Generalized Gauss-Chebyshev inequalities for unimodal distributions

DOI10.1007/BF02613901zbMath0854.60018MaRDI QIDQ1922586

Thomas M. Sellke

Publication date: 13 January 1997

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/176641

zbMATH Keywords

convexityunimodalityvon Mises inequalityChebyshev inequalityGauss inequalityVysokhanskij-Petunin inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (6)

Worst-case robust design optimization under distributional assumptions ⋮ Distribution of random motion at renewal instants in three-dimensional space ⋮ Conditional MSE-based discrimination of the sample mean and the post-stratification estimator in population sampling ⋮ Sharp inequalities of Bienaymé-Chebyshev and Gauß type for possibly asymmetric intervals around the mean ⋮ Chebyshev-type inequalities for scale mixtures ⋮ Generalized Gauss inequalities via semidefinite programming

Cites Work

• Inequalities for absolute moments of a distribution: From Laplace to von Mises
• The Gauss–Tchebyshev Inequality for Unimodal Distributions
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