57 citations · 61 across the 5 of their papers we have counts for
7 papers
A Bernstein-type inequality for suprema of random processes with applications to model selection in non-Gaussian regression
Yannick Baraud
Let $\pa{X_{t}}_{t\in T}$ be a family of real-valued centered random variables indexed by a countable set . In the first part of this paper, we establish exponential bounds for…
Estimator selection with respect to Hellinger-type risks
Yannick Baraud
We observe a random measure and aim at estimating its intensity . This statistical framework allows to deal simultaneously with the problems of estimating a density, the mar…
A Bernstein-type inequality for suprema of random processes with an application to statistics
Yannick Baraud
We use the generic chaining device proposed by Talagrand to establish exponential bounds on the deviation probability of some suprema of random processes. Then, given a random vect…
Gaussian model selection with an unknown variance
Yannick Baraud, Christophe Giraud, Sylvie Huet
Let be a Gaussian vector whose components are independent with a common unknown variance. We consider the problem of estimating the mean of by model selection. More pre…
Estimating the intensity of a random measure by histogram type estimators
Yannick Baraud, Lucien Birgé
The purpose of this paper is to estimate the intensity of some random measure by a piecewise constant function on a finite partition of the underlying measurable space. Given a (po…
Testing convex hypotheses on the mean of a Gaussian vector. Application to testing qualitative hypotheses on a regression function
Yannick Baraud, Sylvie Huet, Beatrice Laurent
In this paper we propose a general methodology, based on multiple testing, for testing that the mean of a Gaussian vector in R^n belongs to a convex set. We show that the test achi…