Probabilities of randomly centered small balls and quantization in Banach spaces
Probability
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0402220,
title = {Probabilities of randomly centered small balls and quantization in Banach spaces},
author = {S. Dereich and M. A. Lifshits},
journal= {arXiv preprint arXiv:math/0402220},
year = {2007}
}
Comments
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)