Skip to Main content Skip to Navigation
Journal articles

A note on upper-patched generators for Archimedean copulas

Abstract : The class of multivariate Archimedean copulas is defined by using a real-valued function called the generator of the copula. This generator satisfies some properties, including d-monotony. We propose here a new basic transformation of this generator, preserving these properties, thus ensuring the validity of the transformed generator and inducing a proper valid copula. This transformation acts only on a specific portion of the generator, it allows both the non-reduction of the likelihood on a given dataset, and the choice of the upper tail dependence coefficient of the transformed copula. Numerical illustrations show the utility of this construction, which can improve the fit of a given copula both on its central part and its tail.
Complete list of metadatas

Cited literature [36 references]  Display  Hide  Download
Contributor : Didier Rullière <>
Submitted on : Wednesday, March 1, 2017 - 4:25:13 PM
Last modification on : Wednesday, February 17, 2021 - 11:48:03 AM


Files produced by the author(s)



Elena Di Bernardino, Didier Rullière. A note on upper-patched generators for Archimedean copulas. ESAIM: Probability and Statistics, EDP Sciences, 2017, ⟨10.1051/ps/2017003⟩. ⟨hal-01347869v2⟩



Record views


Files downloads