Precise moment and tail bounds for Rademacher sums in terms of weak parameters

DOI10.1007/s11856-014-1109-9zbMath1350.60014OpenAlexW2024219621MaRDI QIDQ476511

Krzysztof Oleszkiewicz

Publication date: 2 December 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-014-1109-9

zbMATH Keywords

Banach spacesBernoulli random variablesRademacher sumsSteinhaus random variables

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probabilistic methods in Banach space theory (46B09) Probability theory on linear topological spaces (60B11)

Related Items (4)

Sharp Khinchin-type inequalities for symmetric discrete uniform random variables ⋮ Tail bounds for sums of independent two-sided exponential random variables ⋮ On the convex infimum convolution inequality with optimal cost function ⋮ Rademacher–Gaussian tail comparison for complex coefficients and related problems

Cites Work

• Inequalities in Fourier analysis
• The distribution of vector-valued Rademacher series
• Gaussian measures of dilatations of convex symmetric sets
• Comparison of moments of sums of independent random variables and differential inequalities
• Khinchine type inequalities with optimal constants via ultra log-concavity
• Étude des coefficients de Fourier des fonctions de \(L^ p(G)\)
• An Isoperimetric Theorem on the Cube and the Kintchine-Kahane Inequalities
• On Talagrand's deviation inequalities for product measures
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