A moving window approach for nonparametric estimation of the conditional tail index

Autor: Gardes, L., Girard, S.
Rok vydání: 2011
Předmět:
Zdroj: Journal of Multivariate Analysis, 99, 2368-2388 (2008)
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv