您的位置:山东大学 -> 科技期刊社 -> 《山东大学学报(理学版)》

山东大学学报(理学版)

• 论文 • 上一篇    下一篇

齐次泊松响应的客户寿命值及性质

史爱玲1,马明2*,郑莹2   

  1. 1.兰州文理学院师范学院, 甘肃 兰州 730000; 2.西北民族大学数学与计算机科学学院, 甘肃 兰州 730030
  • 收稿日期:2013-11-19 出版日期:2014-03-20 发布日期:2014-05-29
  • 通讯作者: 马明(1971- ),男,教授,博士,研究方向为可靠性理论与数理关系营销. E-mail:mm9252@qq.com
  • 作者简介:史爱玲(1981- ),女,讲师,硕士,研究方向为点过程理论在客户关系管理中的应用. E-mail:sailing317@163.com
  • 基金资助:
    国家自然科学基金资助项目(11361049);甘肃省科技计划资助项目(1308RJZA147);西北民族大学中央高校基本科研业务费专项资金资助项目(ZYZ2012079,ZYZ2012082)

Customer lifetime value and property with #br# homogeneous Poisson response

SHI Ai-ling1, MA Ming2*, ZHENG Ying2   

  1. 1. Normal School, Lanzhou University of Arts and Science, Lanzhou 730000, Gansu, China;
    2. School of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou 730030, Gansu, China
  • Received:2013-11-19 Online:2014-03-20 Published:2014-05-29

摘要: 目前客户关系营销逐渐成为营销的主要策略,而客户寿命价值在客户关系营销中具有关键的作用。基于截断δ冲击模型及其标值过程的理论,研究了齐次泊松营销系统的客户寿命分布,得到了任意时刻客户寿命价值和全周期客户寿命价值的期望、二阶矩和方差等随机性质。

关键词: CLV, 数理关系营销, 泊松营销系统, 客户寿命价值, 客户寿命

Abstract: Recently, the customer relationship management has become the main strategy of marketing, and customer lifetime value plays a key role in customer relationship management. Based on the censored  δ  shock model and its marked process, the probability distribution of customer lifetime of homogeneous Poisson marketing system was discussed, and the expectation, second moment and variance of the instantaneous customer lifetime value and the total customer lifetime value were obtained.

Key words: Poisson marketing system, customer lifetime, customer lifetime value, customer lifetime value, mathematical relationship marketing

[1] 马明,边莉娜,刘华. 基于事件点联合分布的自激滤过泊松过程的低阶矩[J]. 山东大学学报(理学版), 2018, 53(4): 55-58.
[2] 郑莹,马明*. 自激滤过的泊松过程的二阶矩[J]. J4, 2013, 48(09): 35-39.
[3] 冶建华,马明*,刘华. 基于贝叶斯分析的营销决策[J]. J4, 2012, 47(3): 98-102.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!