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

IF 0.7 3区工程技术 Q4 ENGINEERING, INDUSTRIAL

Probability in the Engineering and Informational Sciences Pub Date : 2024-01-29 DOI:10.1017/s0269964823000293

Wanwan Xia, Wenhua Lv

引用次数: 0

Abstract

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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复合分布的对数凹陷和相对对数凹陷排序

本文比较了原始分布和相应复合分布的熵。根据凸阶和相对对数凹阶建立了几个结果。本文还讨论了复合分布为对数凹分布的必要条件和充分条件，包括复合几何分布、复合负二项分布和复合二项分布。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Probability in the Engineering and Informational Sciences 数学-工程：工业

CiteScore

2.20

自引率

18.20%

发文量

审稿时长

>12 weeks

期刊介绍： The primary focus of the journal is on stochastic modelling in the physical and engineering sciences, with particular emphasis on queueing theory, reliability theory, inventory theory, simulation, mathematical finance and probabilistic networks and graphs. Papers on analytic properties and related disciplines are also considered, as well as more general papers on applied and computational probability, if appropriate. Readers include academics working in statistics, operations research, computer science, engineering, management science and physical sciences as well as industrial practitioners engaged in telecommunications, computer science, financial engineering, operations research and management science.