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.

Depends: rgl, ddalpha, MASS, bfp, Rglpk
Imports: Rcpp (≥ 0.11.0)
LinkingTo: Rcpp, BH
Published: 2023-04-17
DOI: 10.32614/CRAN.package.TukeyRegion
Author: C.B. Barber [aut, cph] (Qhull library), The Geometry Center University of Minnesota [cph] (Qhull library), Pavlo Mozharovskyi [aut, cre]
Maintainer: Pavlo Mozharovskyi <pavlo.mozharovskyi at telecom-paris.fr>
License: GPL (≥ 3)
NeedsCompilation: yes
CRAN checks: TukeyRegion results


Reference manual: TukeyRegion.pdf


Package source: TukeyRegion_0.1.6.3.tar.gz
Windows binaries: r-devel: TukeyRegion_0.1.6.3.zip, r-release: TukeyRegion_0.1.6.3.zip, r-oldrel: TukeyRegion_0.1.6.3.zip
macOS binaries: r-release (arm64): TukeyRegion_0.1.6.3.tgz, r-oldrel (arm64): TukeyRegion_0.1.6.3.tgz, r-release (x86_64): TukeyRegion_0.1.6.3.tgz, r-oldrel (x86_64): TukeyRegion_0.1.6.3.tgz
Old sources: TukeyRegion archive


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