Exact Rosenthal-type inequalities for \(p=3\), and related results

DOI10.1016/j.spl.2013.08.012zbMath1286.60018arXiv1302.6524OpenAlexW2964301801MaRDI QIDQ2439633

Iosif Pinelis

Publication date: 14 March 2014

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.6524

zbMATH Keywords

sums of independent random variablesprobability inequalitiesRosenthal inequalitybounds on moments

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (3)

Rosenthal-Type Inequalities for Martingales in 2-Smooth Banach Spaces ⋮ Exact Rosenthal-type bounds ⋮ Sharp Rosenthal‐type inequalities for mixtures and log‐concave variables

Cites Work

• Some optimal bounds in the central limit theorem using zero biasing
• Distribution function inequalities for martingales
• Estimation of moments of sums of independent real random variables
• Moment inequalities for functions of independent random variables
• Optimum bounds on moments of sums of independent random vectors
• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Exact inequalities for sums of asymmetric random variables, with applications
• Rosenthal-Type Inequalities for Martingales in 2-Smooth Banach Spaces
• Estimates of the Moments of Sums of Independent Random Variables
• О точной константе в неравенстве Розенталя
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