ON THE CONDITIONAL-EXPECTATION AND CONVERGENCE PROPERTIES OF RANDOM SETS

PAPAGEORGIOU, NS

dc.contributor.author	PAPAGEORGIOU, NS	en
dc.date.accessioned	2014-03-01T01:44:02Z
dc.date.available	2014-03-01T01:44:02Z
dc.date.issued	1995	en
dc.identifier.issn	0002-9947	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24262
dc.subject	SET-VALUED CONDITIONAL EXPECTATION	en
dc.subject	SET-VALUED AMARTS AND UNIFORM AMARTS	en
dc.subject	WEAK CONVERGENCE	en
dc.subject	KURATOWSKI-MOSCO CONVERGENCE	en
dc.subject	HAUSDORFF METRIC	en
dc.subject	OPTIONAL SAMPLING	en
dc.subject.classification	Mathematics	en
dc.subject.other	ASYMPTOTIC MARTINGALES	en
dc.subject.other	MEASURABLE MULTIFUNCTIONS	en
dc.subject.other	SURE CONVERGENCE	en
dc.subject.other	UNIFORM AMARTS	en
dc.subject.other	BANACH-SPACES	en
dc.title	ON THE CONDITIONAL-EXPECTATION AND CONVERGENCE PROPERTIES OF RANDOM SETS	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	In this paper we study random sets, with values in a separable Banach space. First we establish several useful properties of the set-valued conditional expectation and then prove some convergence theorems for set-valued amarts and uniform amarts, using the weak, Kuratowski-Mosco and Hausdorff modes of set convergence.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY	en
dc.identifier.isi	ISI:A1995RG28100008	en
dc.identifier.volume	347	en
dc.identifier.issue	7	en
dc.identifier.spage	2495	en
dc.identifier.epage	2515	en