Probabilities of randomly centered small balls and quantization in Banach spaces
arXiv:math/0402220 · doi:10.1214/009117905000000161
Abstract
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)