Oja centers and centers of gravity

DOI10.1016/j.comgeo.2012.04.004zbMath1320.62119OpenAlexW2056371677MaRDI QIDQ691766

Stefan Langerman, John Iacono, Pat Morin, Olivier Devillers, Dan Chen

Publication date: 4 December 2012

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.comgeo.2012.04.004

zbMATH Keywords

data depthcenterpoint theoremOja depth

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Three-dimensional polytopes (52B10)

Related Items

A proof of the Oja depth conjecture in the plane, K-sign depth: from asymptotics to efficient implementation, The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg

Uses Software

• OjaNP

Cites Work

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• The finite-sample breakdown point of the Oja bivariate median and of the corresponding half-samples version
• On a notion of data depth based on random simplices
• Descriptive statistics for multivariate distributions
• The number of triangles covering the center of an \(n\)-set
• A generalization of Caratheodory's theorem
• Algorithms for bivariate medians and a Fermat-Torricelli problem for lines.