168 citations · 512 across the 5 of their papers we have counts for
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math.ST2005
Empirical Bayes selection of wavelet thresholds
Iain M. Johnstone, Bernard W. Silverman
This paper explores a class of empirical Bayes methods for level-dependent threshold selection in wavelet shrinkage. The prior considered for each wavelet coefficient is a mixture…
math.ST2005
Adapting to Unknown Sparsity by controlling the False Discovery Rate
Felix Abramovich, Yoav Benjamini, David L. Donoho +1
We attempt to recover an -dimensional vector observed in white noise, where is large and the vector is known to be sparse, but the degree of sparsity is unknown. We consider…
math.ST2005
Periodic boxcar deconvolution and diophantine approximation
Iain M. Johnstone, Marc Raimondo
We consider the nonparametric estimation of a periodic function that is observed in additive Gaussian white noise after convolution with a ``boxcar,'' the indicator function of an…