Median balls: An extension of the interquantile intervals to multivariate distributions

DOI10.1006/jmva.1997.1707zbMath0907.62061OpenAlexW2053979676MaRDI QIDQ1375106

Jean Avérous, Michel Meste

Publication date: 8 March 1999

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.1997.1707

zbMATH Keywords

orderingsdispersion functionspatial medianinterquantile intervals

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Probability distributions: general theory (60E05) Probability theory on linear topological spaces (60B11)

Related Items

Nonparametric multivariate descriptive measures based on spatial quantiles ⋮ Convergent estimators for the l₁-median of banach valued random variable ⋮ On a scale-scale plot for comparing multivariate distributions ⋮ Comments concerning the article of Maurice Fréchet: `` Sur une limitation très générale de la dispersion de la médiane ⋮ An introduction to copula-based bivariate reliability Concepts ⋮ A Vectorial Notion of Skewness and Its Use in Testing for Multivariate Symmetry ⋮ A note on multivariate \(M\)-quantiles ⋮ Approximation of distributions by bounded sets ⋮ On the using of modal curves for radar waveforms classification ⋮ Quantile curves and dependence structure for bivariate distributions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Concavity and estimation
• On a notion of data depth based on random simplices
• Descriptive statistics for multivariate distributions
• Note on the spatial quantile of a random vector
• A counterexample on the existence of the \(L_ 1\)-median
• Concentration inequalities for multivariate distributions. I: Multivariate normal distributions
• Generalized quantile processes
• Asymptotics for multivariate trimming
• Halfplane trimming for bivariate distributions
• Multivariate dispersion orderings
• Über monotone Matrixfunktionen
• Kurtosis and spread
• THE RELATIONSHIPS BETWEEN SKEWNESS AND KURTOSIS
• [https://portal.mardi4nfdi.de/wiki/Publication:3689923 La multi-application m�dianes conditionnelles]
• Spatial median and directional data
• M-quantiles
• Location, skewness and tailweight in l_ssense: a coherent approach