TukeyRegion: Tukey Region and Median

Tukey regions are polytopes in the Euclidean space, viz. upper-level sets of the Tukey depth function on given data. The bordering hyperplanes of a Tukey region are computed as well as its vertices, facets, centroid, and volume. In addition, the Tukey median set, which is the non-empty Tukey region having highest depth level, and its barycenter (= Tukey median) are calculated. Tukey regions are visualized in dimension two and three. For details see Liu, Mosler, and Mozharovskyi (2019, <doi:10.1080/10618600.2018.1546595>). See file LICENSE.note for additional license information.

Package details

AuthorC.B. Barber [aut, cph] (Qhull library), The Geometry Center University of Minnesota [cph] (Qhull library), Pavlo Mozharovskyi [aut, cre]
MaintainerPavlo Mozharovskyi <pavlo.mozharovskyi@telecom-paris.fr>
LicenseGPL (>= 3)
Package repositoryView on CRAN
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TukeyRegion documentation built on April 18, 2023, 1:10 a.m.