Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14279/2100
DC FieldValueLanguage
dc.contributor.authorYatracos, Yannis G.-
dc.contributor.otherΓιατράκος, Γιάννης-
dc.date.accessioned2013-01-23T12:47:20Zen
dc.date.accessioned2013-05-16T08:22:15Z-
dc.date.accessioned2015-12-02T09:28:57Z-
dc.date.available2013-01-23T12:47:20Zen
dc.date.available2013-05-16T08:22:15Z-
dc.date.available2015-12-02T09:28:57Z-
dc.date.issued2004-06-
dc.identifier.citationAnnals of the Institute of Statistical Mathematics, 2004, vol. 56, no. 2, pp. 265-277en_US
dc.identifier.issn15729052-
dc.identifier.urihttps://hdl.handle.net/20.500.14279/2100-
dc.description.abstractStone's dimensionality reduction principle has been confirmed on several occasions for independent observations. When dependence is expressed with φ-mixing, a minimum distance estimate θ̂n is proposed for a smooth projection pursuit regression-type function θ ∈, that is either additive or multiplicative, in the presence of or without interactions. Upper bounds on the L1-risk and the L 1-error of θ̂n are obtained, under restrictions on the order of decay of the mixing coefficient. The bounds show explicitly the additive effect of φ-mixing on the error, and confirm the dimensionality reduction principle.en_US
dc.formatpdfen_US
dc.language.isoenen_US
dc.relation.ispartofAnnals of the Institute of Statistical Mathematicsen_US
dc.rights© The Institute of Statistical Mathematicsen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectMathematical modelsen_US
dc.subjectParameter estimationen_US
dc.subjectStatistical methodsen_US
dc.subjectProblem solvingen_US
dc.titleDependence and the dimensionality reduction principleen_US
dc.typeArticleen_US
dc.affiliationNational University of Singaporeen
dc.collaborationNational University of Singaporeen_US
dc.subject.categoryMedia and Communicationsen_US
dc.journalsHybrid Open Accessen_US
dc.countryCyprusen_US
dc.subject.fieldSocial Sciencesen_US
dc.publicationPeer Revieweden_US
dc.identifier.doi10.1007/BF02530545en_US
dc.dept.handle123456789/54en
dc.relation.issue2en_US
dc.relation.volume56en_US
cut.common.academicyear2004-2005en_US
dc.identifier.spage265en_US
dc.identifier.epage277en_US
item.cerifentitytypePublications-
item.openairetypearticle-
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
crisitem.journal.journalissn1572-9052-
crisitem.journal.publisherSpringer Nature-
crisitem.author.deptDepartment of Communication and Internet Studies-
crisitem.author.facultyFaculty of Communication and Media Studies-
crisitem.author.parentorgFaculty of Communication and Media Studies-
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