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Thin-shell concentration for convex measures
2014
Studia Mathematica
We prove that for s < 0, s-concave measures on R n satisfy a thinshell concentration similar to the log-concave case. It leads to a Berry-Esseen type estimate for most of their one dimensional marginal distributions. We also establish sharp reverse Hölder inequalities for s-concave measures.
doi:10.4064/sm223-2-2
fatcat:7ejfwv7lrnafpmyyzviwsxv4zy