40 citations · 73 across the 4 of their papers we have counts for
5 papers
Risk quantification for the thresholding rule for multiple testing using Gaussian scale mixtures
Jean-Bernard Salomond
In this paper we study the asymptotic properties of Bayesian multiple testing procedures for a large class of Gaussian scale mixture pri- ors. We study two types of multiple testin…
Conditions for Posterior Contraction in the Sparse Normal Means Problem
Stéphanie van der Pas, Jean-Bernard Salomond, Johannes Schmidt-Hieber
The first Bayesian results for the sparse normal means problem were proven for spike-and-slab priors. However, these priors are less convenient from a computational point of view.…
A general approach to posterior contraction in nonparametric inverse problems
Bartek Knapik, Jean-Bernard Salomond
In this paper we propose a general method to derive an upper bound for the contraction rate of the posterior distribution for nonparametric inverse problems. We present a general t…
Testing Un-Separated Hypotheses by Estimating a Distance
Jean-Bernard Salomond
In this paper we propose a Bayesian answer to testing problems when the hypotheses are not well separated. The idea of the method is to study the posterior distribution of a discre…
Concentration rate and consistency of the posterior under monotonicity constraints
Jean-Bernard Salomond
In this paper, we consider the well known problem of estimating a density function under qualitative assumptions. More precisely, we estimate monotone non increasing densities in a…