Tail and moment estimates for sums of independent random vectors with logarithmically concave tails

DOI10.4064/sm-118-3-301-304zbMath0847.60031OpenAlexW223749461MaRDI QIDQ4882872

Rafał Latała

Publication date: 30 September 1996

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216280

zbMATH Keywords

logarithmically concave tailstail and moment estimatesRademacher sequence

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability theory on linear topological spaces (60B11)

Related Items (13)

Moment estimates implied by modified log-Sobolev inequalities ⋮ Tail and moment estimates for chaoses generated by symmetric random variables with logarithmically concave tails ⋮ Comparison for upper tail probabilities of random series ⋮ Norms of structured random matrices ⋮ Some notes on concentration for \(\alpha\)-subexponential random variables ⋮ COMPARISON OF WEAK AND STRONG MOMENTS FOR VECTORS WITH INDEPENDENT COORDINATES ⋮ Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling ⋮ Order statistics and concentration of \(l_r\) norms for log-concave vectors ⋮ The large deviation principle for certain series ⋮ Hanson-Wright inequality in Banach spaces ⋮ Concentration inequalities for polynomials in \(\alpha\)-sub-exponential random variables ⋮ Tail and moment estimates for a class of random chaoses of order two ⋮ Exact upper tail probabilities of random series

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