[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.