A Berry-Esseen type inequality for convex bodies with an unconditional basis

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We provide a sharp rate of convergence in the central limit theorem for random vectors with an unconditional, log-concave density. The argument relies on analysis of the Neumann laplacian on convex domains and on the theory of optimal transportation of measures.
34 pages, minor revision: Some remarks and explanations were added. To appear in Probab. Theory Related Fields

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Probability, Metric Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/160002

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.0832
 http://arxiv.org/abs/0705.0832

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arXiv