Nonparametric estimation of the conditional tail index
Résumé
We present a nonparametric family of estimators for the tail index of a Pareto-type distribution when covariate information is available. Our estimators are based on a weighted sum of the log-spacings between some selected observations. This selection is achieved through a moving window approach on the covariate domain and a random threshold on the variable of interest. Asymptotic normality is proved under mild regularity conditions and illustrated for some weight functions. Finite sample performances are presented on a real data study.
Domaines
Méthodologie [stat.ME]
Fichier principal
Gardes_Girard_SEER07.pdf (105.11 Ko)
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poster.pdf (133.3 Ko)
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Origine | Fichiers produits par l'(les) auteur(s) |
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Format | Autre |
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