@article{a0242f7d88234ae2b6741b6118f8bc13,
title = "On the maximal halfspace depth of permutation-invariant distributions on the simplex",
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.",
keywords = "Dirichlet distribution, Halfspace depth, Majorization, Stochastic ordering, α-unimodality",
author = "Davy Paindaveine and {Van Bever}, Germain",
note = "Funding Information: Davy Paindaveine's research is supported by the IAP research network grant nr. P7/06 of the Belgian government (Belgian Science Policy), the Cr{\'e}dit de Recherche J.0113.16 of the FNRS (Fonds National pour la Recherche Scientifique), Communaut{\'e} Fran{\c c}aise de Belgique, and a grant from the National Bank of Belgium. Germain Van Bever's research is supported by the FC84444 grant of the FNRS. Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",
year = "2017",
month = oct,
day = "1",
doi = "10.1016/j.spl.2017.06.019",
language = "English",
volume = "129",
pages = "335--339",
journal = "Statistics and Probability Letters",
issn = "0167-7152",
publisher = "Elsevier",
}