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[D 16] Estimation of extreme quantiles conditioning on multivariate critical layers

Revue Internationale avec comité de lecture : Journal Environmetrics, vol. 27(3), pp. 158-168, 2016
motcle:
Résumé: The aim of this work is to propose a non-parametric extreme estimation procedure for a multivariate quantile. An extrapolation method is developed under the Archimedean copula assumption for the dependence structure of X and the von Mises condition for marginal X_i. The main result is the central limit theorem for our estimator. A set of simulations illustrates the finite-sample performance of the proposed estimator. We finally illustrate how the proposed estimation procedure can help in the evaluation of extreme multivariate hydrological risks.

BibTeX

@article {
D 16,
title="{Estimation of extreme quantiles conditioning on multivariate critical layers}",
author="E. Di Bernardino and F. Palacios-Rodriguez",
journal="Environmetrics",
year=2016,
volume=27,
number=3,
pages="158-168",
}