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Variance and exponential estimates via coupling

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Bulletin of the Brazilian Mathematical Society Aims and scope Submit manuscript

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.

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Authors and Affiliations

  1. Centre de Physique Théorique, CNRS UMR 7644 Ecole Polytechnique, F-91128, Palaiseau Cedex, FRANCE

    Pierre Collet

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  1. Pierre Collet
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Correspondence to Pierre Collet.

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Collet, P. Variance and exponential estimates via coupling. Bull Braz Math Soc, New Series 37, 461–475 (2006). https://doi.org/10.1007/s00574-006-0022-1

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  • DOI: https://doi.org/10.1007/s00574-006-0022-1

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