Free software:

http://www-stat.stanford.edu/~wavelab/

References to assigned topic:

Bruce, Andrew G.; Gao, Hong-Ye Understanding WaveShrink: variance and bias estimation. Biometrika 83 (1996), no. 4, 727--745.

Daubechies, Ingrid, Ed. Different perspectives on wavelets. Papers from the American Mathematical Society Short Course held in San Antonio, Texas, January 11--12, 1993. Edited by Ingrid Daubechies. Proceedings of Symposia in Applied Mathematics, 47. American Mathematical Society, Providence, RI, 1993.

Daubechies, Ingrid Ten lectures on wavelets. CBMS-NSF Regional Conference Series in Applied Mathematics, 61. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1992.

Donoho, David L.; Johnstone, Iain M. Asymptotic minimaxity of wavelet estimators with sampled data. Statist. Sinica 9 (1999), no. 1, 1--32.

Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique Density estimation by wavelet thresholding. Ann. Statist. 24 (1996), no. 2, 508--539.

Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique Wavelet shrinkage: asymptopia? With discussion and a reply by the authors. J. Roy. Statist. Soc. Ser. B 57 (1995), no. 2, 301--369.

Donoho, David L. Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Appl. Comput. Harmon. Anal. 2 (1995), no. 2, 101--126.

Donoho, David L.; Yu, Thomas P.-Y. Nonlinear pyramid transforms based on median-interpolation. SIAM J. Math. Anal. 31 (2000), no. 5, 1030--1061

Grama, Ion; Nussbaum, Michael Asymptotic equivalence for nonparametric generalized linear models. Probab. Theory Related Fields 111 (1998), no. 2, 167--214.

Hall, Peter; Patil, Prakash On the choice of smoothing parameter, threshold and truncation in nonparametric regression by non-linear wavelet methods. J. Roy. Statist. Soc. Ser. B 58 (1996), no. 2, 361--377.

Härdle, Wolfgang; Kerkyacharian, Gerard; Picard, Dominique; Tsybakov, Alexander Wavelets, approximation, and statistical applications. Lecture Notes in Statistics, 129. Springer-Verlag, New York, 1998.

Jaffard, Stéphane; Meyer, Yves; Ryan, Robert D. Wavelets. Tools for science and technology. Revised edition. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2001.

Mallat, Stéphane A wavelet tour of signal processing. Academic Press, Inc., San Diego, CA, 1998

Mallat, Stephane G. Multiresolution approximations and wavelet orthonormal bases of $L\sp 2(R)$. Trans. Amer. Math. Soc. 315 (1989), no. 1, 69--87.

Meyer, Yves Wavelets. Algorithms and applications. Translated from the French and with a foreword by Robert D. Ryan. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1993

Meyer, Yves Wavelets and operators. Translated from the 1990 French original by D. H. Salinger. Cambridge Studies in Advanced Mathematics, 37. Cambridge University Press, Cambridge, 1992.

Neumann, M. H.; Spokoiny, V. G. On the efficiency of wavelet estimators under arbitrary error distributions. Math. Methods Statist. 4 (1995), no. 2, 137--166.

Nussbaum, Michael Asymptotic equivalence of density estimation and Gaussian white noise. Ann. Statist. 24 (1996), no. 6, 2399--2430.

Picard, Dominique(F-PARIS6-PMA); Tribouley, Karine(F-PARIS11) Adaptive confidence interval for pointwise curve estimation. (English. English summary) Ann. Statist. 28 (2000), no. 1, 298--335

Spokoiny, V. G. Adaptive hypothesis testing using wavelets. Ann. Statist. 24 (1996), no. 6, 2477--2498.

Strang, Gilbert; Nguyen, Truong Wavelets and filter banks. Wellesley-Cambridge Press, Wellesley, MA, 1996.

Vidakovic, Brani Statistical modeling by wavelets. Wiley Series in Probability and Statistics: Applied Probability and Statistics. A Wiley-Interscience Publication. John Wiley and Sons, Inc., New York, 1999.

Wolfowitz, J. Minimax estimates of the mean of a normal distribution with known variance. Ann. Math. Statistics 21, (1950). 218--230.

Odd Kolbjørnsen <ok@nr.no> Last modified: Wed Jun 12 15:26:31 MEST 2002