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Wavelets, Approximation, and Statistical Applications (Paperback, New)
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Wavelets, Approximation, and Statistical Applications (Paperback, New)
Series: Lecture Notes in Statistics, 129
Expected to ship within 10 - 15 working days
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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. Readers interested in theory and construction of
wavelets will find here in a condensed form results that are
somewhat scattered around in the research literature. A practioner
will be able to use wavelets via the available software code. We
hope therefore to address both theory and practice with this book
and thus help to construct bridges between the different groups of
scientists. This te. xt grew out of a French-German cooperation
(Seminaire Paris Berlin, Seminar Berlin-Paris). This seminar brings
together theoretical and applied statisticians from Berlin and
Paris. This work originates in the first of these seminars
organized in Garchy, Burgundy in 1994."
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