Titlebook: Wavelets, Approximation, and Statistical Applications; Wolfgang Härdle,Gerard Kerkyacharian,Alexander Tsy Book 1998 Springer-Verlag New Yo

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Statistical estimation using wavelets,proximation is both in frequency and space. In this chapter we consider the problem of nonparametric statistical estimation of a function . in .(.) by wavelet methods. We study the density estimation and nonparametric regression settings. We also present empirical results of wavelet smoothing.

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Wavelet thresholding and adaptation, thresholding for density estimation problems. Finally, we consider the data-driven methods of selecting the wavelet basis, the threshold value and the initial resolution level, based on Stein’s principle. We finish by a discussion of oracle inequalities and miscellaneous related topics.

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Wolfgang Härdle,Gerard Kerkyacharian,Dominique Picard,Alexander Tsybakov

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Wolfgang Härdle,Gerard Kerkyacharian,Dominique Picard,Alexander Tsybakov

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Wolfgang Härdle,Gerard Kerkyacharian,Dominique Picard,Alexander Tsybakov

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