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Abstract : In this paper, we propose simple estimation methods dedicated to a semiparametric family of bivariate copulas. These copulas can be simply estimated through the estimation of their univariate generating function. We take profit of this result to estimate the associated measures of association as well as the high probability regions of the copula. These procedures are illustrated on simulations and on real data.
https://hal.inria.fr/hal-00724711 Contributor : Stephane GirardConnect in order to contact the contributor Submitted on : Tuesday, May 13, 2014 - 4:00:52 PM Last modification on : Thursday, January 20, 2022 - 5:30:13 PM Long-term archiving on: : Monday, April 10, 2017 - 10:34:52 PM
Cécile Amblard, Stéphane Girard. Estimation procedures for a semiparametric family of bivariate copulas. Journal of Computational and Graphical Statistics, Taylor & Francis, 2005, 14 (2), pp.1-15. ⟨10.1198/106186005X48722⟩. ⟨hal-00724711v2⟩