Almost sure convergence and decomposition of multivalued random processes

Avgerinos, EP; Papageorgiou, NS

dc.contributor.author	Avgerinos, EP	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:14:22Z
dc.date.available	2014-03-01T01:14:22Z
dc.date.issued	1999	en
dc.identifier.issn	0035-7596	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13031
dc.subject	multi-valued conditional expectation	en
dc.subject	submartingales	en
dc.subject	uniform amarts	en
dc.subject	weak sequential amarts	en
dc.subject	amarts of finite order	en
dc.subject	Riesz decomposition	en
dc.subject	Mosco convergence	en
dc.subject	weak convergence	en
dc.subject	Wijsman convergence	en
dc.subject.classification	Mathematics	en
dc.subject.other	RANDOM SETS	en
dc.subject.other	MOSCO CONVERGENCE	en
dc.subject.other	BANACH-SPACES	en
dc.subject.other	MARTINGALES	en
dc.title	Almost sure convergence and decomposition of multivalued random processes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1216/rmjm/1181071642	en
heal.identifier.secondary	http://dx.doi.org/10.1216/rmjm/1181071642	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	This paper examines multi-valued random processes (random sets) with values in a separable Banach space. Several results on the almost sure convergence and decomposition properties of various classes of random processes are established. Special consideration is given to multi-valued submartingales, uniform amarts, weak sequential amarts and amarts of infinite order. In the process some results concerning sequences of vector-valued random variables are also proved.	en
heal.publisher	ROCKY MT MATH CONSORTIUM	en
heal.journalName	ROCKY MOUNTAIN JOURNAL OF MATHEMATICS	en
dc.identifier.doi	10.1216/rmjm/1181071642	en
dc.identifier.isi	ISI:000082038300003	en
dc.identifier.volume	29	en
dc.identifier.issue	2	en
dc.identifier.spage	401	en
dc.identifier.epage	435	en