This paper concerns wavelet regression using a block thresholding procedure. Block thresholding methods utilize neighboring wavelet coefficients information to increase estimation accuracy. We propose to construct a data-driven block thresholding procedure using the Smoothly Clipped Absolute Deviation (SCAD) penalty. A simulation study demonstrates competitive finite sample performance of the proposed estimator compared to existing methods. We also show that the proposed estimator achieves optimal convergence rates in Besov spaces.

TR Number: 
2010-02
Cheolwoo Park
Key Words: 
Besov space; Block thresholding; Convergence rates; Smoothly clipped absolute deviation penalty; Wavelet regression.

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