57 citations · 61 across the 4 of their papers we have counts for
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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…