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math.ST2009
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…
math.ST2009
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…
math.ST2009★ 4 cited
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…