M. I. Alves, L. De-haan, and T. Lin, Estimation of the parameter controlling the speed of convergence in extreme value theory, Mathematical Methods of Statistics, vol.12, pp.155-176, 2003.

J. Beirlant and Y. Goegebeur, Regression with response distributions of Pareto-type, Computational Statistics & Data Analysis, vol.42, issue.4, pp.595-619, 2003.
DOI : 10.1016/S0167-9473(02)00120-2

A. Berlinet, A. Gannoun, and E. Matzner-løber, Asymptotic normality of convergent estimates of conditional quantiles, Statistics, vol.1, issue.2, pp.139-169, 2001.
DOI : 10.1214/aos/1176348513

N. H. Bingham, C. M. Goldie, and J. L. Teugels, Regular Variation, 1987.
DOI : 10.1017/CBO9780511721434

F. Caeiro and M. I. Gomes, Bias reduction in the estimation of parameters of rare events, Theory of Stochastic Processes, pp.67-76, 2002.

V. Chavez-demoulin and A. C. Davison, Generalized additive modelling of sample extremes, Journal of the Royal Statistical Society: Series C (Applied Statistics), vol.51, issue.1, pp.207-222, 2005.
DOI : 10.1016/0304-4076(82)90100-2

J. Danielsson, L. De-haan, L. Peng, and C. G. De-vries, Using a Bootstrap Method to Choose the Sample Fraction in Tail Index Estimation, Journal of Multivariate Analysis, vol.76, issue.2, pp.226-248, 2001.
DOI : 10.1006/jmva.2000.1903

A. Daouia, L. Gardes, S. Girard, and A. Lekina, Kernel estimators of extreme level curves, TEST, vol.73, issue.2, pp.311-333, 2011.
DOI : 10.1007/s11749-010-0196-0

URL : https://hal.archives-ouvertes.fr/inria-00393588

A. C. Davison and N. I. Ramesh, Local likelihood smoothing of sample extremes, Journal of the Royal Statistical Society: Series B (Statistical Methodology), vol.62, issue.1, pp.191-208, 2000.
DOI : 10.1111/1467-9868.00228

A. C. Davison and R. L. Smith, Models for exceedances over high thresholds, Journal of the Royal Statistical Society, series B, vol.52, pp.393-442, 1990.

A. Dekkers and L. De-haan, On the Estimation of the Extreme-Value Index and Large Quantile Estimation, The Annals of Statistics, vol.17, issue.4, pp.1795-1832, 1989.
DOI : 10.1214/aos/1176347396

J. Diebolt, L. Gardes, S. Girard, and A. Guillou, Bias-reduced extreme quantile estimators of Weibull tail-distributions, Journal of Statistical Planning and Inference, vol.138, issue.5, pp.1389-1401, 2008.
DOI : 10.1016/j.jspi.2007.04.025

P. Embrechts, C. Klüppelberg, and T. Mikosch, Modelling extremal events, 1997.
DOI : 10.1007/978-3-642-33483-2

M. Falk, J. Hüsler, and R. D. Reiss, Laws of small numbers: Extremes and rare events, 2004.

F. Ferraty, A. Laksaci, A. Tadj, and P. Vieu, Rate of uniform consistency for nonparametric estimates with functional variables, Journal of Statistical Planning and Inference, vol.140, issue.2, pp.335-352, 2010.
DOI : 10.1016/j.jspi.2009.07.019

URL : https://hal.archives-ouvertes.fr/hal-00629617

F. Ferraty, A. Martinez-calvo, and P. Vieu, Thresholding in nonparametric functional regression with scalar response Recent advances in functional data analysis and related topics, pp.103-109, 2011.

F. Ferraty, A. Rabhi, and P. Vieu, Conditional quantiles for dependent functional data with application to the climatic El Nino Phenomenon, Sankhya: The Indian Journal of Statistics, vol.67, issue.2, pp.378-398, 2005.

F. Ferraty, P. Vieu, and P. , The functional nonparametric model and application to spectrometric data, Computational Statistics, vol.17, issue.4, pp.545-564, 2002.
DOI : 10.1007/s001800200126

F. Ferraty and P. Vieu, Nonparametric functional data analysis, 2006.

A. K. Gangopadhyay, A note on the asymptotic behavior of conditional extremes, Statistics & Probability Letters, vol.25, issue.2, pp.163-170, 1995.
DOI : 10.1016/0167-7152(94)00218-W

A. Gannoun, Estimation non paramétrique de la médiane conditionnelle, médianogramme et méthode du noyau, Publications de l'Institut de Statistique de l, pp.11-22, 1990.

A. Gannoun, S. Girard, C. Guinot, and J. Saracco, Reference curves based on non-parametric quantile regression, Statistics in Medicine, vol.VIII, issue.20, pp.3119-3135, 2002.
DOI : 10.1002/sim.1226

L. Gardes and S. Girard, Estimating Extreme Quantiles of Weibull Tail Distributions, Communications in Statistics - Theory and Methods, vol.73, issue.5, pp.1065-1080, 2005.
DOI : 10.1029/WR023i008p01657

URL : https://hal.archives-ouvertes.fr/hal-00326609

L. Gardes and S. Girard, A moving window approach for nonparametric estimation of the conditional tail index, Journal of Multivariate Analysis, vol.99, issue.10, pp.2368-2388, 2008.
DOI : 10.1016/j.jmva.2008.02.023

URL : https://hal.archives-ouvertes.fr/inria-00124637

L. Gardes and S. Girard, Conditional extremes from heavy-tailed distributions: an application to the estimation of extreme rainfall return levels, Extremes, vol.73, issue.2, pp.177-204, 2010.
DOI : 10.1007/s10687-010-0100-z

URL : https://hal.archives-ouvertes.fr/hal-00371757

L. Gardes, S. Girard, and A. Lekina, Functional nonparametric estimation of conditional extreme quantiles, Journal of Multivariate Analysis, vol.101, issue.2, pp.419-433, 2010.
DOI : 10.1016/j.jmva.2009.06.007

URL : https://hal.archives-ouvertes.fr/hal-00289996

I. Gijbels and L. Peng, Estimation of a support curve via order statistics, Extremes, vol.3, issue.3, pp.251-277, 2000.
DOI : 10.1023/A:1011407111136

S. Girard and P. Jacob, Frontier estimation via kernel regression on high power-transformed data, Journal of Multivariate Analysis, vol.99, issue.3, pp.403-420, 2008.
DOI : 10.1016/j.jmva.2006.11.006

URL : https://hal.archives-ouvertes.fr/hal-00077683

S. Girard and L. Menneteau, Central limit theorems for smoothed extreme value estimates of point processes boundaries, Journal of Statistical Planning and Inference, vol.135, issue.2, pp.433-460, 2005.
DOI : 10.1016/j.jspi.2003.08.005

URL : https://hal.archives-ouvertes.fr/hal-00383141

M. I. Gomes, M. J. Martins, and M. Neves, Semi-parametric estimation of the second order parameter, asymptotic and finite sample behaviour, Extremes, vol.3, issue.3, pp.207-229, 2000.
DOI : 10.1023/A:1011470010228

M. I. Gomes and M. J. Martins, Generalizations of the Hill estimator ??? asymptotic versus finite sample behaviour, Journal of Statistical Planning and Inference, vol.93, issue.1-2, pp.161-180, 2001.
DOI : 10.1016/S0378-3758(00)00201-9

L. De-haan and A. Ferreira, Extreme Value Theory: An Introduction, Series in Operations Research and Financial Engineering, 2006.
DOI : 10.1007/0-387-34471-3

P. Hall and N. Tajvidi, Nonparametric analysis of temporal trend when fitting parametric models to extreme-value data, Statistical Science, vol.15, pp.153-167, 2000.

B. M. Hill, A Simple General Approach to Inference About the Tail of a Distribution, The Annals of Statistics, vol.3, issue.5, pp.1163-1174, 1975.
DOI : 10.1214/aos/1176343247

A. P. Korostelev and A. B. Tsybakov, Minimax theory of image reconstruction, Lecture Notes in Statistics, vol.82, 1993.
DOI : 10.1007/978-1-4612-2712-0

S. E. Leurgans, R. A. Moyeed, and B. W. Silverman, Canonical correlation analysis when the data are curves, Journal of the Royal Statistical Society, series B, vol.55, pp.725-740, 1993.

J. Pickands, Statistical inference using extreme order statistics. The Annals of Statistics, pp.119-131, 1975.

G. G. Roussas, Nonparametric Estimation of the Transition Distribution Function of a Markov Process, The Annals of Mathematical Statistics, vol.40, issue.4, pp.1386-1400, 1969.
DOI : 10.1214/aoms/1177697510

T. Samanta, Non-parametric estimation of conditional quantiles, Statistics & Probability Letters, vol.7, issue.5, pp.407-412, 1989.
DOI : 10.1016/0167-7152(89)90095-3

J. Segers, Residual estimators, Journal of Statistical Planning and Inference, vol.98, issue.1-2, pp.15-27, 2001.
DOI : 10.1016/S0378-3758(00)00321-9

R. L. Smith, Extreme Value Analysis of Environmental Time Series: An Application to Trend Detection in Ground-Level Ozone, Statistical Science, vol.4, issue.4, pp.367-393, 1989.
DOI : 10.1214/ss/1177012400

C. J. Stone, Consistent nonparametric regression (with discussion) The Annals of Statistics, pp.595-645, 1977.

W. Stute, Conditional empirical processes. The Annals of Statistics, pp.638-647, 1986.