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Moments of unconditional logarithmically concave vectors

By Rafał Latała

Abstract

We derive two-sided bounds for moments of linear combinations of coordinates od unconditional log-concave vectors. We also investigate how well moments of such combinations may be approximated by moments of Gaussian random variables.Comment: 14 page

Topics: Mathematics - Probability, 60E15, 60F05, 52A20
Year: 2011
DOI identifier: 10.1007/978-3-642-29849-3_17
OAI identifier: oai:arXiv.org:1104.0373
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