On Variance Upper Bounds for Unimodal Distributions

DOI10.1080/03610926.2012.709908zbMath1321.60034OpenAlexW2001170492MaRDI QIDQ5172815

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Publication date: 5 February 2015

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

Full work available at URL: https://doi.org/10.1080/03610926.2012.709908

zbMATH Keywords

variancediscrete distributionsunimodal distributionsKarl Pearson's coefficient of dispersion

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Statistical distribution theory (62E99)

Related Items (1)

The variance upper bound for a mixed random variable

Cites Work

• Variance upper bounds and convolutions of \(\alpha\)-unimodal distributions
• Some bounds for integrals with refinements of the Grüss inequality
• A Better Bound on the Variance
• Upper bounds for the variances of certain random variables
• Some bounds on sample parameters with refinements of Samuelson and Brunk inequalities
• A generalized unimodality
• The Maximum Variance of Restricted Unimodal Distributions
• The Moment Problem for Unimodal Distributions

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