Antoniadis A., Oppenheim G. (Eds.) Wavelets and Statistics

Springer, 1995. — 406 p. — (Lecture Notes in Statistics, Vol. 103). — ISBN: 0387945644, 9781461225447Wavelets theory has found applications in a remarkable diversity of disciplines. The volume presents the proceedings of a conference held at Villard de Lans, France in 1994. Both statistical results and practical contributions were presented. The material is wide in scope and ranges from the development of new tools for nonparametric curve estimation to applied problems such as detection of transients in signal processing and image segmentation.Thresholding of Wavelet Coefficients as Multiple Hypotheses Testing Procedure.- Wavelets, spectrum analysis and 1/f processes.- Variance Function Estimation in Regression by Wavelet Methods.- Locally Self Similar Gaussian Processes.- WaveLab and Reproducible Research.- Extrema Reconstructions and Spline Smoothing: Variations on an Algorithm of Mallat & Zhong.- Identification of Chirps with Continuous Wavelet Transform.- Nonlinear Approximation of Stochastic Processes.- Translation-Invariant De-Noising.- Estimating Wavelet Coefficients.- Nonparametric Supervised Image Segmentation by Energy Minimization using Wavelets.- On the Statistics of Best Bases Criteria.- Discretized Wavelet Density Estimators for Continuous Time Stochastic Processes.- Wavelets and Markov Random Fields in a Bayesian Framework.- Micronde : a MatLAB Wavelet Toolbox for Signals and Images.- Wavelet Function Estimation using Cross-Validation.- The Stationary Wavelet Transform and some Statistical Applications.- Wavelet Thresholding: Beyond the Gaussian I.I.D. Situation.- L2(0,1) Weak Convergence of the Empirical Process for Dependent Variables.- Top-Down and Bottom-Up Tree Search Algorithms for Selecting Bases in Wavelet Packet Transforms.- WavBox 4: A Software Toolbox for Wavelet Transforms and Adaptive Wavelet Packet Decompositions.- Using Wavelets for Classifying Human in vivo Magnetic Resonance.- Adaptive Density Estimation.- Wavelets and Regression Analysis.- Reader’s Guide.