M. Abramovitz and I. Stegun, Handbook of Mathematical Functions, 1965.

Y. Aragon, A. Daouia, and C. Thomas-agnan, NONPARAMETRIC FRONTIER ESTIMATION: A CONDITIONAL QUANTILE-BASED APPROACH, Econometric Theory, vol.56, issue.02, pp.358-389, 2005.
DOI : 10.2307/2533009
URL : https://hal.archives-ouvertes.fr/hal-00078732

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

C. Cazals, J. Florens, and L. Simar, Nonparametric frontier estimation: a robust approach, Journal of Econometrics, vol.106, issue.1, 2002.
DOI : 10.1016/S0304-4076(01)00080-X

A. Daouia and L. Simar, Robust nonparametric estimators of monotone boundaries, Journal of Multivariate Analysis, vol.96, issue.2, pp.311-331, 2005.
DOI : 10.1016/j.jmva.2004.10.005

D. Deprins, L. Simar, and H. Tulkens, Measuring Labor-Efficiency in Post Offices, 1984.
DOI : 10.1007/978-0-387-25534-7_16

U. Einmahl and D. M. Mason, An empirical process approach to the uniform consistency of kernel-type function estimators, Journal of Theoretical Probability, vol.13, issue.1, pp.1-37, 2000.
DOI : 10.1023/A:1007769924157

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

L. Gardes and G. Stupfler, Estimation of the conditional tail-index using a smoothed local Hill estimator. Extremes, to appear, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00739454

J. Geffroy, Sur un problème d'estimation géométrique, Publ. Inst. Statist. Univ. Paris XIII, pp.191-210, 1964.

J. Geffroy, S. Girard, and P. Jacob, -error of a boundary estimator, Journal of Nonparametric Statistics, vol.82, issue.1, pp.21-31, 2006.
DOI : 10.1023/A:1013991808181
URL : https://hal.archives-ouvertes.fr/hal-01258434

S. Girard, A. Guillou, and G. Stupfler, Frontier estimation with kernel regression on high order moments, Journal of Multivariate Analysis, vol.116, pp.172-189, 2013.
DOI : 10.1016/j.jmva.2012.12.001
URL : https://hal.archives-ouvertes.fr/hal-00499369

S. Girard, A. Iouditski, and A. Nazin, L 1-Optimal Nonparametric Frontier Estimation via Linear Programming, Automation and Remote Control, vol.46, issue.3, pp.2000-2018, 2005.
DOI : 10.1007/s10513-005-0231-x

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 P. Jacob, Frontier estimation with local polynomials and high power-transformed data, Journal of Multivariate Analysis, vol.100, issue.8, pp.1691-1705, 2009.
DOI : 10.1016/j.jmva.2009.01.011
URL : https://hal.archives-ouvertes.fr/hal-00384731

P. Hall, On Estimating the Endpoint of a Distribution, The Annals of Statistics, vol.10, issue.2, pp.556-568, 1982.
DOI : 10.1214/aos/1176345796

W. Härdle, P. Janssen, and R. Serfling, Strong Uniform Consistency Rates for Estimators of Conditional Functionals, The Annals of Statistics, vol.16, issue.4, pp.1428-1449, 1988.
DOI : 10.1214/aos/1176351047

W. Härdle and J. S. Marron, Optimal Bandwidth Selection in Nonparametric Regression Function Estimation, The Annals of Statistics, vol.13, issue.4, pp.1465-1481, 1985.
DOI : 10.1214/aos/1176349748

W. Härdle, B. U. Park, and A. Tsybakov, Estimation of Non-sharp Support Boundaries, Journal of Multivariate Analysis, vol.55, issue.2, 1995.
DOI : 10.1006/jmva.1995.1075

W. Hoeffding, Probability inequalities for sums of bounded random variables, J. Amer, 1963.

P. Jacob and C. Suquet, Estimating the edge of a Poisson process by orthogonal series, Journal of Statistical Planning and Inference, vol.46, issue.2, 1995.
DOI : 10.1016/0378-3758(94)00103-3

A. Korostelev, L. Simar, and A. Tsybakov, Efficient Estimation of Monotone Boundaries, The Annals of Statistics, vol.23, issue.2, 1995.
DOI : 10.1214/aos/1176324531

M. Lemdani, E. Ould-saïd, and N. Poulin, Asymptotic properties of a conditional quantile estimator with randomly truncated data, Journal of Multivariate Analysis, vol.100, issue.3, pp.546-559, 2009.
DOI : 10.1016/j.jmva.2008.06.004

Y. P. Mack and B. W. Silverman, Weak and strong uniform consistency of kernel regression estimates, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.26, issue.No. 2, pp.405-415, 1982.
DOI : 10.1007/BF00539840

E. A. Nadaraya, On Non-Parametric Estimates of Density Functions and Regression Curves, Theory of Probability & Its Applications, vol.10, issue.1, 1965.
DOI : 10.1137/1110024

E. Parzen, On Estimation of a Probability Density Function and Mode, The Annals of Mathematical Statistics, vol.33, issue.3, pp.1065-1076, 1962.
DOI : 10.1214/aoms/1177704472

M. Rosenblatt, Remarks on Some Nonparametric Estimates of a Density Function, The Annals of Mathematical Statistics, vol.27, issue.3, 1956.
DOI : 10.1214/aoms/1177728190

B. W. Silverman, Weak and Strong Uniform Consistency of the Kernel Estimate of a Density and its Derivatives, The Annals of Statistics, vol.6, issue.1, pp.177-184, 1978.
DOI : 10.1214/aos/1176344076

W. Stute, A Law of the Logarithm for Kernel Density Estimators, The Annals of Probability, vol.10, issue.2, pp.414-422, 1982.
DOI : 10.1214/aop/1176993866