New sufficient conditions for strong unimodality of multivariate discrete distributions

被引:1
|
作者
Alharbi, Majed Ghazi [1 ]
Subasi, Ersoy [2 ]
Subasi, Munevver Mine [1 ]
机构
[1] Florida Inst Technol, Dept Math Sci, 150 W Univ Blvd, Melbourne, FL 32901 USA
[2] Florida Inst Technol, Dept Engn Syst, 150 W Univ Blvd, Melbourne, FL 32901 USA
关键词
Strong unimodality; Logconcavity; Discrete multivariate distributions; Multivariate Polya-Eggenberger distribution; COMPOUND DISTRIBUTIONS; CONVEX-FUNCTIONS; OPTIMIZATION; CONCAVITY; INTEGERS;
D O I
10.1016/j.dam.2017.11.026
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
New sufficient conditions that ensure the strong unimodality of multivariate discrete distributions are obtained by the use of a special simplicial subdivision of multidimensional space. Strong unimodality of multivariate Polya-Eggenberger distribution is shown. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:1 / 25
页数:25
相关论文
共 50 条
  • [1] On strong unimodality of multivariate discrete distributions
    Subasi, Ersoy
    Subasi, Munevver Mine
    Prekopa, Andras
    [J]. DISCRETE APPLIED MATHEMATICS, 2009, 157 (02) : 234 - 246
  • [2] CHARACTERIZATIONS OF UNIMODALITY OF DISCRETE DISTRIBUTIONS
    DHARMADHIKARI, SW
    JOGDEO, K
    [J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1976, 28 (01) : 9 - 18
  • [3] Discrete strong unimodality of order statistics
    Alimohammadi, Mahdi
    Alamatsaz, Mohammad Hossein
    Cramer, Erhard
    [J]. STATISTICS & PROBABILITY LETTERS, 2015, 103 : 176 - 185
  • [4] A NOTE ON THE UNIMODALITY OF DISCRETE-DISTRIBUTIONS
    ABOUAMMOH, AM
    MASHHOUR, AF
    [J]. COMMUNICATIONS IN STATISTICS PART A-THEORY AND METHODS, 1981, 10 (13): : 1345 - 1354
  • [5] Strong unimodality of discrete order statistics
    Kim, Bara
    Kim, Jeongsim
    Lee, Sungji
    [J]. STATISTICS & PROBABILITY LETTERS, 2018, 140 : 48 - 52
  • [6] ON THE UNIMODALITY OF HIGH CONVOLUTIONS OF DISCRETE-DISTRIBUTIONS
    ODLYZKO, AM
    RICHMOND, LB
    [J]. ANNALS OF PROBABILITY, 1985, 13 (01): : 299 - 306
  • [7] NEW SUFFICIENT CONDITIONS FOR STRONG STARLIKENESS
    Nunokawa, Mamoru
    Sokol, Janusz
    Trabka-Wieclaw, Katarzyna
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 2019, 45 (02): : 385 - 393
  • [8] DISPERSIVE DISTRIBUTIONS, AND THE CONNECTION BETWEEN DISPERSIVITY AND STRONG UNIMODALITY
    LEWIS, T
    THOMPSON, JW
    [J]. JOURNAL OF APPLIED PROBABILITY, 1981, 18 (01) : 76 - 90
  • [9] SUFFICIENT CONDITIONS FOR UNIMODALITY OF THE POSITIVE BINOMIAL LIKELIHOOD FUNCTION
    DERIGGI, D
    [J]. STATISTICS & PROBABILITY LETTERS, 1994, 19 (01) : 1 - 4
  • [10] New sufficient conditions for strong simultaneous stabilization
    Abdallah, CT
    Dorato, P
    Bredemann, M
    [J]. AUTOMATICA, 1997, 33 (06) : 1193 - 1196