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Variance and exponential estimates via coupling
Authors:Pierre Collet
Institution:(1) Centre de Physique Théorique, CNRS UMR 7644 Ecole Polytechnique, F-91128 Palaiseau Cedex, FRANCE
Abstract:We give a proof of Devroye and exponential inequalities based on a coupling. We mostly deal with the case of continuous random variables with dynamical systems in mind (and their rather special mixing properties) although the approach is more general.
Keywords:concentration inequalities  moments ineqqualities  large deviations
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