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Comparison of Weibull tail-coefficient estimators

Methodology 2024-09-04 v1

Abstract

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.

Cite

@article{arxiv.1104.0764,
  title  = {Comparison of Weibull tail-coefficient estimators},
  author = {Laurent Gardes and Stéphane Girard},
  journal= {arXiv preprint arXiv:1104.0764},
  year   = {2024}
}
R2 v1 2026-06-21T17:49:32.509Z