Probabilities of randomly centered small balls and quantization in banach spaces

S. Dereich; M. A. Lifshits

doi:10.1214/009117905000000161

Probabilities of randomly centered small balls and quantization in banach spaces

S. Dereich, M. A. Lifshits

Факультет математико-механический

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 language	English
Pages (from-to)	1397-1421
Number of pages	25
Journal	Annals of Probability
Volume	33
Issue number	4
DOIs	https://doi.org/10.1214/009117905000000161
Publication status	Published - 1 Jul 2005

Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1214/009117905000000161

http://www.scopus.com/inward/record.url?scp=23244464008&partnerID=8YFLogxK

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title = "Probabilities of randomly centered small balls and quantization in banach spaces",

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 = "Asymptotic equipartition property, High-resolution quantization, Small ball probabilities, Small deviations",

author = "S. Dereich and Lifshits, {M. A.}",

year = "2005",

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AB - 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.

KW - Asymptotic equipartition property

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KW - Small ball probabilities

KW - Small deviations

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DO - 10.1214/009117905000000161

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JO - Annals of Probability

JF - Annals of Probability

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