Random design wavelet curve smoothing
Common wavelet-based methods for nonparametric regression estimation are difficult to apply when the design is random. This paper proposes a modification of the linear wavelet estimator, called the binned wavelet estimator leading to a fast method with asymptotic properties identical with those of linear wavelet estimators under a fixed equidistant design.
| Year of publication: |
1997
|
|---|---|
| Authors: | Antoniadis, A. ; Grégoire, G. ; Vial, P. |
| Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 35.1997, 3, p. 225-232
|
| Publisher: |
Elsevier |
| Keywords: | Wavelets Multiresolution analysis Nonparametric regression estimation Binning Random design Nadaraya-Watson estimate |
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