Gaussian approximation of moments of sums of independent symmetric random variables with logarithmically concave tails

DOI10.1214/09-IMSCOLL503zbMATH Open1243.60016arXiv1104.0372MaRDI QIDQ2900946

Rafał Latała

Publication date: 26 July 2012

Published in: Institute of Mathematical Statistics Collections (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1104.0372

zbMATH Keywords

momentssums of independent random variablesGaussian approximationlogarithmically concave tails

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05)

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