Wavelet deconvolution

@article{Fan2002WaveletD,
  title={Wavelet deconvolution},
  author={Jianqing Fan and Ja-Yong Koo},
  journal={IEEE Trans. Information Theory},
  year={2002},
  volume={48},
  pages={734-747}
}
This paper studies the issue of optimal deconvolution density estimation using wavelets. The approach taken here can be considered as orthogonal series estimation in the more general context of the density estimation. We explore the asymptotic properties of estimators based on thresholding of estimated wavelet coefficients. Minimax rates of convergence under the integrated square loss are studied over Besov classes Bσpq of functions for both ordinary smooth and supersmooth convolution kernels… CONTINUE READING
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