16 citations · 27 across the 11 of their papers we have counts for
4 papers · 1 filter
Fast computation of Tukey trimmed regions and median in dimension
Xiaohui Liu, Karl Mosler, Pavlo Mozharovskyi
Given data in , a Tukey -trimmed region is the set of all points that have at least Tukey depth w.r.t. the data. As they are visual, affine equivariant and r…
Fast implementation of the Tukey depth
Xiaohui Liu
Tukey depth function is one of the most famous multivariate tools serving robust purposes. It is also very well known for its computability problems in dimensions . In thi…
Fast and exact implementation of 3-dimensional Tukey depth regions
Xiaohui Liu
Tukey depth regions are important notions in nonparametric multivariate data analysis. A -th Tukey depth region is the set of all points that have at least depth…
Exactly computing bivariate projection depth contours and median
Xiaohui Liu, Yijun Zuo, Zhizhong Wang
Among their competitors, projection depth and its induced estimators are very favorable because they can enjoy very high breakdown point robustness without having to pay the price…