Nous considérons l’estimateur à noyau de l’indice des valeurs extrêmes conditionnel présenté dans Goegebeur, Y., Guillou, A., Schorgen, G. (2013). Nonparametric regression estimation of conditional tails – the random covariate case. Nous montrons la consistance uniforme presque sûre de cet estimateur sur les compacts et nous calculons sa vitesse de convergence presque sûre.
We consider a nonparametric regression estimator of conditional tails introduced by Goegebeur, Y., Guillou, A., Schorgen, G. (2013). Nonparametric regression estimation of conditional tails – the random covariate case. It is shown that this estimator is uniformly strongly consistent on compact sets and its rate of convergence is given.
@article{AIHPB_2015__51_3_1190_0, author = {Goegebeur, Yuri and Guillou, Armelle and Stupfler, Gilles}, title = {Uniform asymptotic properties of a nonparametric regression estimator of conditional tails}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {1190--1213}, publisher = {Gauthier-Villars}, volume = {51}, number = {3}, year = {2015}, doi = {10.1214/14-AIHP624}, mrnumber = {3365978}, zbl = {1326.62089}, language = {en}, url = {http://archive.numdam.org/articles/10.1214/14-AIHP624/} }
TY - JOUR AU - Goegebeur, Yuri AU - Guillou, Armelle AU - Stupfler, Gilles TI - Uniform asymptotic properties of a nonparametric regression estimator of conditional tails JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2015 SP - 1190 EP - 1213 VL - 51 IS - 3 PB - Gauthier-Villars UR - http://archive.numdam.org/articles/10.1214/14-AIHP624/ DO - 10.1214/14-AIHP624 LA - en ID - AIHPB_2015__51_3_1190_0 ER -
%0 Journal Article %A Goegebeur, Yuri %A Guillou, Armelle %A Stupfler, Gilles %T Uniform asymptotic properties of a nonparametric regression estimator of conditional tails %J Annales de l'I.H.P. Probabilités et statistiques %D 2015 %P 1190-1213 %V 51 %N 3 %I Gauthier-Villars %U http://archive.numdam.org/articles/10.1214/14-AIHP624/ %R 10.1214/14-AIHP624 %G en %F AIHPB_2015__51_3_1190_0
Goegebeur, Yuri; Guillou, Armelle; Stupfler, Gilles. Uniform asymptotic properties of a nonparametric regression estimator of conditional tails. Annales de l'I.H.P. Probabilités et statistiques, Tome 51 (2015) no. 3, pp. 1190-1213. doi : 10.1214/14-AIHP624. http://archive.numdam.org/articles/10.1214/14-AIHP624/
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