Fast Computation of Tukey Trimmed Regions and Median in Dimension p > 2

DOI10.1080/10618600.2018.1546595OpenAlexW2963494443MaRDI QIDQ3391277

Pavlo Mozharovskyi, Xiao Hui Liu, Karl C. Mosler

Publication date: 28 March 2022

Published in: Journal of Computational and Graphical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618600.2018.1546595

zbMATH Keywords

halfspace depthcomputational geometrydepth regionsTukey depthdepth contoursTukey medianlocation depthR-package TukeyRegion

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items

Halfspace depth for general measures: the ray basis theorem and its consequences ⋮ Illumination Depth ⋮ Tukey Depths and Hamilton--Jacobi Differential Equations ⋮ Choosing among notions of multivariate depth statistics ⋮ Some results on the computing of Tukey's halfspace median ⋮ Simple halfspace depth ⋮ Another look at halfspace depth: flag halfspaces with applications ⋮ Affine invariant integrated rank-weighted statistical depth: properties and finite sample analysis ⋮ Flexible integrated functional depths ⋮ Discussion of ``Multivariate functional outlier detection by Mia Hubert, Peter Rousseeuw and Pieter Segaert ⋮ Reconstruction of atomic measures from their halfspace depth ⋮ Computation of quantile sets for bivariate ordered data ⋮ Barycentric cuts through a convex body

Uses Software

• R
• UCI-ml
• Qhull
• locfit
• rgl
• StochaTR
• Rglpk
• ddalpha
• modQR
• TukeyRegion

Cites Work

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