Properties of hierarchical Archimedean copulas

Ostap Okhrin, Yarema Okhrin and Wolfgang Schmid

No 2009-014, SFB 649 Discussion Papers from Humboldt University Berlin, Collaborative Research Center 649: Economic Risk

Abstract: 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.

Keywords: Copula; multivariate distribution; Archimedean copula; stochastic ordering; hierarchical copula (search for similar items in EconPapers)
JEL-codes: C16 C46 (search for similar items in EconPapers)
Date: 2009
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Journal Article: Properties of hierarchical Archimedean copulas (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:zbw:sfb649:sfb649dp2009-014

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