38 citations · 93 across the 17 of their papers we have counts for
4 papers · 1 filter
Another look at halfspace depth: Flag halfspaces with applications
Dušan Pokorný, Petra Laketa, Stanislav Nagy
The halfspace depth is a well studied tool of nonparametric statistics in multivariate spaces, naturally inducing a multivariate generalisation of quantiles. The halfspace depth of…
Exact and approximate computation of the scatter halfspace depth
Xiaohui Liu, Yuzi Liu, Petra Laketa +2
The scatter halfspace depth (sHD) is an extension of the location halfspace (also called Tukey) depth that is applicable in the nonparametric analysis of scatter. Using sHD, it is…
Partial reconstruction of measures from halfspace depth
Petra Laketa, Stanislav Nagy
The halfspace depth of a -dimensional point with respect to a finite (or probability) Borel measure in is defined as the infimum of the -masses of all…
On exact computation of Tukey depth central regions
Vít Fojtík, Petra Laketa, Pavlo Mozharovskyi +1
The Tukey (or halfspace) depth extends nonparametric methods toward multivariate data. The multivariate analogues of the quantiles are the central regions of the Tukey depth, defin…