Arbeitspapier
Properties of hierarchical Archimedean copulas
In this paper we analyse the properties of hierarchical Archimedean copulas. This class is a generalisation of the Archimedean opulas and allows for general non-exchangeable dependency structures. We show that the structure of the copula can be uniquely recovered from all bivariate margins. We derive the distribution of the copula value, which is particularly useful for tests and constructing confidence intervals. Furthermore, we analyse dependence orderings, multivariate dependence measures and extreme value copulas. Special attention we pay to the tail dependencies and derive several tail dependence indices for general hierarchical Archimedean copulas.
- Sprache
-
Englisch
- Erschienen in
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Series: SFB 649 Discussion Paper ; No. 2009,014
- Klassifikation
-
Wirtschaft
Specific Distributions; Specific Statistics
- Thema
-
Copula
multivariate distribution
Archimedean copula
stochastic ordering
hierarchical copula
Kopula (Mathematik)
Multivariate Analyse
Theorie
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Okhrin, Ostap
Okhrin, Yarema
Schmid, Wolfgang
- Ereignis
-
Veröffentlichung
- (wer)
-
Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk
- (wo)
-
Berlin
- (wann)
-
2009
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:42 MEZ
Datenpartner
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Objekttyp
- Arbeitspapier
Beteiligte
- Okhrin, Ostap
- Okhrin, Yarema
- Schmid, Wolfgang
- Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk
Entstanden
- 2009