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Estimation of the conditional tail index using a smoothed local Hill estimator

Abstract : For heavy-tailed distributions, the so-called tail index is an important parameter that controls the behavior of the tail distribution and is thus of primary interest to estimate extreme quantiles. In this paper, the estimation of the tail index is considered in the presence of a finite-dimensional random covariate. Uniform weak consistency and asymptotic normality of the proposed estimator are established and some illustrations on simulations are provided.
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https://hal.archives-ouvertes.fr/hal-00739454
Contributor : Laurent Gardes <>
Submitted on : Friday, March 1, 2013 - 6:39:56 PM
Last modification on : Thursday, July 9, 2020 - 8:12:30 AM
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  • HAL Id : hal-00739454, version 2

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Laurent Gardes, Gilles Stupfler. Estimation of the conditional tail index using a smoothed local Hill estimator. Extremes, Springer Verlag (Germany), 2014, 17 (1), pp.45-75. ⟨hal-00739454v2⟩

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