On the rate of convergence in the entropic central limit theorem

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

Research output: Contribution to journalArticle

Abstract

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

Original languageEnglish (US)
Pages (from-to)381-390
Number of pages10
JournalProbability Theory and Related Fields
Volume129
Issue number3
DOIs
StatePublished - Jul 2004

Fingerprint

Spectral Gap
Independent Random Variables
Central limit theorem
Linear Combination
Rate of Convergence
Entropy

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability
  • Analysis

Cite this

On the rate of convergence in the entropic central limit theorem. / Artstein, Shiri; Ball, Keith M.; Barthe, Franck; Naor, Assaf.

In: Probability Theory and Related Fields, Vol. 129, No. 3, 07.2004, p. 381-390.

Research output: Contribution to journalArticle

Artstein, Shiri ; Ball, Keith M. ; Barthe, Franck ; Naor, Assaf. / On the rate of convergence in the entropic central limit theorem. In: Probability Theory and Related Fields. 2004 ; Vol. 129, No. 3. pp. 381-390.
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