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Probabilities of randomly centered small balls and quantization in banach spaces. / Dereich, S.; Lifshits, M. A.

In: Annals of Probability, Vol. 33, No. 4, 01.07.2005, p. 1397-1421.

Research output: Contribution to journal › Article › peer-review

Harvard

Dereich, S & Lifshits, MA 2005, 'Probabilities of randomly centered small balls and quantization in banach spaces', Annals of Probability, vol. 33, no. 4, pp. 1397-1421. https://doi.org/10.1214/009117905000000161

APA

Dereich, S., & Lifshits, M. A. (2005). Probabilities of randomly centered small balls and quantization in banach spaces. Annals of Probability, 33(4), 1397-1421. https://doi.org/10.1214/009117905000000161

Vancouver

Dereich S, Lifshits MA. Probabilities of randomly centered small balls and quantization in banach spaces. Annals of Probability. 2005 Jul 1;33(4):1397-1421. https://doi.org/10.1214/009117905000000161

Author

Dereich, S. ; Lifshits, M. A. / Probabilities of randomly centered small balls and quantization in banach spaces. In: Annals of Probability. 2005 ; Vol. 33, No. 4. pp. 1397-1421.

BibTeX

@article{156683f79dc140b39037c07aa9b68aad,
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",
month = jul,
day = "1",
doi = "10.1214/009117905000000161",
language = "English",
volume = "33",
pages = "1397--1421",
journal = "Annals of Probability",
issn = "0091-1798",
publisher = "Institute of Mathematical Statistics",
number = "4",

}

RIS

TY - JOUR

T1 - Probabilities of randomly centered small balls and quantization in banach spaces

AU - Dereich, S.

AU - Lifshits, M. A.

PY - 2005/7/1

Y1 - 2005/7/1

N2 - 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.

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

KW - High-resolution quantization

KW - Small ball probabilities

KW - Small deviations

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

U2 - 10.1214/009117905000000161

DO - 10.1214/009117905000000161

M3 - Article

AN - SCOPUS:23244464008

VL - 33

SP - 1397

EP - 1421

JO - Annals of Probability

JF - Annals of Probability

SN - 0091-1798

IS - 4

ER -

ID: 37010552