On the maximal halfspace depth of permutation-invariant distributions on the simplex

2017/05/14 by Davy Paindaveine, Paindaveine, Davy, Germain Van Bever +1
Computer Science · Decision Sciences · Mathematics · #Bayesian Methods and Mixture Models #FOS: Mathematics #Probability and Risk Models #Statistical Distribution Estimation and Applications #Statistics Theory (math.ST) #math.ST #stat.TH

paper · pdf · doi:10.48550/arxiv.1705.04974

14 pages, 3 figures

openalex publication_date 2017/05/14 · arxiv created 2017/06/21 · arxiv updated 2017/06/22 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We compute the maximal halfspace depth for a class of permutation-invariant distributions on the probability simplex. The derivations are based on stochastic ordering results that so far were only showed to be relevant for the Behrens-Fisher problem.

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