A continuous analogue of the invariance principle and its almost sure version

dc.contributor.author	Permiakova E.
dc.date.accessioned	2018-09-18T20:31:02Z
dc.date.available	2018-09-18T20:31:02Z
dc.date.issued	2007
dc.identifier.issn	0033-3883
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/140690
dc.description.abstract	We deal with random processes obtained from a homogeneous random process with independent increments by replacement of the time scale and by multiplication by a norming constant. We prove the convergence in distribution of these processes to Wiener process in the Skorohod space endowed by the topology of uniform convergence. An integral type almost sure version of this limit theorem is obtained.
dc.relation.ispartofseries	Publicationes Mathematicae
dc.subject	Almost sure limit theorem
dc.subject	Functional limit theorem
dc.subject	Process with independent stationary increments
dc.title	A continuous analogue of the invariance principle and its almost sure version
dc.type	Article
dc.relation.ispartofseries-issue	1-2
dc.relation.ispartofseries-volume	70
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	203
dc.source.id	SCOPUS00333883-2007-70-12-SID33847768744

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