复合泊松分布的对数凹性质  

Log-concavity of compound Poisson distributions

作　　者：夏婉婉 XIA Wanwan(Department of Statistics and Finance, School of Management, University of Science and Technology of China, Hefei 230026, China)

机构地区：[1]中国科学技术大学管理学院统计与金融系,安徽合肥230026

出　　处：《中国科学技术大学学报》2019年第9期699-703,共5页JUSTC

摘　　要：根据前人文献给出的对数凹性质、TP2性质和再生性的关系,得到了双参数复合泊松分布关于其参数的对数凹性质以及TP2性质的相关结论.Log-concavity and total positivity of order 2(TP2)properties of two-parameter compound Poisson distributions Q(x|θ,ν)with respect to x,θandνwas studied by exploiting the interrelationships between log-concavity,TP2 and reproductive property developed by the existing literatures.One application was also presented.

关 键 词：再生性 二阶全正性 二阶反向正则 似然比递增 失效率递增 反向失效率递减 

分 类 号：O211.3[理学—概率论与数理统计]