Squared skewness minus kurtosis bounded by 186/125 for unimodal distributions

DOI10.1016/S0167-7152(00)00090-0zbMath0966.60006OpenAlexW2082859738MaRDI QIDQ1590559

Philip J. Mokveld, Chris A. J. Klaassen, A. J. van Es

Publication date: 12 August 2001

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(00)00090-0

zbMATH Keywords

infinitely divisible distributionskurtosisskewnessunimodal distributionsone-sided boundary-inflated uniform distributionPearson inequality

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Inequalities; stochastic orderings (60E15) Characteristic functions; other transforms (60E10) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (11)

Intriguing yet simple skewness: kurtosis relation in economic and demographic data distributions, pointing to preferential attachment processes ⋮ Skewness-kurtosis bounds for the skewed generalized \(T\) and related distributions ⋮ On a Family of Trimodal Distributions ⋮ Extensions of Pearson's inequality between skewness and kurtosis to multivariate cases ⋮ Local mixtures of the exponential distribution ⋮ Independent component analysis for tensor-valued data ⋮ Asymptotic cumulants of the estimator of the canonical parameter in the exponential family ⋮ Sharp inequalities of Bienaymé-Chebyshev and Gauß type for possibly asymmetric intervals around the mean ⋮ Skew \(t\) distributions via the sinh-arcsinh transformation ⋮ Limiting fitness distributions in evolutionary dynamics ⋮ On the Interrelation Between the Sample Mean and the Sample Variance

Cites Work

• Testing for Poissonity-normality vs. other infinite divisibility
• Sharp inequalities between skewness and kurtosis for unimodal distributions
• Sharp inequalities between skewness and kurtosis
• The Moment Problem for Unimodal Distributions
• A Note on Skewness and Kurtosis
• Unnamed Item
• Unnamed Item

This page was built for publication: Squared skewness minus kurtosis bounded by 186/125 for unimodal distributions