Skip to main content
SpringerLink
Log in
Book cover

Wavelets and Statistics

  • Book
  • © 1995

Overview

Editors:
  1. Anestis Antoniadis

    1. Laboratoire IMAG-LMC, University Joseph Fourier, Grenoble Cedex, France

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Georges Oppenheim

    1. Laboratoire MSS, University Paris-Sud, Orsay Cedex, France

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Statistics (LNS, volume 103)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 89.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 119.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (24 chapters)

  1. Front Matter

    Pages ii-4
    Download chapter PDF

  2. Thresholding of Wavelet Coefficients as Multiple Hypotheses Testing Procedure

    • Felix Abramovich, Yoav Benjamini
    Pages 5-14

  3. Wavelets, spectrum analysis and 1/f processes

    • Patrice Abry, Paulo Gonçalvès, Patrick Flandrin
    Pages 15-29

  4. Variance Function Estimation in Regression by Wavelet Methods

    • Anestis Antoniadis, Christian Lavergne
    Pages 31-42

  5. Locally Self Similar Gaussian Processes

    • A. Benassi
    Pages 43-54

  6. WaveLab and Reproducible Research

    • Jonathan B. Buckheit, David L. Donoho
    Pages 55-81

  7. Extrema Reconstructions and Spline Smoothing: Variations on an Algorithm of Mallat & Zhong

    • René A. Carmona
    Pages 83-94

  8. Identification of Chirps with Continuous Wavelet Transform

    • René Carmona, Wen Liang Hwang, Bruno Torrésani
    Pages 95-108

  9. Nonlinear Approximation of Stochastic Processes

    • Albert Cohen, Jean-Pierre d’Ales
    Pages 109-123

  10. Translation-Invariant De-Noising

    • R. R. Coifman, D. L. Donoho
    Pages 125-150

  11. Estimating Wavelet Coefficients

    • Bernard Delyon, Anatoli Juditsky
    Pages 151-168

  12. Nonparametric Supervised Image Segmentation by Energy Minimization using Wavelets

    • Jacques Istas
    Pages 169-192

  13. On the Statistics of Best Bases Criteria

    • H. Krim, J.-C. Pesquet
    Pages 193-207

  14. Discretized Wavelet Density Estimators for Continuous Time Stochastic Processes

    • Frédérique Leblanc
    Pages 209-224

  15. Wavelets and Markov Random Fields in a Bayesian Framework

    • Maurits Malfait, Dirk Roose
    Pages 225-238

  16. Micronde: a Matlab Wavelet Toolbox for Signals and Images

    • Yves Misiti, Michel Misiti, Georges Oppenheim, Jean-Michel Poggi
    Pages 239-259

  17. Choice of the Threshold Parameter in Wavelet Function Estimation

    • G. P. Nason
    Pages 261-280

  18. The Stationary Wavelet Transform and some Statistical Applications

    • G. P. Nason, B. W. Silverman
    Pages 281-299

  19. Wavelet Thresholding: Beyond the Gaussian I.I.D. Situation

    • Michael H. Neumann, Rainer von Sachs
    Pages 301-329

  20. L 2(0,1) Weak Convergence of the Empirical Process for Dependent Variables

    • Paulo Oliveira, Charles Suquet
    Pages 331-344
Back to top

Keywords

About this book

Despite its short history, wavelet theory has found applications in a remarkable diversity of disciplines: mathematics, physics, numerical analysis, signal processing, probability theory and statistics. The abundance of intriguing and useful features enjoyed by wavelet and wavelet packed transforms has led to their application to a wide range of statistical and signal processing problems. On November 16-18, 1994, a conference on Wavelets and Statistics was held at Villard de Lans, France, organized by the Institute IMAG-LMC, Grenoble, France. The meeting was the 15th in the series of the Rencontres Pranco-Belges des 8tatisticiens and was attended by 74 mathematicians from 12 different countries. Following tradition, both theoretical statistical results and practical contributions of this active field of statistical research were presented. The editors and the local organizers hope that this volume reflects the broad spectrum of the conference. as it includes 21 articles contributed by specialists in various areas in this field. The material compiled is fairly wide in scope and ranges from the development of new tools for non parametric curve estimation to applied problems, such as detection of transients in signal processing and image segmentation. The 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. Several articles of this volume are directly or indirectly concerned with several as­ pects of wavelet-based function estimation and signal denoising.

Editors and Affiliations

  • Laboratoire IMAG-LMC, University Joseph Fourier, Grenoble Cedex, France

    Anestis Antoniadis

  • Laboratoire MSS, University Paris-Sud, Orsay Cedex, France

    Georges Oppenheim

Bibliographic Information

  • Book Title: Wavelets and Statistics

  • Editors: Anestis Antoniadis, Georges Oppenheim

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-2544-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York 1995

  • Softcover ISBN: 978-0-387-94564-4Published: 27 July 1995

  • eBook ISBN: 978-1-4612-2544-7Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: VI, 414

  • Number of Illustrations: 27 b/w illustrations

  • Topics: Probability Theory and Stochastic Processes

Publish with us

Policies and ethics

Back to top

Search

Navigation