Regularization of Wavelet Approximations, Journal of the American Statistical Association, vol.96, issue.455, pp.939-967, 2001. ,
DOI : 10.1198/016214501753208942
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
Wavelet shrinkage for nonequispaced samples, Annals of Statistics, vol.26, issue.5, pp.1783-1799, 1998. ,
Wavelet estimation for samples with random uniform design, Statistics and Probability Letters, vol.26, issue.42, pp.313-321, 1999. ,
Non-parametric function estimation via wavelets, 1996. ,
Stationary subdivision, Memoirs of the American Mathematical Society, vol.93, issue.453, 1991. ,
DOI : 10.1090/memo/0453
An algorithm for high-speed curve generation, Computer Graphics and Image Processing, vol.3, issue.4, pp.346-349, 1974. ,
DOI : 10.1016/0146-664X(74)90028-8
Wavelets: a tutorial in theory and applications, 1992. ,
DOI : 10.1137/1.9780898719727
Wavelet methods in Numerical Analysis, volume VII of Handbook of Numerical Analysis, 2000. ,
Biorthogonal bases of compactly supported wavelets, Communications on Pure and Applied Mathematics, vol.10, issue.5, pp.485-560, 1992. ,
DOI : 10.1002/cpa.3160450502
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
Maximal Spaces with Given Rate of Convergence for Thresholding Algorithms, Applied and Computational Harmonic Analysis, vol.11, issue.2, pp.167-191, 2001. ,
DOI : 10.1006/acha.2000.0333
Translation-Invariant De-Noising, Lecture Notes in Statistics, vol.103, pp.125-150, 1995. ,
DOI : 10.1007/978-1-4612-2544-7_9
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.125.3682
Biorthogonal Spline Wavelets on the Interval???Stability and Moment Conditions, Applied and Computational Harmonic Analysis, vol.6, issue.2, pp.132-196, 1999. ,
DOI : 10.1006/acha.1998.0247
Ten lectures on wavelets, SIAM, 1992. ,
DOI : 10.1137/1.9781611970104
Regularity of irregular subdivision . Constructive Approximation, pp.381-426, 1999. ,
Commutation for Irregular Subdivision, Constructive Approximation, vol.17, issue.4, pp.479-514, 2001. ,
DOI : 10.1007/s00365-001-0001-0
Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions, SIAM Journal on Mathematical Analysis, vol.22, issue.5, pp.1388-1410, 1991. ,
DOI : 10.1137/0522089
Factoring wavelet transforms into lifting steps, The Journal of Fourier Analysis and Applications, vol.34, issue.5, pp.247-269, 1998. ,
DOI : 10.1007/BF02476026
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.106.8124
A Practical Guide to Splines, 1978. ,
Smooth design-adapted wavelets for nonparametric stochastic regression. Discussion Paper 0117, 2001. ,
Estimating Wavelet Coefficients, Lecture Notes in Statistics, vol.103, pp.151-168, 1995. ,
DOI : 10.1007/978-1-4612-2544-7_10
On Minimax Wavelet Estimators, Applied and Computational Harmonic Analysis, vol.3, issue.3, pp.215-228, 1996. ,
DOI : 10.1006/acha.1996.0017
Interpolation dyadique, volume Fractals. Dimensions nonentì eres et applications, 1987. ,
Symmetric iterative interpolation processes, Constructive Approximation, vol.114, issue.1, pp.49-68, 1989. ,
DOI : 10.1007/BF01889598
A course in density estimation, 1987. ,
Smooth wavelet decomposition with blocky coefficient kernels. Recent Advances in Wavelet Analysis, pp.1-43, 1993. ,
Ideal spatial adaptation by wavelet shrinkage, Biometrika, vol.81, issue.3, pp.425-455, 1994. ,
DOI : 10.1093/biomet/81.3.425
Wavelet shrinkage: Asymptopia?, J. R. Stat. Soc, vol.57, issue.2, pp.301-369, 1995. ,
Subdivision schemes in computer-aided geometric design Advances in Numerical Analysis Dans Wavelets, Subdivision Algorithms and Radial Basis Functions, pp.36-104, 1992. ,
Analysis of uniform binary subdivision schemes for curve design, Constructive Approximation, vol.39, issue.115, pp.127-147, 1991. ,
DOI : 10.1007/BF01888150
A 4-point interpolatory subdivision scheme for curve design, Computer Aided Geometric Design, vol.4, issue.4, pp.257-268, 1987. ,
DOI : 10.1016/0167-8396(87)90001-X
Interpolating Subdivision Schemes for the Generation of Curves and Surfaces, International Series of Numerical Mathematics, vol.94, pp.91-105, 1990. ,
DOI : 10.1007/978-3-0348-5685-0_6
Analysis of Asymptotically Equivalent Binary Subdivision Schemes, Journal of Mathematical Analysis and Applications, vol.193, issue.2, pp.594-621, 1995. ,
DOI : 10.1006/jmaa.1995.1256
Spline smoothing and nonparametric regression, volume 90 of STATISTICS: textbooks and monographs, 1988. ,
Fourier Analysis of the Finite Element Method in Ritz-Galerkin Theory, Studies in Applied Mathematics, vol.48, issue.3, pp.265-273, 1969. ,
DOI : 10.1002/sapm1969483265
A new class of unbalanced haar wavelets that form an unconditional basis for Lp on general measure spaces, The Journal of Fourier Analysis and Applications, vol.3, issue.3, pp.457-474, 1997. ,
DOI : 10.1007/BF02649107
Interpolation methods for nonlinear wavelet regression with irregularly spaced design. The Annals of Statistics, Wavelets, approximation, and statistical applications, pp.1912-1925, 1997. ,
Ridge Regression: Applications to Nonorthogonal Problems, Technometrics, vol.3, issue.1, pp.69-82, 1970. ,
DOI : 10.2307/1266192
Ridge Regression: Biased Estimation for Nonorthogonal Problems, Technometrics, vol.24, issue.1, pp.55-67, 1970. ,
DOI : 10.2307/1909769
A study of logspline density estimation, Computational Statistics & Data Analysis, vol.12, issue.3, pp.327-347, 1991. ,
DOI : 10.1016/0167-9473(91)90115-I
Logspline density estimation with free knots, pp.98109-1024, 2001. ,
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
Shape Preserving Interpolatory Subdivision Schemes for Nonuniform Data, Journal of Approximation Theory, vol.114, issue.1, pp.1-32, 2002. ,
DOI : 10.1006/jath.2001.3628
URL : http://doi.org/10.1006/jath.2001.3628
On the existence of compactly supported dual wavelets, Appl. Comp. Harm. Anal, vol.3, 1997. ,
Multiresolution approximation and wavelet orthonormal bases of ,
A Wavelet Tour of Signal Processing, 1999. ,
Subdivision schemes and irregular grids. Numerical Algorithms ,
DOI : 10.1023/b:numa.0000016582.07613.38
Orthonormal Wavelet Bases Adapted for Partial Differential Equations with Boundary Conditions, SIAM Journal on Mathematical Analysis, vol.29, issue.4, pp.1040-1065, 1998. ,
DOI : 10.1137/S0036141095295127
Cours de probabilités. CollectionéconomieCollection´Collectionéconomie et statistique avancées, Economica, 1980. ,
Nonparametric estimation of smooth regression functions, Journal of Computer and Systems Sciences, vol.23, issue.6, pp.1-11, 1986. ,
Convergence of stochastic processes, 1984. ,
DOI : 10.1007/978-1-4612-5254-2
Wavelet shrinkage for unequally spaced data, Research Report, vol.41, 1998. ,
Average-interpolating wavelet bases on irregular meshes on the interval, 2000. ,
On the stability of wavelet bases in lifting scheme, 2000. ,
Spline smoothing and optimal rates of convergence in nonparametric regression models. The Annals of Statistics, pp.970-983, 1985. ,
Estimation of the Mean of a Multivariate Normal Distribution, The Annals of Statistics, vol.9, issue.6, pp.1135-1151, 1981. ,
DOI : 10.1214/aos/1176345632
Optimal global rates of convergence for nonparametric regression. The Annals of Statistics, pp.1040-1053, 1982. ,
Large sample inference for log-spline models. The Annals of Statistics, pp.717-741, 1990. ,
DOI : 10.1214/aos/1176347622
Free knot splines in concave extended linear modeling, Journal of Statistical Planning and Inference, vol.108, issue.1-2, pp.219-253, 2002. ,
DOI : 10.1016/S0378-3758(02)00280-X
The Lifting Scheme: A Custom-Design Construction of Biorthogonal Wavelets, Applied and Computational Harmonic Analysis, vol.3, issue.2, pp.186-200, 1996. ,
DOI : 10.1006/acha.1996.0015
The Lifting Scheme: A Construction of Second Generation Wavelets, SIAM Journal on Mathematical Analysis, vol.29, issue.2, pp.511-546, 1998. ,
DOI : 10.1137/S0036141095289051
Quadrature Formulae and Asymptotic Error Expansions for Wavelet Approximations of Smooth Functions, SIAM Journal on Numerical Analysis, vol.31, issue.4, pp.2140-2164, 1994. ,
DOI : 10.1137/0731065
Building your own wavelets at home, Lect. Notes Earth Sci, vol.90, pp.72-130, 2000. ,
DOI : 10.1007/BFb0011093
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.422
Interpolation theory, function spaces, differential operators, 1978. ,
Theory of function spaces II, volume 84 of Monographs in mathematics, 1992. ,
Stabilised wavelet transforms for non-equispaced data smoothing, Signal Processing, vol.82, issue.12, pp.1979-1990, 2002. ,
DOI : 10.1016/S0165-1684(02)00341-9
Binary subdivision schemes over irregular knot sequences Mathematical methods in CAGD III, pp.542-562, 1995. ,