Maximum variance unimodal distributions

DOI10.1016/0167-7152(85)90041-0zbMath0578.62022OpenAlexW2078750246MaRDI QIDQ1066576

John W. jun. Seaman, Dean M. Young, Patrick L. Odell

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0167-7152(85)90041-0

zbMATH Keywords

inequalitiesunbiasednessleast upper boundvariance estimationvariance of unimodal distributions

Mathematics Subject Classification ID

Point estimation (62F10) Statistical distribution theory (62E99)

Related Items (2)

Variance upper bounds and convolutions of \(\alpha\)-unimodal distributions ⋮ A note on improved variance bounds for certain bounded unimodal distributions

Cites Work

• Bounds on the variance of the U-statistic for symmetric distributions with shift alternatives
• Bounds for the Variance of the Mann-Whitney Statistic
• On Goldstein’s variance bound
• Some inequalities on variances
• On Least Favorable Density Functions
• The Maximum Variance of Restricted Unimodal Distributions
• The Moment Problem for Unimodal Distributions

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