Median and quantile conditional copulas

Abstract: This article studies the conditional dependency between random variables, conditionally upon a covariate (vector). The conditional copula fully characterizes this conditional dependency. A way to summarize this dependence structure taking into account the impact of the covariate is via the average conditional copula, which under fairly general conditions coincides with the partial copula. A mean is just one way to summarize this conditional dependence behaviour. In this article, we introduce the notions of median conditional copula and more generally quantile conditional copula. We investigate the existence of these concepts and establish explicit expressions for calculating them. Examples are given to illustrate the concepts, and the practical use of them is demonstrated in real data examples.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Median and quantile conditional copulas ; volume:12 ; number:1 ; year:2024 ; extent:31
Dependence modeling ; 12, Heft 1 (2024) (gesamt 31)

Urheber
Gijbels, Irène
Matterne, Margot

DOI
10.1515/demo-2024-0008
URN
urn:nbn:de:101:1-2410131535359.309459290831
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
15.08.2025, 07:22 MESZ

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Beteiligte

  • Gijbels, Irène
  • Matterne, Margot

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