Log-concavity and relative log-concave ordering of compound distributions

被引：0
|
作者：
Xia, Wanwan [1 ]
Lv, Wenhua [2 ]
机构：
[1] Nanjing Tech Univ, Sch Phys & Math Sci, Nanjing, Jiangsu, Peoples R China
[2] Chuzhou Univ, Sch Math Sci, Chuzhou, Anhui, Peoples R China
来源：
PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES | 2024年 / 38卷 / 03期
关键词：
Binomial distribution; Compound distribution; Entropy; Log-concavity; Negative binomial distribution; ENTROPY;
D O I：
10.1017/S0269964823000293
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we compare the entropy of the original distribution and its corresponding compound distribution. Several results are established based on convex order and relative log-concave order. The necessary and sufficient condition for a compound distribution to be log-concave is also discussed, including compound geometric distribution, compound negative binomial distribution and compound binomial distribution.
引用
收藏
页码：579 / 593
页数：15
相关论文
共 50 条
  • [31] Log-Sobolev inequalities and sampling from log-concave distributions
    Frieze, A
    Kannan, R
    ANNALS OF APPLIED PROBABILITY, 1999, 9 (01): : 14 - 26
  • [32] A SIMPLE GENERATOR FOR DISCRETE LOG-CONCAVE DISTRIBUTIONS
    DEVROYE, L
    COMPUTING, 1987, 39 (01) : 87 - 91
  • [33] On Multiple and Infinite Log-Concavity
    Luis A. Medina
    Armin Straub
    Annals of Combinatorics, 2016, 20 : 125 - 138
  • [34] Log-Concavity of the Alexander Polynomial
    Hafner, Elena S.
    Meszaros, Karola
    Vidinas, Alexander
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (13) : 10273 - 10284
  • [35] Log-concavity of the partition function
    DeSalvo, Stephen
    Pak, Igor
    RAMANUJAN JOURNAL, 2015, 38 (01): : 61 - 73
  • [36] On the Log-Concavity of the Wright Function
    Ferreira, Rui A. C.
    Simon, Thomas
    CONSTRUCTIVE APPROXIMATION, 2024, 60 (02) : 309 - 338
  • [37] Log-concavity of some independence polynomials via a partial ordering
    Bautista-Ramos, Cesar
    Guillen-Galvan, Carlos
    Gomez-Salgado, Paulino
    DISCRETE MATHEMATICS, 2019, 342 (01) : 18 - 28
  • [38] Log-concavity of the overpartition function
    Benjamin Engel
    The Ramanujan Journal, 2017, 43 : 229 - 241
  • [39] Horizontal and vertical log-concavity
    Heim, Bernhard
    Neuhauser, Markus
    RESEARCH IN NUMBER THEORY, 2021, 7 (01)
  • [40] Horizontal and vertical log-concavity
    Bernhard Heim
    Markus Neuhauser
    Research in Number Theory, 2021, 7
12345