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, ). See file LICENSE.note for additional license information.


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install.packages("TukeyRegion")

0.1.4 by Pavlo Mozharovskyi, 2 months ago


Browse source code at https://github.com/cran/TukeyRegion


Authors: C.B. Barber [aut, cph] (Qhull library) , The Geometry Center University of Minnesota [cph] (Qhull library) , Pavlo Mozharovskyi [aut, cre]


Documentation:   PDF Manual  


GPL (>= 3) license


Imports Rcpp

Depends on rgl, ddalpha, MASS, bfp, Rglpk

Linking to Rcpp, BH

System requirements: C++11


See at CRAN