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
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.
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页数：15
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