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Article Dans Une Revue Communications in Statistics - Theory and Methods Année : 2005

Estimating extreme quantiles of Weibull tail-distributions

Résumé

We present a new estimator of extreme quantiles dedicated to Weibull tail-distributions. This estimate is based on a consistent estimator of the Weibull tail-coefficient. This parameter is defined as the regular variation coefficient of the inverse cumulative hazard function. We give conditions in order to obtain the weak consistency and the asymptotic distribution of the extreme quantiles estimator. Its asymptotic as well as its finite sample performances are compared to classical ones.
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Dates et versions

hal-00326609 , version 1 (03-10-2008)

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  • HAL Id : hal-00326609 , version 1

Citer

Laurent Gardes, Stéphane Girard. Estimating extreme quantiles of Weibull tail-distributions. Communications in Statistics - Theory and Methods, 2005, 34, pp.1065-1080. ⟨hal-00326609⟩

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