EbayesThresh swMATH ID: 11103 Software Authors: Bernard W. Silverman Description: R package EbayesThresh: Empirical Bayes Thresholding and Related Methods. This package carries out Empirical Bayes thresholding using the methods developed by I. M. Johnstone and B. W. Silverman. The basic problem is to estimate a mean vector given a vector of observations of the mean vector plus white noise, taking advantage of possible sparsity in the mean vector. Within a Bayesian formulation, the elements of the mean vector are modelled as having, independently, a distribution that is a mixture of an atom of probability at zero and a suitable heavy-tailed distribution. The mixing parameter can be estimated by a marginal maximum likelihood approach. This leads to an adaptive thresholding approach on the original data. Extensions of the basic method, in particular to wavelet thresholding, are also implemented within the package. Homepage: http://cran.r-project.org/web/packages/EbayesThresh/index.html Source Code: https://github.com/cran/EbayesThresh Dependencies: R Related Software: EBayesThresh; R; wavethresh; Mosek; REBayes; Rmosek; Waveslim; GitHub; ebnm; flashier; microbenchmark; trust; deconvolveR; mixsqp; ashr; horseshoe; png; colorRamps; treethresh; CVTresh Cited in: 12 Publications Standard Articles 1 Publication describing the Software Year all top 5 Cited by 20 Authors 2 Johnstone, Iain Murray 2 Silverman, Bernard W. 2 Stephens, Matthew 2 Zhang, Dabao 2 Zhang, Min 1 Bogdan, Małgorzata 1 Carbonetto, Peter 1 Chicken, Eric 1 Clyde, Merlise A. 1 Frommlet, Florian 1 Fryzlewicz, Piotr 1 Lin, Yanzhu 1 McGinnity, K. 1 Park, Junyong 1 Pungpapong, Vitara 1 ter Braak, Cajo J. F. 1 Tu, Chong 1 Varbanov, R. 1 Wolpert, Robert L. 1 Xing, Zhengrong Cited in 5 Serials 4 Electronic Journal of Statistics 3 The Annals of Statistics 2 Computational Statistics and Data Analysis 2 Journal of Machine Learning Research (JMLR) 1 Statistics & Probability Letters Cited in 4 Fields 10 Statistics (62-XX) 3 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Citations by Year