Wavelets, approximation, and statistical applications
By: Wolfgang Härdle ... [et al.].
Contributors: Härdle, Wolfgang.
Series: Lecture notes in statistics ;; 129; Lecture notes in statistics (Springer-Verlag) ;; v. 129.
Publisher: Springer
Published: 1998
Place of publication: New York
Language: eng
Number of pages: 265
Subjects: Wavelets (Mathematics); Approximation theory.; Nonparametric statistics.
Description: The mathematical theory of wavelets was developed by Yves Meyer and many collaborators about ten years ago. It was designed for approximation of possibly irregular functions and surfaces and was successfully applied in data compression, turbulence analysis, and image and signal processing. Five years ago wavelet theory progressively appeared to be a powerful framework for nonparametric statistical problems. Efficient computation implementations are beginning to surface in the nineties.

This book brings together these three streams of wavelet theory and introduces the novice in this field to these aspects. Readers interested in the theory and construction of wavelets will find in a condensed form results that are scattered in the research literature. A practitioner will be able to use wavelets via the available software code.
Notes: Includes bibliographical references (p. 248-259) and indexes.