Wavelets and statistics. Proceedings of the 15th French-Belgian meeting of statisticians, held at Villard de Lans, France, November 16-18, 1994
type: Item
instance of: scholarly article
title: Wavelets and statistics. Proceedings of the 15th French-Belgian meeting of statisticians, held at Villard de Lans, France, November 16-18, 1994
zbMATH Open document ID: 0824.00042
published in: Lecture Notes in Statistics
publication date: 1995-09-19T00:00:00Z
review text: The articles of this volume will be reviewed individually. From the preface: Several articles of this volume are directly or indirectly concerned with several aspects of wavelet-based function estimation and signal denoising. Topics such as adaptative thresholding of wavelet coefficients, cross-validation and application of the stationary wavelet transform as an exploratory statistical method, together with their potential use in nonparametric regression, density estimation, and local spectral density estimation are discussed. Nonlinear approximation methods based on wavelet and wavelet packet decompositions have been studied both in the context of statistics, compression, image analysis and signal processing algorithms, such as best basis selection and adaptive time-frequency decomposition. Many contributions are related to this topic. Wavelet-based curve estimation methods have often been criticized for not being developed to handle nonuniform designs for predictors, heteroscedasticity for responses and non-i.i.d. situations. These problems are covered in several papers of this volume, as is the use of wavelet transforms for studying the spectrum analysis of \(1/f\) processes and establishing limit theorems for stochastic processes. In addition to these articles on wavelet analysis and its applications in statistics and probability, three articles on software implementations for wavelet analysis, wavelet-packet analysis, cosine-packet analysis, and matching pursuit are included in these notes. The 24 articles are arranged in alphabetical order by author rather than subject matter. However, to help the reader, a subjective classification of the articles is provided at the end of the book. Indexed articles: \textit{Abramovich, Felix; Benjamini, Yoav}, Thresholding of wavelet coefficients as multiple hypotheses testing procedure, 5-14 [Zbl 0875.62081] \textit{Abry, Patrice; Gonçalvès, Paulo; Flandrin, Patrick}, Wavelets, spectrum analysis and \(1/f\) processes, 15-29…
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 62-06
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 798050
zbMATH Keywords: Wavelets
zbMATH Keywords: Statistics
zbMATH Keywords: Proceedings
zbMATH Keywords: Conference
zbMATH Keywords: Villard de Lans (France)
zbMATH Keywords: Statisticians
describes a project that uses: MICRONDE
describes a project that uses: Matlab
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 798050