U. Amato, A. Antoniadis, and M. Et-pensky, Wavelet kernel penalized estimation for non-equispaced design regression, Statistics and Computing, vol.23, issue.1, pp.37-56, 2006.
DOI : 10.1007/s11222-006-5283-4

URL : https://hal.archives-ouvertes.fr/hal-00103268

A. Antoniadis, Taux de convergence pour des modèles de régressionrégression`régressionà infconvolution spline et applications, pp.20-32, 1992.

A. Antoniadis, Smoothing noisy data with tapered coiflets series, Scandinavian Journal of Statistics, vol.23, issue.3, pp.313-330, 1996.

A. Antoniadis, Wavelets in statistics: A review, Journal of the Italian Statistical Society, vol.24, issue.2, 1997.
DOI : 10.1007/BF03178905

A. Antoniadis and J. Et-fan, Regularization of Wavelet Approximations, Journal of the American Statistical Association, vol.96, issue.455, pp.939-967, 2001.
DOI : 10.1198/016214501753208942

A. Antoniadis, G. Grégoire, and I. Et-mckeague, Wavelet Methods for Curve Estimation, Journal of the American Statistical Association, vol.26, issue.428, pp.1340-1353, 1994.
DOI : 10.1214/aos/1176344617

A. Antoniadis and D. Et-pham, Wavelet regression for random or irregular design, Computational Statistics & Data Analysis, vol.28, issue.4, pp.353-369, 1998.
DOI : 10.1016/S0167-9473(98)90145-1

Z. Bai, C. Rao, and Y. Et-wu, M-estimation of multivariate linear regression parameters under a convex discrepancy function, Statistica Sinica, pp.237-254, 1992.

T. Cai and L. Et-brown, Wavelet shrinkage for nonequispaced design, The Annals of Statistics, vol.26, issue.5, pp.1783-1799, 1998.

T. Cai and L. Et-brown, Wavelet estimation for samples with random uniform design, Statistics & Probability Letters, vol.42, issue.3, pp.313-321, 1999.
DOI : 10.1016/S0167-7152(98)00223-5

X. Chang and L. Et-qu, Wavelet estimation of partially linear models, Computational Statistics & Data Analysis, vol.47, issue.1, 2004.
DOI : 10.1016/j.csda.2003.10.018

H. Chen, Estimation of semiparametric generalized linear models, 1987.

H. Chen, Convergence rates for parametric components in a partly linear model. The Annals of Statistics, pp.136-146, 1988.

H. Chen and K. Et-chen, Selection of the splined variables and convergence rates in a partial spline model, Canadian Journal of Statistics, vol.5, issue.3, pp.323-339, 1991.
DOI : 10.2307/3315397

H. Chen and J. H. Et-shiau, A two-stage spline smoothing method for partially linear models, Journal of Statistical Planning and Inference, vol.27, issue.2, pp.187-201, 1991.
DOI : 10.1016/0378-3758(91)90015-7

C. Chesneau, Quelques contributionsàcontributions`contributionsà l'estimation fonctionnelle par méthode d'ondelettes, 2006.

C. Chesneau, Regression with random design: A minimax study, Statistics & Probability Letters, vol.77, issue.1, pp.40-53, 2007.
DOI : 10.1016/j.spl.2006.05.010

URL : https://hal.archives-ouvertes.fr/hal-00014248

C. Chesneau and T. Et-willer, Numerical performances of a warped wavelet estimation procedure for regression in random design, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00133831

C. Chui, Wavelet : a tutorial in theory and applications, 1992.

R. Dahyot, P. Charbonnier, and F. Et-heitz, Robust visual recognition of colour images, Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662), pp.685-690, 2000.
DOI : 10.1109/CVPR.2000.855886

R. Dahyot, P. Charbonnier, and F. Et-heitz, A Bayesian approach to object detection using probabilistic appearance-based models, Pattern Analysis and Applications, vol.11, issue.3, pp.317-332, 2004.
DOI : 10.1007/s10044-004-0230-5

R. Dahyot and A. Et-kokaram, Comparison of two algorithms for robust m-estimation of global motion parameters, 2004.

I. Daubechies, Ten lectures on wavelets, 1992.

L. Davies, The asymptotics of S-estimators in the linear regression model. The Annals of Statistics, pp.1651-1675, 1990.

V. Delouille, J. Franke, and R. V. Et-sachs, Smooth Design-Adapted Wavelets for Nonparametric Stochastic Regression, Journal of the American Statistical Association, vol.99, issue.467, pp.328-366, 2001.
DOI : 10.1198/016214504000000971

V. Delouille, J. Simoens, and R. V. Et-sachs, Smooth Design-Adapted Wavelets for Nonparametric Stochastic Regression, Journal of the American Statistical Association, vol.99, issue.467, 2001.
DOI : 10.1198/016214504000000971

S. Donald and W. Et-newey, Series Estimation of Semilinear Models, Journal of Multivariate Analysis, vol.50, issue.1, pp.30-40, 1994.
DOI : 10.1006/jmva.1994.1032

D. Donoho, De-noising by soft-thresholding, IEEE Transactions on Information Theory, vol.41, issue.3, 1992.
DOI : 10.1109/18.382009

D. Donoho and I. Et-johnstone, Ideal spatial adaptation by wavelet shrinkage, Biometrika, vol.81, issue.3, pp.425-455, 1994.
DOI : 10.1093/biomet/81.3.425

D. Donoho and I. Et-johnstone, Minimax estimation via wavelet shrinkage, The Annals of Statistics, vol.26, issue.3, pp.879-921, 1998.
DOI : 10.1214/aos/1024691081

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.161.9236

D. Donoho, I. Johnstone, G. Kerkyacharian, and D. Et-picard, Wavelet shrinkage : asymptotia ?, Journal of Royal Statistics Society, vol.57, issue.2, pp.301-369, 1995.

R. Engle, C. Granger, J. Rice, and A. Et-weiss, Semiparametric estimates of the relation between weather and electricity sales, Journal of the American Statistical Association, issue.394, pp.81-310, 1986.

J. Fadili and E. Et-bullmore, Penalized partially linear models using sparse representations with an application to fMRI time series, IEEE Transactions on Signal Processing, vol.53, issue.9, pp.3436-3448, 2005.
DOI : 10.1109/TSP.2005.853207

URL : https://hal.archives-ouvertes.fr/hal-00260246

J. Fan and R. Li, Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties, Journal of the American Statistical Association, vol.96, issue.456, pp.96-1348, 2001.
DOI : 10.1198/016214501753382273

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.128.4174

J. Fuchs, An inverse problem approach to robust regression, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258), pp.1809-1812, 1999.
DOI : 10.1109/ICASSP.1999.758272

I. Gannaz, Robust estimation and wavelet thresholding in partially linear models, Statistics and Computing, vol.50, issue.4, pp.293-310, 2007.
DOI : 10.1007/s11222-007-9019-x

URL : https://hal.archives-ouvertes.fr/hal-00171724

D. Geman and G. Et-reynolds, Constrained restoration and the recovery of discontinuities, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.14, issue.3, pp.367-383, 1992.
DOI : 10.1109/34.120331

D. Geman and C. Et-yang, Nonlinear image recovery with half-quadratic regularization, IEEE Transactions on Image Processing, vol.4, issue.7, pp.932-946, 1995.
DOI : 10.1109/83.392335

P. Green and B. Et-yandell, Semi-parametric Generalized Linear Models, 1985.
DOI : 10.1007/978-1-4615-7070-7_6

B. Hall, P. Et-turlach, and B. , Interpolation methods for nonlinear wavelet regression with irregularly spaced design. The Annals of Statistics, pp.1912-1925, 1997.

S. Hamilton and Y. Et-truong, Local Linear Estimation in Partly Linear Models, Journal of Multivariate Analysis, vol.60, issue.1, pp.1-19, 1997.
DOI : 10.1006/jmva.1996.1642

F. R. Hampel, P. J. Rousseeuw, E. Ronchetti, and W. A. Et-stahel, Robust statistics : The approach based on influence functions, 1986.
DOI : 10.1002/9781118186435

W. Hardle, G. Kerkyacharian, D. Picard, and A. Et-tsybakov, Wavelets approximation and statistical applications, Lecture Notes in Statistics, vol.129, 1998.
DOI : 10.1007/978-1-4612-2222-4

W. Hardle, H. Liang, and J. Et-gao, Partially linear models, 2000.

W. Hardle, H. Liang, and V. Sommerfeld, Bootstrap approximations in a partially linear regression model, 1999.

N. Heckman, Spline smoothing in partly linear model, Journal of Royal Statistical Society, vol.48, issue.2, pp.244-248, 1986.

P. Huber, Robust Estimation of a Location Parameter, The Annals of Mathematical Statistics, vol.35, issue.1, pp.73-101, 1964.
DOI : 10.1214/aoms/1177703732

I. Ibragimov and R. Et-has-'minskii, Statistical estimation : asymptotic theory, 1980.
DOI : 10.1007/978-1-4899-0027-2

G. Kerkyacharian and D. Et-picard, Regression in random design and warped wavelets, Bernoulli, vol.10, issue.6, pp.1053-1105, 2004.
DOI : 10.3150/bj/1106314850

URL : https://hal.archives-ouvertes.fr/hal-00103448

A. Kovak and B. Et-silverman, Extending the Scope of Wavelet Regression Methods by Coefficient-Dependent Thresholding, Journal of the American Statistical Association, vol.20, issue.449, pp.172-183, 2000.
DOI : 10.1111/1467-9868.00214

J. Loubes and S. Van-der-geer, Adaptive estimation with soft thresholding penalties, Statistica Neerlandica, vol.9, issue.4, pp.454-479, 2002.
DOI : 10.1214/aos/1034276636

S. Mallat, A theory for multiresolution signal decomposition: the wavelet representation, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.11, issue.7, pp.674-693, 1989.
DOI : 10.1109/34.192463

S. Mallat, A wavelet tour on signal processing, 1999.

E. Mammen and S. Van-der-geer, Penalized quadi-likelihood estimation in partial linear models. The Annals of Statistics, pp.1014-1035, 1997.

R. Maronna, O. Bustos, and V. Et-yohai, Bias and efficiency robustness of general Mestimators for regression with random carriers, Smoothing techniques for curve estimation, pp.91-1169, 1979.

V. Maxim, Restauration de signaux bruités observés sur des plans d'expérience aléatoires, 2003.

F. Meyer, Wavelet-based estimation of a semiparametric generalized linear model of fMRI time-series, IEEE Transactions on Medical Imaging, vol.22, issue.3, pp.315-324, 2003.
DOI : 10.1109/TMI.2003.809587

Y. Meyer, Wavelets and operators, 1992.

M. ¨-uller and C. , Redescending M-estimators in regression analysis, cluster analysis and image analysis, Discussiones Mathematicae -Probability and Statistics, issue.24, pp.59-75, 2004.

M. Nikolova and M. Ng, Analysis of Half-Quadratic Minimization Methods for Signal and Image Recovery, SIAM Journal on Scientific Computing, vol.27, issue.3, pp.937-966, 2005.
DOI : 10.1137/030600862

H. Oh, D. Nychka, and T. Et-lee, The Role of Pseudo Data for Robust Smoothing with Application to Wavelet Regression, Biometrika, vol.94, issue.4, 2007.
DOI : 10.1093/biomet/asm064

M. Pensky and B. Et-vidakovic, On non-equally spaced wavelet regression, Annals of Instute of Statistical Mathematics, 2001.

D. Pollard, Empirical processes : theory and applications NFS-CBMS regional conference series in probability and statistics, 1990.

L. Qu, Bayesian wavelet estimation of partially linear models, Journal of Statistical Computation and Simulation, vol.34, issue.7, 2005.
DOI : 10.1002/(SICI)1099-1255(200003/04)15:2<187::AID-JAE548>3.0.CO;2-B

J. Rice, Convergence rates for partially splined models, Statistics & Probability Letters, vol.4, issue.4, pp.203-208, 1986.
DOI : 10.1016/0167-7152(86)90067-2

R. Rockafellar, Convex analysis, 1970.
DOI : 10.1515/9781400873173

C. Roger-vial, Deux contributionsàcontributions`contributionsà l'´ etude semiparamétrique d'un modèle de régression, 2003.

S. Sardy, D. Percival, A. Bruce, H. Gao, and W. Et-stuelze, Wavelet shrinkage for unequally spaced data, 1998.

A. Schick, Root-n-consistent and efficient estimation in semiparametric additive regression models, Statistics & Probability Letters, vol.30, issue.1, pp.45-51, 1996.
DOI : 10.1016/0167-7152(95)00200-6

P. Bibliographie-speckman, Kernel smoothing in partial linear models, Journal of Royal Statistical Society, vol.50, issue.3, pp.413-436, 1988.

B. Vidakovic, Pollen bases and daubechies-lagarias algorithm in matlab, 2002.

T. Vik, Modèles statistiques d'apparence non gaussiens. applicationàapplication`applicationà la création d'un atlas probabiliste de perfusion cérebrale en imagerie médicale, 2004.

T. Willer, Estimation non paramétrique etprobì emes inverses, 2006.

Y. Wu, M -estimation of linear models with dependent errors, The Annals of Statistics, vol.35, issue.2, 2004.
DOI : 10.1214/009053606000001406

L. Xue, Rates of random weighting approximation of wavelet estimates in semiparametric regression model, Acta Mathematicae Applicatae Sinica, vol.26, issue.1, pp.1-25, 2003.