2 papers
stat.ME2021
On Generalization and Computation of Tukey's Depth: Part II
Yiyuan She, Shao Tang, Jingze Liu
This paper studies how to generalize Tukey's depth to problems defined in a restricted space that may be curved or have boundaries, and to problems with a nondifferentiable objecti…
stat.ME2021
On Generalization and Computation of Tukey's Depth: Part I
Yiyuan She, Shao Tang, Jingze Liu
Tukey's depth offers a powerful tool for nonparametric inference and estimation, but also encounters serious computational and methodological difficulties in modern statistical dat…