A link between Kendall’s τ, the length measure and the surface of bivariate copulas, and a consequence to copulas with self-similar support

Working with shuffles, we establish a close link between Kendall’s τ\tau , the so-called length measure, and the surface area of bivariate copulas and derive some consequences. While it is well known that Spearman’s ρ\rho of a bivariate copula AA is a rescaled version of the volume of the area unde...

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Bibliographic Details
Main Authors: Sánchez Juan Fernández, Trutschnig Wolfgang
Format: Article
Language:English
Published: De Gruyter 2023-11-01
Series:Dependence Modeling
Subjects:
Online Access:https://doi.org/10.1515/demo-2023-0105