Probabilities of randomly centered small balls and quantization in Banach spaces

Details Probabilities of randomly centered small balls and quantization in Banach spaces Probabilities of randomly centered small balls and quantization in Banach spaces

2004-02-13

arxiv.org/abs/math/0402220v2

Annals of Probability 2005, Vol. 33, No. 4, 1397-1421

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117905000000161 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117905000000161

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.

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