Integer-Valued Designs and Wavelet Versions Of Nonparametric Curve Estimators

by Alwell J. Oyet and Li Mei Sun .

Abstract: Wavelet versions of nonparametric curve estimators and weighted least squares wavelet regression are discussed. We introduce a modified version of the Gasser-Muller estimator. We use the modified version to construct integer-valued designs for nonparametric curve estimation using the simulated annealing algorithm. Our examples involve the Haar, Daubechies and multiwavelet systems.

Key Words: Daubechies Wavelet; Gasser-Muller Estimator; Simulated Annealing; Thresholding

Alwell J. Oyet,
Mei Sun,

Editor: Wei-Min Huang ,

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