Majorization and Gaussian correlation

被引：2
|
作者：
Vitale, RA [1 ]
机构：
[1] Univ Connecticut, Dept Stat, Storrs, CT 06269 USA
来源：
STATISTICS & PROBABILITY LETTERS | 1999年 / 45卷 / 03期
关键词：
D O I：
10.1016/S0167-7152(99)00064-4
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：
Using Schur majorization, we show Gaussian correlation inequalities for two classes of sets: Schur cylinders and barycentrically ordered sets. As a corollary, we deduce positive correlation for pairs of centered convex sets that share the symmetries of a regular simplex. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：247 / 251
页数：5
相关论文
共 50 条
  • [21] A correlation inequality for the Gaussian measure
    Harge, G
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 326 (11): : 1325 - 1328
  • [22] A note on the Gaussian correlation conjecture
    Li, WV
    Shao, QM
    HIGH DIMENSIONAL PROBABILITY II, 2000, 47 : 163 - 171
  • [23] The Locally Gaussian Partial Correlation
    Otneim, Hakon
    Tjostheim, Dag
    JOURNAL OF BUSINESS & ECONOMIC STATISTICS, 2022, 40 (02) : 924 - 936
  • [24] Correlation of Gaussian Mixture Tracks
    Ogle, Terrence L.
    Davis, Ben P.
    Blair, W. Dale
    Willett, Peter K.
    2018 21ST INTERNATIONAL CONFERENCE ON INFORMATION FUSION (FUSION), 2018, : 1193 - 1200
  • [25] GAUSSIAN CORRELATION INEQUALITIES FOR FERROMAGNETS
    NEWMAN, CM
    ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1975, 33 (02): : 75 - 93
  • [26] Sequence Set Design With Good Correlation Properties Via Majorization-Minimization
    Song, Junxiao
    Babu, Prabhu
    Palomar, Daniel P.
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2016, 64 (11) : 2866 - 2879
  • [27] MULTIVARIATE MAJORIZATION AND DIRECTIONAL MAJORIZATION - POSITIVE RESULTS
    BHANDARI, SK
    SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A, 1988, 50 : 199 - 204
  • [28] Singular linear preservers of majorization and cone type majorization
    Cachadina, Maria Isabel Bueno
    Furtado, Susana
    Sivakumar, K. C.
    LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (16): : 2631 - 2644
  • [29] Extremal elements of a sublattice of the majorization lattice and approximate majorization
    Massri, C.
    Bellomo, G.
    Holik, F.
    Bosyk, G. M.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 53 (21)
  • [30] A nonsymmetric correlation inequality for Gaussian measure
    Szarek, SJ
    Werner, E
    JOURNAL OF MULTIVARIATE ANALYSIS, 1999, 68 (02) : 193 - 211
12345