On the rate of convergence in the entropic central limit theorem

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

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Bibliographic Details
Published in:Probability theory and related fields 2004-07, Vol.129 (3), p.381-390
Main Authors: ARTSTEIN, Shiri, BALL, Keith M, BARTHE, Franck, NAOR, Assaf
Format: Article
Language:English
Subjects:
Central limit theorem
Digital Object Identifier
Entropy
Exact sciences and technology
Hypotheses
Independent variables
Inequality
Limit theorems
Mathematical analysis
Mathematics
Probability
Probability and statistics
Probability theory and stochastic processes
Random variables
Sciences and techniques of general use
Theory
Variables
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Description
Summary:We study the rate at which entropy is produced by linear combinations of independent random variables which satisfy a spectral gap condition. [PUBLICATION ABSTRACT]
ISSN:0178-8051
1432-2064
DOI:10.1007/s00440-003-0329-4