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Wavelets and Statistics

  • Anestis Antoniadis
  • Georges Oppenheim

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

Table of contents

  1. Front Matter
    Pages ii-4
  2. Patrice Abry, Paulo Gonçalvès, Patrick Flandrin
    Pages 15-29
  3. Anestis Antoniadis, Christian Lavergne
    Pages 31-42
  4. Jonathan B. Buckheit, David L. Donoho
    Pages 55-81
  5. René Carmona, Wen Liang Hwang, Bruno Torrésani
    Pages 95-108
  6. Albert Cohen, Jean-Pierre d’Ales
    Pages 109-123
  7. R. R. Coifman, D. L. Donoho
    Pages 125-150
  8. Bernard Delyon, Anatoli Juditsky
    Pages 151-168
  9. H. Krim, J.-C. Pesquet
    Pages 193-207
  10. Maurits Malfait, Dirk Roose
    Pages 225-238
  11. Yves Misiti, Michel Misiti, Georges Oppenheim, Jean-Michel Poggi
    Pages 239-259
  12. G. P. Nason, B. W. Silverman
    Pages 281-299
  13. Michael H. Neumann, Rainer von Sachs
    Pages 301-329
  14. Rosemary Tate, Des Watson, Stephen Eglen
    Pages 377-383
  15. K. Tribouley
    Pages 385-395
  16. Qinghua Zhang
    Pages 397-407
  17. Back Matter
    Pages 409-410

About this book

Introduction

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.

Keywords

Gaussian process Hypothese Markov random field Rang Variance Variation statistics stochastic processes

Editors and affiliations

  • Anestis Antoniadis
    • 1
  • Georges Oppenheim
    • 2
  1. 1.Laboratoire IMAG-LMCUniversity Joseph FourierGrenoble CedexFrance
  2. 2.Laboratoire MSSUniversity Paris-SudOrsay CedexFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-2544-7
  • Copyright Information Springer-Verlag New York 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-94564-4
  • Online ISBN 978-1-4612-2544-7
  • Series Print ISSN 0930-0325
  • Buy this book on publisher's site