Wavelets, Approximation, and Statistical Applications (Lecture Notes in Statistics) by Wolfgang Hardle
Wavelets, Approximation, and Statistical Applications (Lecture Notes in Statistics) by Wolfgang Hardle
English | Apr 30, 1998 | ISBN: 0387984534 | 284 Pages | PDF | 6 MB
English | Apr 30, 1998 | ISBN: 0387984534 | 284 Pages | PDF | 6 MB
The mathematical theory of ondelettes (wavelets) was developed by Yves Meyer and many collaborators about 10 years ago. It was designed for ap proximation of possibly irregular functions and surfaces and was successfully applied in data compression, turbulence analysis, image and signal process ing. Five years ago wavelet theory progressively appeared to be a power ful framework for nonparametric statistical problems. Efficient computa tional implementations are beginning to surface in this second lustrum of the nineties. This book brings together these three main streams of wavelet theory. It presents the theory, discusses approximations and gives a variety of statistical applications. It is the aim of this text to introduce the novice in this field into the various aspects of wavelets. Wavelets require a highly interactive computing interface. We present therefore all applications with software code from an interactive statistical computing environment.