Wavelet Thresholding via a Bayesian

@inproceedings{Abramovich1996WaveletTV,
  title={Wavelet Thresholding via a Bayesian},
  author={ApproachF. Abramovich and Theofanis Sapatinas and B. W. Silverman},
  year={1996}
}
We discuss a Bayesian formalism which gives rise to a type of wavelet threshold estimation in non-parametric regression. A prior distribution is imposed on the wavelet coeecients of the unknown response function , designed to capture the sparseness of wavelet expansion common to most applications. For the prior speciied, the posterior median yields a thresholding procedure. Our prior model for the underlying function can be adjusted to give functions falling in any speciic Besov space. We… CONTINUE READING
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References

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Non-linear wavelet shrinkage with Bayes rules

  • B. Vidakovic
  • 1994
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The WaveThresh Package: Wavelet Transform

  • G. P. Nason
  • 1993
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