English

Halfspace depth does not characterize probability distributions

Statistics Theory 2021-05-28 v1 Probability Statistics Theory

Abstract

We give examples of different multivariate probability distributions whose halfspace depths coincide at all points of the sample space.

Keywords

Cite

@article{arxiv.1810.09207,
  title  = {Halfspace depth does not characterize probability distributions},
  author = {Stanislav Nagy},
  journal= {arXiv preprint arXiv:1810.09207},
  year   = {2021}
}
R2 v1 2026-06-23T04:48:05.978Z