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Pré-Publication, Document De Travail Année : 2018

An extreme quantile estimator for the log-generalized Weibull-tail model

Résumé

We propose a new estimator for extreme quantiles under the log-generalized Weibull-tail model, introduced by Cees de Valk. This model relies on a new regular variation condition which, in some situations, permits to extrapolate further into the tails than the classical assumption in extreme-value theory. The asymptotic normality of the estimator is established and its finite sample properties are illustrated both on simulated and real datasets.
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Dates et versions

hal-01783929 , version 1 (02-05-2018)
hal-01783929 , version 2 (14-05-2018)
hal-01783929 , version 3 (21-09-2018)
hal-01783929 , version 4 (23-01-2019)

Identifiants

  • HAL Id : hal-01783929 , version 3

Citer

Clément Albert, Anne Dutfoy, Laurent Gardes, Stéphane Girard. An extreme quantile estimator for the log-generalized Weibull-tail model. 2018. ⟨hal-01783929v3⟩
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