenmacher, we give a short proof, using elementary methods, and obtain an explicit formula for the degree of the power law. © Allerton Press, Inc., 2012.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	Functional equations
dc.subject	Monkey model
dc.subject	Order statistics
dc.subject	Pascal pyramid
dc.subject	Power laws
dc.subject	Recursive sequences
dc.subject	Zipf law
dc.title	The Zipf law for random texts with unequal letter probabilities and the pascal pyramid
dc.type	Article
dc.relation.ispartofseries-issue	12
dc.relation.ispartofseries-volume	56
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	25
dc.source.id	SCOPUS1066369X-2012-56-12-SID84872231441

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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.