Two-sided estimates for constants in the Marcinkiewicz inequalities

DOI10.1007/S10958-009-9441-ZzbMath1200.60035OpenAlexW1964298801MaRDI QIDQ1037011

V. A. Egorov

Publication date: 13 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9441-z

zbMATH Keywords

sums of independent random variablessymmetric random variablesMarcinkiewicz inequalitiessharp estimates for constants estimates of moments for sums

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sums of independent random variables; random walks (60G50)

Cites Work

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• When is the Student \(t\)-statistic asymptotically standard normal?
• Self-normalized Cramér-type large deviations for independent random variables.
• Probability Inequalities for the Sum of Independent Random Variables
• Probability Inequalities for Sums of Bounded Random Variables
• Probability Inequalities for Sums of Independent Random Variables

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