A. Antoniadis, Wavelets in statistics: a review (with discussion), Journal of the Italian Statistical Society, Series B, vol.103, pp.97-144, 1997.
DOI : 10.1007/978-1-4612-2544-7

A. N. Banerjee, A method of estimating the average derivative, Journal of Econometrics, vol.136, issue.1, pp.65-88, 2007.
DOI : 10.1016/j.jeconom.2005.07.010

M. D. Cattaneo, R. K. Crump, and M. Jansson, Robust Data-Driven Inference for Density-Weighted Average Derivatives, Journal of the American Statistical Association, vol.105, issue.491, pp.1070-1083, 2010.
DOI : 10.1198/jasa.2010.tm09590

M. D. Cattaneo, R. K. Crump, and M. Jansson, Small Bandwidth Asymptotics for Density-Weighted Average Derivatives, Econometric Theory, 2011.

M. Carrasco and X. Chen, MIXING AND MOMENT PROPERTIES OF VARIOUS GARCH AND STOCHASTIC VOLATILITY MODELS, Econometric Theory, vol.18, issue.1, pp.17-39, 2002.
DOI : 10.1017/S0266466602181023

Y. P. Chaubey and H. Doosti, Wavelet based estimation of the derivatives of a density for m-dependent random variables, Journal of the Iranian Statistical Society, vol.4, issue.2, pp.97-105, 2005.

Y. P. Chaubey, H. Doosti, P. Rao, and B. L. , Wavelet based estimation of the derivatives of a density with associated variables, International Journal of Pure and Applied Mathematics, issue.1, pp.27-97, 2006.

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

M. Coppejans and H. Sieg, Kernel Estimation of Average Derivatives and Differences, Journal of Business & Economic Statistics, vol.23, issue.2, pp.211-225, 2005.
DOI : 10.1198/073500104000000497

I. Daubechies, Ten Lectures on Wavelets. CBMS-NSF regional conferences series in applied mathematics, 1992.

Y. Davydov, The Invariance Principle for Stationary Processes, Theory of Probability & Its Applications, vol.15, issue.3, pp.498-509, 1970.
DOI : 10.1137/1115050

A. Deaton and S. Ng, Parametric and Nonparametric Approaches to Price and Tax Reform, Journal of the American Statistical Association, vol.78, issue.443, pp.900-909, 1998.
DOI : 10.2307/3180361

P. Doukhan, Mixing. Properties and Examples, Lecture Notes in Statistics, vol.85, 1994.

P. Fryzlewicz, S. Rao, and S. , Mixing properties of ARCH and time-varying ARCH processes, Bernoulli, vol.17, issue.1, pp.320-346, 2011.
DOI : 10.3150/10-BEJ270

W. Härdle and T. M. Stoker, Investigating Smooth Multiple Regression by the Method of Average Derivatives, Journal of the American Statistical Association, vol.84, issue.408, pp.986-995, 1989.
DOI : 10.2307/2290074

W. Härdle, W. Hildenbrand, and M. Jerison, Empirical Evidence on the Law of Demand, Econometrica, vol.59, issue.6, pp.1525-1549, 1991.
DOI : 10.2307/2938277

W. Härdle, J. Hart, J. S. Marron, and A. B. Tsybakov, Bandwidth Choice for Average Derivative Estimation, Journal of the American Statistical Association, vol.87, issue.417, pp.417-218, 1992.
DOI : 10.2307/2290472

W. Härdle and A. B. Tsybakov, How sensitive are average derivatives?, Journal of Econometrics, vol.58, issue.1-2, pp.31-48, 1993.
DOI : 10.1016/0304-4076(93)90112-I

W. Härdle, G. Kerkyacharian, D. Picard, and A. Tsybakov, Wavelet, Approximation and Statistical Applications, Lectures Notes in Statistics, vol.129, 1998.

A. N. Kolmogorov and Y. A. Rozanov, On Strong Mixing Conditions for Stationary Gaussian Processes, Theory of Probability & Its Applications, vol.5, issue.2, pp.204-208, 1960.
DOI : 10.1137/1105018

H. Lütkepohl, Multiple Time Series Analysis, 1992.

S. Mallat, A wavelet tour of signal processing, With contributions from Gabriel Peyré, 2009.

J. S. Marron, S. Adak, I. M. Johnstone, M. H. Neumann, and P. Patil, Exact risk analysis of wavelet regression, J. Comput. Graph. Statist, vol.7, pp.278-309, 1998.

R. L. Matzkin, Nonparametric identification, in Handbook of Econometrics, pp.5307-5368, 2007.

Y. Meyer, Wavelets and Operators, 1992.

J. L. Powell, J. H. Stock, and T. M. Stoker, Semiparametric Estimation of Index Coefficients, Econometrica, vol.57, issue.6, pp.1403-1430, 1989.
DOI : 10.2307/1913713

J. L. Powell, Estimation of Semiparametric Models, in Handbook of Econometrics, pp.2443-2521, 1994.

J. L. Powell and T. M. Stoker, Optimal bandwidth choice for density-weighted averages, Journal of Econometrics, vol.75, issue.2, pp.291-316, 1996.
DOI : 10.1016/0304-4076(95)01761-5

P. Rao and B. L. , Consistent estimation of density-weighted average derivative by orthogonal series method, Statistics and Probability Letters, vol.22, pp.205-212, 1995.

P. Rao and B. L. , Nonparametric estimation of the derivatives of a density by the method of wavelets, Bull. Inform. Cyb, vol.28, pp.91-101, 1996.

P. Reynaud-bouret, V. Rivoirard, and C. Tuleau-malot, Adaptive density estimation: A curse of support?, Journal of Statistical Planning and Inference, vol.141, issue.1, pp.115-139, 2011.
DOI : 10.1016/j.jspi.2010.05.017

URL : https://hal.archives-ouvertes.fr/hal-00634421

M. Rosenblatt, A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION, Proc. Nat. Ac. Sc. USA, pp.43-47, 1956.
DOI : 10.1073/pnas.42.1.43

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. Schafgans and V. Zinde-walsh, Smoothness adaptive average derivative estimation, Econometrics Journal, vol.74, issue.1, pp.40-62, 2010.
DOI : 10.1111/j.1368-423X.2009.00300.x

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.212.3121

Q. Shao, Maximal Inequalities for Partial Sums of $\rho$-Mixing Sequences, The Annals of Probability, vol.23, issue.2, pp.948-965, 1995.
DOI : 10.1214/aop/1176988297

T. M. Stoker, Consistent Estimation of Scaled Coefficients, Econometrica, vol.54, issue.6, pp.1461-1481, 1986.
DOI : 10.2307/1914309

T. M. Stoker, Tests of Additive Derivative Constraints, The Review of Economic Studies, vol.56, issue.4, pp.535-552, 1989.
DOI : 10.2307/2297499

T. M. Stoker, Equivalence of Direct, Indirect and Slope Estimators of Average Derivatives, Nonparametric and Semiparametric Methods in Econometrics and Statistics, 1991.

B. A. Türlach, Fast implementation of density-weighted average derivative estimation, Computationally Intensive Statistical Methods, vol.26, pp.28-33, 1994.

H. White and I. Domowitz, Nonlinear Regression with Dependent Observations, Econometrica, vol.52, issue.1, pp.143-162, 1984.
DOI : 10.2307/1911465

B. Vidakovic, Statistical Modeling by Wavelets, 1999.
DOI : 10.1002/9780470317020

L. Zhengyan and C. Lu, Limit Theory for Mixing Dependent Random Variables, 1996.