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

被引：1
|
作者：
Paindaveine, Davy [1 ]
Van Bever, Germain
机构：
[1] Univ Libre Bruxelles, ECARES, CP 114-04,50 Ave FD Roosevelt, B-1050 Brussels, Belgium
来源：
STATISTICS & PROBABILITY LETTERS | 2017年 / 129卷
关键词：
alpha-unimodality; Dirichlet distribution; Halfspace depth; Majorization; Stochastic ordering; RANDOM QUOTIENTS;
D O I：
10.1016/j.spl.2017.06.019
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：335 / 339
页数：5
相关论文
共 50 条
  • [41] Scatter halfspace depth for K-symmetric distributions
    Nagy, Stanislav
    STATISTICS & PROBABILITY LETTERS, 2019, 149 : 171 - 177
  • [42] COMPLETE CLASS RESULTS FOR THE MOMENT MATRICES OF DESIGNS OVER PERMUTATION-INVARIANT SETS
    CHENG, CS
    ANNALS OF STATISTICS, 1995, 23 (01): : 41 - 54
  • [43] Set Transformer: A Framework for Attention-based Permutation-Invariant Neural Networks
    Lee, Juho
    Lee, Yoonho
    Kim, Jungtaek
    Kosiorek, Adam R.
    Choi, Seungjin
    Teh, Yee Whye
    INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 97, 2019, 97
  • [44] Permutation-invariant collective variable to track and drive vacancy dynamics in simulations of solids
    Knaup, Jan M.
    Wehlau, Michael
    Frauenheim, Thomas
    PHYSICAL REVIEW B, 2013, 88 (22)
  • [45] ANSIG - An analytic signature for permutation-invariant two-dimensional shape representation
    Rodrigues, Jose J.
    Aguiar, Pedro M. Q.
    Xavier, Joao M. F.
    2008 IEEE CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION, VOLS 1-12, 2008, : 2102 - 2109
  • [46] Entangling power of permutation-invariant quantum states -: art. no. 032327
    Popkov, V
    Salerno, M
    Schütz, G
    PHYSICAL REVIEW A, 2005, 72 (03):
  • [47] Relative entropy of entanglement for multipartite mixed states: Permutation-invariant states and Dur states
    Wei, Tzu-Chieh
    PHYSICAL REVIEW A, 2008, 78 (01):
  • [48] Regularised atomic body-ordered permutation-invariant polynomials for the construction of interatomic potentials
    van der Oord, Cas
    Dusson, Genevieve
    Csanyi, Gabor
    Ortner, Christoph
    MACHINE LEARNING-SCIENCE AND TECHNOLOGY, 2020, 1 (01):
  • [49] SUPER-RESOLVED MULTI-TEMPORAL SEGMENTATION WITH DEEP PERMUTATION-INVARIANT NETWORKS
    Valsesia, Diego
    Magli, Enrico
    2022 IEEE INTERNATIONAL GEOSCIENCE AND REMOTE SENSING SYMPOSIUM (IGARSS 2022), 2022, : 995 - 998
  • [50] Janossy pooling: Learning deep permutation-invariant functions for variable-size inputs
    Murphy, Ryan L.
    Srinivasan, Balasubramaniam
    Ribeiro, Bruno
    Rao, Vinayak
    7th International Conference on Learning Representations, ICLR 2019, 2019,
12345