Tag Archives: Archimax

Talk at CIMAT, Guanajuato, Mexico

I will be back in Guanajuato, Mexico, this week, to visit Victor Rivero. And I will give a talk at the Centro de Investigacion en Matematicas (CIMAT) this Wednesday on “Multivariate Archimax Copulas“. The slides are already online.

(there is a lot of material on copulas, as requested, to provide an introduction for students not familiar with this concept).

Multivariate Archimax copulas

Our paper, written jointly also with Anne-Laure Fougères, Christian Genest and Johanna Nešlehová, entitled Multivariate Archimax Copulas, should appear some day in the Journal of Multivariate Analysis.

A multivariate extension of the bivariate class of Archimax copulas was recently proposed by Mesiar & Jagr (2013), who asked under which conditions it holds. This paper answers their question and provides a stochastic representation of multivariate Archimax copulas. A few basic properties of these copulas are explored, including their minimum and maximum domains of attraction. Several non-trivial examples of multivariate Archimax copulas are also provided.

In this paper, we extend the class of Archimax copulas, introduced in dimension 2 in Bivariate Distributions with Given Extreme Value Attractor, by Philippe Capéraà, Anne-Laure Fougères and Christian Genest, inspired by some ideas mentioned in a paper published in Kybernetika a few years ago. I will try to post additional material, soon…