9.5k citations · 11.1k across the 33 of their papers we have counts for
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math.ST2005★ 346 cited
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★ 8 cited
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★ 44 cited
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…