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

55 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

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10.1007/s00440-003-0329-4

Cite this

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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",

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JO - Probability Theory and Related Fields

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On the rate of convergence in the entropic central limit theorem

Abstract

All Science Journal Classification (ASJC) codes

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