Probability inequalities for continuous unimodal random variables with finite support

DOI10.1080/03610928808829817zbMath0696.62035OpenAlexW2056034416MaRDI QIDQ3473002

Dean M. Young, Virgil R. Marco, Danny W. Turner, John W. jun. Seaman

Publication date: 1988

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928808829817

zbMATH Keywords

Bernstein inequalitiesvariance boundsGauss-type probability inequalityunimodal random variables

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Characterization and structure theory of statistical distributions (62E10)

Cites Work

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• Probability inequalities for the sum in sampling without replacement
• Probability Inequalities for the Sum of Independent Random Variables
• Some remarks on probability inequalities for sums of bounded convex random variables
• Distribution-Free Confidence Bounds for P(X 1 + X 2 + ⋯+ X k < Z)
• Probability Inequalities for Sums of Bounded Random Variables
• On Least Favorable Density Functions
• The Maximum Variance of Restricted Unimodal Distributions

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