On the rate of convergence in the entropic central limit theorem

Shiri Artstein; Keith M. Ball; Franck Barthe; Assaf Naor

doi:10.1007/s00440-003-0329-4

On the rate of convergence in the entropic central limit theorem

Shiri Artstein
, Keith M. Ball
, Franck Barthe
, Assaf Naor

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

56 Scopus citations

Abstract

We study the rate at which entropy is produced by linear combinations of independent random variables which satisfy a spectral gap condition.

Original language	English (US)
Pages (from-to)	381-390
Number of pages	10
Journal	Probability Theory and Related Fields
Volume	129
Issue number	3
DOIs	https://doi.org/10.1007/s00440-003-0329-4
State	Published - Jul 2004
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1007/s00440-003-0329-4

Cite this

@article{46c7953347bd47bb91bd1ffe8af32c3b,

title = "On the rate of convergence in the entropic central limit theorem",

abstract = "We study the rate at which entropy is produced by linear combinations of independent random variables which satisfy a spectral gap condition.",

author = "Shiri Artstein and Ball, \{Keith M.\} and Franck Barthe and Assaf Naor",

year = "2004",

month = jul,

doi = "10.1007/s00440-003-0329-4",

language = "English (US)",

volume = "129",

pages = "381--390",

journal = "Probability Theory and Related Fields",

issn = "0178-8051",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - On the rate of convergence in the entropic central limit theorem

AU - Artstein, Shiri

AU - Ball, Keith M.

AU - Barthe, Franck

AU - Naor, Assaf

PY - 2004/7

Y1 - 2004/7

N2 - We study the rate at which entropy is produced by linear combinations of independent random variables which satisfy a spectral gap condition.

AB - We study the rate at which entropy is produced by linear combinations of independent random variables which satisfy a spectral gap condition.

UR - https://www.scopus.com/pages/publications/3042730174

UR - https://www.scopus.com/pages/publications/3042730174#tab=citedBy

U2 - 10.1007/s00440-003-0329-4

DO - 10.1007/s00440-003-0329-4

M3 - Article

AN - SCOPUS:3042730174

SN - 0178-8051

VL - 129

SP - 381

EP - 390

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

IS - 3

ER -

On the rate of convergence in the entropic central limit theorem

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this