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Bibliographic Details
Main Authors: Gardes, Laurent, Girard, Stéphane
Format: Preprint
Published: 2011
Subjects:
Online Access:https://arxiv.org/abs/1104.0764
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Table of Contents:
  • We address the problem of estimating the Weibull tail-coefficient which is the regular variation exponent of the inverse failure rate function. We propose a family of estimators of this coefficient and an associate extreme quantile estimator. Their asymptotic normality are established and their asymptotic mean-square errors are compared. The results are illustrated on some finite sample situations.