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Estimating the extreme quantile of the Weibull tail distributions from k-record values

Mohamed El ARROUCHI, Abdelouahid IMLAHI


We propose a new estimator of extreme quantile of the Weibull tail distributions which is constructed from the k-record values. Its asymptotic behavior is investigated. Some numerical results are given at the end of this paper.


Weibull tail coefficient, k-record value, Extreme quantile, Asymptotic normality

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