Probabilities of randomly centered small balls and quantization in banach spaces

S. Dereich, M. A. Lifshits

Research output

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1397-1421
Number of pages25
JournalAnnals of Probability
Volume33
Issue number4
DOIs
Publication statusPublished - 1 Jul 2005

Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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