Data depth, random simplices and multivariate dispersion

DOI10.1016/j.spl.2009.03.022zbMath1165.62040OpenAlexW2093446683MaRDI QIDQ1030163

Mario Romanazzi

Publication date: 1 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.spl.2009.03.022

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Nonparametric inference (62G99)

Related Items (4)

Clustering directional data through depth functions ⋮ Consistency and robustness of tests and estimators based on depth ⋮ Consistency of the likelihood depth estimator for the correlation coefficient ⋮ New robust tests for the parameters of the Weibull distribution for complete and censored data

Cites Work

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• A note on simplicial depth function
• Data depth and correlation
• Theory of Random Sets
• On the Measure of a Random Set
• Dispersive ordering of distributions
• Nonparametric notions of multivariate scatter measure and more scattered based on statistical depth functions

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