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Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) >
Institut für Wirtschaftspolitik und Quantitative Wirtschaftsforschung (IWQW), Universität Erlangen-Nürnberg >
IWQW Discussion Paper Series, FAU Erlangen-Nürnberg >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10419/44400
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Full metadata record
| DC Field | | Value | | Language |
| dc.contributor.author | | Klein, Ingo | | en_US |
| dc.contributor.author | | Christa, Florian | | en_US |
| dc.date.accessioned | | 2011-02-10 | | en_US |
| dc.date.accessioned | | 2011-03-03T09:09:53Z | | - |
| dc.date.available | | 2011-03-03T09:09:53Z | | - |
| dc.date.issued | | 2011 | | en_US |
| dc.identifier.uri | | http://hdl.handle.net/10419/44400 | | - |
| dc.description.abstract | | We 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 generation 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_US |
| dc.language.iso | | eng | | en_US |
| dc.publisher | | Univ., Inst. für Wirtschaftspolitik und Quantitative Wirtschaftsforschung Erlangen | | en_US |
| dc.relation.ispartofseries | | IWQW discussion paper series 04/2011 | | en_US |
| dc.subject.jel | | F22 | | en_US |
| dc.subject.jel | | J31 | | en_US |
| dc.subject.jel | | J61 | | en_US |
| dc.subject.ddc | | 330 | | en_US |
| dc.subject.keyword | | copula | | en_US |
| dc.subject.keyword | | generalized linear means | | en_US |
| dc.subject.keyword | | Spearman's ρ | | en_US |
| dc.subject.keyword | | tail dependence | | en_US |
| dc.title | | Families of copulas closed under the construction of generalized linear means | | en_US |
| dc.type | | Working Paper | | en_US |
| dc.identifier.ppn | | 646143786 | | en_US |
| dc.rights | | http://www.econstor.eu/dspace/Nutzungsbedingungen | | en_US |
| dc.identifier.repec | | RePEc:zbw:iwqwdp:042011 | | - |
| Appears in Collections: | | IWQW Discussion Paper Series, FAU Erlangen-Nürnberg
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