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Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.14279/1142
DC FieldValueLanguage
dc.contributor.authorNicoleris, Theodoros-
dc.contributor.authorYatracos, Yannis G.-
dc.contributor.authorNicoleris, Theodoros-
dc.contributor.otherΓιατράκος, Γιάννης-
dc.date.accessioned2013-01-23T12:53:29Zen
dc.date.accessioned2013-05-16T08:22:17Z-
dc.date.accessioned2015-12-02T08:51:01Z-
dc.date.available2013-01-23T12:53:29Zen
dc.date.available2013-05-16T08:22:17Z-
dc.date.available2015-12-02T08:51:01Z-
dc.date.issued1997-12-
dc.identifier.citationAnnals of Statistics, 1997, vol. 25, no. 6, pp. 2493-2511en_US
dc.identifier.issn905364-
dc.identifier.urihttps://hdl.handle.net/20.500.14279/1142-
dc.description.abstractL1-optimal minimum distance estimators are provided for a projection pursuit regression type function with smooth functional components that are either additive or multiplicative, in the presence of or without interactions. The obtained rates of convergence of the estimate to the true parameter depend on Kolmogorov's entropy of the assumed model and confirm Stone's heuristic dimensionality reduction principle. Rates of convergence are also obtained for the error in estimating the derivatives of a regression type function.en_US
dc.formatpdfen_US
dc.language.isoenen_US
dc.relation.ispartofAnnals of Statisticsen_US
dc.rights© Institute of Mathematical Statisticsen_US
dc.subjectConvergenceen_US
dc.subjectEstimationen_US
dc.titleRates of convergence of estimates, Kolmogorov's entropy and the dimensionality reduction principle in regressionen_US
dc.typeArticleen_US
dc.collaborationUniversité de Montréalen_US
dc.subject.categoryMathematicsen_US
dc.journalsOpen Accessen_US
dc.countryCanadaen_US
dc.subject.fieldNatural Sciencesen_US
dc.identifier.doi10.1214/aos/1030741082en_US
dc.dept.handle123456789/54en
dc.relation.issue6en_US
dc.relation.volume25en_US
cut.common.academicyear1997-1998en_US
dc.identifier.spage2493en_US
dc.identifier.epage2511en_US
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.grantfulltextopen-
item.cerifentitytypePublications-
item.fulltextWith Fulltext-
item.languageiso639-1en-
item.openairetypearticle-
crisitem.author.deptDepartment of Communication and Internet Studies-
crisitem.author.facultyFaculty of Communication and Media Studies-
crisitem.author.parentorgFaculty of Communication and Media Studies-
crisitem.journal.journalissn2168-8966-
crisitem.journal.publisherInstitute of Mathematical Statistics-
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