Open Access
VOL. 5 | 2009 Gaussian approximation of moments of sums of independent symmetric random variables with logarithmically concave tails
Chapter Author(s) Rafał Latała
Editor(s) Christian Houdré, Vladimir Koltchinskii, David M. Mason, Magda Peligrad
Inst. Math. Stat. (IMS) Collect., 2009: 37-42 (2009) DOI: 10.1214/09-IMSCOLL503

Abstract

We study how well moments of sums of independent symmetric random variables with logarithmically concave tails may be approximated by moments of Gaussian random variables.

Information

Published: 1 January 2009
First available in Project Euclid: 2 February 2010

zbMATH: 1243.60016
MathSciNet: MR2797938

Digital Object Identifier: 10.1214/09-IMSCOLL503

Subjects:
Primary: 60E15
Secondary: 60F05

Keywords: Gaussian approximation , logarithmically concave tails , moments , Sums of independent random variables

Rights: Copyright © 2009, Institute of Mathematical Statistics

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