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dc.contributor.authorKlein, Ingoen
dc.date.accessioned2010-12-07-
dc.date.accessioned2011-01-14T10:34:50Z-
dc.date.available2011-01-14T10:34:50Z-
dc.date.issued2010-
dc.identifier.urihttp://hdl.handle.net/10419/43702-
dc.language.isogeren
dc.publisher|aFriedrich-Alexander-Universität Erlangen-Nürnburg, Lehrstuhl für Statistik und Ökonometrie |cNürnbergen
dc.relation.ispartofseries|aDiskussionspapier |x86/2010en
dc.subject.ddc330en
dc.subject.keywordcopulaen
dc.subject.keywordgeneralized linear meansen
dc.subject.keywordSpearman's ρen
dc.subject.keywordtail dependenceen
dc.subject.stwKopulaen
dc.subject.stwTheorieen
dc.titleUnter verallgemeinerter Mittelwertbildung abgeschlossene Familien von Copulas-
dc.type|aWorking Paperen
dc.identifier.ppn641163290en
dc.description.abstracttransWe will identify sufficient and partly necessary conditions for a family of copulas to be closed under the construction of generalized linear mean values. These families of copulas generalize results well-known from the literature for the Farlie-Gumbel-Morgenstern (FGM), the Ali-Mikhai-Haq (AMH) and the Barnett-Gumbel (BG) families of copulas closed under weighted linear, harmonic and geometric mean. For these generalizations we calculate the range of Spearman's ρ depending on the choice of weights α, the copulas generating function φ and the exponent γ determining what kind of mean value will be considered. It seems that FGM and AMH generating function φ(υ) = 1 - υ maximizes the range of Spearman's ρ. Furthermore, it will be shown that the considered families of copulas closed under the construction of generalized linear means have no tail dependence in the sense of Ledford & Tawn.en
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungenen
dc.identifier.repecRePEc:zbw:faucse:862010en

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