An exponential inequality and strong limit theorems for conditional expectations

dc.contributor.author	Chuprunov A.
dc.contributor.author	Fazekas I.
dc.date.accessioned	2018-09-18T20:33:05Z
dc.date.available	2018-09-18T20:33:05Z
dc.date.issued	2010
dc.identifier.issn	0031-5303
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/141058
dc.description.abstract	An exponential inequality for the tail of the conditional expectation of sums of centered independent random variables is obtained. This inequality is applied to prove analogues of the Law of the Iterated Logarithm and the Strong Law of Large Numbers for conditional expectations. As corollaries we obtain certain strong theorems for the generalized allocation scheme and for the nonuniformly distributed allocation scheme. © 2010 Akadémiai Kiadó, Budapest, Hungary.
dc.relation.ispartofseries	Periodica Mathematica Hungarica
dc.subject	conditional expectation
dc.subject	exponential inequality
dc.subject	generalized allocation scheme
dc.subject	Khintchine's inequality
dc.subject	law of the iterated logarithm
dc.subject	moment
dc.subject	strong law of large numbers
dc.title	An exponential inequality and strong limit theorems for conditional expectations
dc.type	Article
dc.relation.ispartofseries-issue	1
dc.relation.ispartofseries-volume	61
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	103
dc.source.id	SCOPUS00315303-2010-61-1-SID77957351228

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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.