Abstract
A wavelet is, as the name suggests, a small wave. Many statistical phenomena have wavelet structure. Often small bursts of high frequency wavelets are followed by lower frequency waves or vice versa. The theory of wavelet reconstruction helps to localize and identify such accumulations of small waves and helps thus to better understand reasons for these phenomena. Wavelet theory is different from Fourier analysis and spectral theory since it is based on a local frequency representation.
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© 1998 Springer-Verlag New York, Inc.
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Härdle, W., Kerkyacharian, G., Picard, D., Tsybakov, A. (1998). Wavelets. In: Wavelets, Approximation, and Statistical Applications. Lecture Notes in Statistics, vol 129. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2222-4_1
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DOI: https://doi.org/10.1007/978-1-4612-2222-4_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98453-7
Online ISBN: 978-1-4612-2222-4
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