点过程理论在客户寿命值研究中的应用  

The Application of Point Process Theory on the Research of Customer Lifetime Value

作　　者：史爱玲[1] 

机构地区：[1]甘肃联合大学数学与信息学院,甘肃兰州730000

出　　处：《甘肃联合大学学报（自然科学版）》2009年第3期10-13,共4页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：假设客户以强度为λ的齐次Poisson过程来到公司与公司进行交易.相邻两次交易时间间隔首次出现不小于事先给定的门限值δ时,公司与客户的关系中断,中断时间记为客户的寿命T.在此假设之下建立了个体CLV模型,研究了客户寿命和客户寿命的生存函数,定义了客户寿命值及客户贡献值,得到了客户寿命生存函数的拉普拉斯变换与客户贡献值的分布函数.Taking δ-shock model as the foundation model,the part has established the individual CLV- model under Poisson process as arrival process,the customer lifetime and the customer lifetime survival function were studied, the customer lifetime value and the customer contribution value were defined, the customer lifetime survival function Laplace transformation and the customer contribution value distribution function were obtained.

关 键 词：Δ-冲击模型 客户寿命 客户寿命值 生存函数 拉普拉斯变换 

分 类 号：O211.6[理学—概率论与数理统计]