Probabilities of randomly centered small balls and quantization in Banach spaces

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We investigate the Gaussian small ball probabilities with random centers, find their deterministic a.s.-equivalents and establish a relation to infinite-dimensional high-resolution quantization.
Published at http://dx.doi.org/10.1214/009117905000000161 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

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Probability, 60G35, 46F25, 94A15 (Primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/70158

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402220
 http://arxiv.org/abs/math/0402220
 Annals of Probability 2005, Vol. 33, No. 4, 1397-1421
 doi:10.1214/009117905000000161

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arXiv