О точной константе в неравенстве Розенталя

DOI10.4213/tvp1807zbMath0927.60023OpenAlexW2328411040MaRDI QIDQ3842399

Shaturgun Sharakhmetov, Rustam Ibragimov

Publication date: 21 January 1999

Published in: Teoriya Veroyatnostei i ee Primeneniya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4213/tvp1807

zbMATH Keywords

Rosenthal's inequalityrandom variables with symmetric distribution

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (13)

Measuring the magnitude of sums of independent random variables ⋮ The best constant in the Rosenthal inequality for nonnegative random variables ⋮ Exponential tail estimates in the law of ordinary logarithm (LOL) for triangular arrays of random variables ⋮ Exact Rosenthal-type bounds ⋮ On extremal distributions and sharp \(L_p\)-bounds for sums of multilinear forms ⋮ Model selection in nonparametric regression ⋮ Sharp Rosenthal‐type inequalities for mixtures and log‐concave variables ⋮ A Sharp Uniform Bound for the Distribution of Sums of Bernoulli Trials ⋮ Exact Rosenthal-type inequalities for \(p=3\), and related results ⋮ On the error bound in the normal approximation for Jack measures ⋮ Berry-Esseen bounds and Edgeworth expansions in the central limit theorem for transport distances ⋮ Optimal constants in the Rosenthal inequality for random variables with zero odd moments ⋮ Optimal Re-centering Bounds, with Applications to Rosenthal-type Concentration of Measure Inequalities

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