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Journal of the American Statistical Association Volume 93, 1998 - Issue 441
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Theory and Method

Nonlinear Wavelet Shrinkage with Bayes Rules and Bayes Factors

Brani Vidakovic Institute of Statistics and Decision Sciences, Duke University, Durham, NC, 27708, USA
Pages 173-179 | Received 01 Oct 1994, Published online: 17 Feb 2012
 
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Abstract

Wavelet shrinkage, the method proposed by the seminal work of Donoho and Johnstone is a disarmingly simple and efficient way of denoising data. Shrinking wavelet coefficients was proposed from several optimality criteria. In this article a wavelet shrinkage by coherent Bayesian inference in the wavelet domain is proposed. The methods are tested on standard Donoho-Johnstone test functions.

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