I. A. Ahmad, On multivariate kernel estimation for samples from weighted distributions, Statistics & Probability Letters, vol.22, issue.2, pp.121-129, 1995.
DOI : 10.1016/0167-7152(94)00057-F

Y. P. Chaubey, C. Chesneau, and . Doosti, On linear wavelet density estimation: Some recent developments, J. Ind. Soc. Agr. Stat, vol.65, pp.169-179, 2011.

Y. P. Chaubey, N. La¨?bla¨?b, and J. Li, Generalized kernel regression estimator for dependent size-biased data, Journal of Statistical Planning and Inference, vol.142, issue.3, pp.708-727, 2012.
DOI : 10.1016/j.jspi.2011.09.008

Y. Chaubey, C. Chesneau, and E. Shirazi, Wavelet-based estimation of regression function for dependent biased data under a given random design, Journal of Nonparametric Statistics, vol.80, issue.1, pp.53-71, 2013.
DOI : 10.1080/10485252.2012.734619

Y. P. Chaubey and E. Shirazi, On MISE of a nonlinear wavelet estimator of the regression function based on biased data under strong mixing, Communications in Statistics: Theory and Methods, 2014.

C. Chesneau, A Note on Wavelet Estimation of the Derivatives of a Regression Function in a Random Design Setting, International Journal of Mathematics and Mathematical Sciences, vol.24, issue.2, 2014.
DOI : 10.1051/ps/2012024

URL : https://hal.archives-ouvertes.fr/hal-00925546

C. Chesneau, M. Kachour, and F. Navarro, Average derivative estimation from biased data. ISRN Probability and Statistics, 2014.

C. Chesneau and E. Shirazi, Nonparametric Wavelet Regression Based on Biased Data, Communications in Statistics - Theory and Methods, vol.10, issue.3, pp.2642-2658, 2014.
DOI : 10.1006/jmva.2000.1980

A. Cohen, I. Daubechies, B. Jawerth, and P. Vial, Wavelets on the Interval and Fast Wavelet Transforms, Applied and Computational Harmonic Analysis, vol.1, issue.1, pp.54-81, 1993.
DOI : 10.1006/acha.1993.1005

URL : https://hal.archives-ouvertes.fr/hal-01311753

J. A. Cristóbal and J. T. Alcalá, Nonparametric regression estimators for length biased data, Journal of Statistical Planning and Inference, vol.89, issue.1-2, pp.145-168, 2000.
DOI : 10.1016/S0378-3758(00)00092-6

J. A. Cristóbal and J. T. Alcalá, An overview of nonparametric contributions to the problem of functional estimation from biased data, Test, vol.6, issue.2, pp.9-332, 2001.
DOI : 10.1007/BF02595700

J. A. Cristòbal, J. L. Ojeda, and J. T. , Confidence bands in nonparametric regression with length biased data, Annals of the Institute of Statistical Mathematics, vol.10, issue.3, pp.475-496, 2004.
DOI : 10.1007/BF02530537

D. Donoho, I. Johnstone, G. Kerkyacharian, and D. Picard, Density estimation by wavelet thresholding, The Annals of Statistics, vol.24, issue.2, pp.508-539, 1996.
DOI : 10.1214/aos/1032894451

B. Hall, Nonparametric estimation of derivatives with applications, 2010.

W. Härdle, G. Kerkyacharian, D. Picard, and A. Tsybakov, Wavelet, Approximation and Statistical Applications, Lectures Notes in Statistics, 1998.

S. Mallat, A wavelet tour of signal processing (Third Edition): The Sparse Way, 2009.

Y. Meyer, Wavelets and Operators, 1992.

J. L. Ojeda, W. Gonzáles-manteiga, and J. A. Cristóbal, it A bootstrap based model checking for selection-biased data, pp.7-12, 2007.

J. Ojeda-cabrera and I. Van-keilegom, Goodness-of-fit tests for parametric regression with selection biased data, Journal of Statistical Planning and Inference, vol.139, issue.8, pp.2836-2850, 2009.
DOI : 10.1016/j.jspi.2009.01.008

M. Pensky and B. Vidakovic, On non-equally spaced wavelet regression, Annals of the Institute of Statistical Mathematics, vol.53, issue.4, pp.681-690, 2001.
DOI : 10.1023/A:1014640632666

P. Ramirez and B. Vidakovic, Wavelet density estimation for stratified size-biased sample, Journal of Statistical Planning and Inference, vol.140, issue.2, pp.419-432, 2010.
DOI : 10.1016/j.jspi.2009.07.021

H. P. Rosenthal, On the subspaces ofL p (p>2) spanned by sequences of independent random variables, Israel Journal of Mathematics, vol.8, issue.3, pp.273-303, 1970.
DOI : 10.1007/BF02771562

M. Sköld, Kernel regression in the presence of size-bias, Journal of Nonparametric Statistics, vol.26, issue.1, pp.41-51, 1999.
DOI : 10.1214/aos/1176346585

C. O. Wu, Local polynomial regression with selection biased data, Statist. Sinica, vol.10, pp.789-817, 2000.