两个k阶Erlang分布之间的Kullback-Leibler距离  

The kullback-leibler distance between two k-th erlang distribution

作　　者：季海波[1] JI Hai-bo(School of Literature and Science,Suqian College,Suqian 223800,China)

机构地区：[1]宿迁学院文理学院,江苏宿迁223800

出　　处：《青海师范大学学报（自然科学版）》2018年第3期21-23,34,共4页Journal of Qinghai Normal University(Natural Science Edition)

基　　金：江苏省宿迁市社科类研究项目(17SSY-61)

摘　　要：研究k阶Erlang分布,给出了两个k阶Erlang分布之间的Kullback-Leibler距离、Kullback-Leibler最小距离和最大距离的表达式,并且讨论了这三个距离的渐近情况,结果表明三个距离的渐近性相同.比较了两个指数分布之间Kullback-Leibler距离与两个k阶Erlang分布之间的Kullback-Leibler距离,并找到两者之间的关系.In this paper,the k-th Erlang distribution is studied,Kullback-Leibler distance,Kullback-Leibler minimum distanced and Kullback-Leibler maximum distance between two k-th Erlang distribution are introduced;and the gradual properties of the three distances are discussed.The relationship of the Kullback-Leibler distance between two k-th Erlang distribution and the Kullback-Leibler distance between two exponential distribution is obtained.

关 键 词：k阶Erlang分布 Kullback-Leibler距离 密度函数 

分 类 号：O212.62[理学—概率论与数理统计]