| 齐次泊松响应的客户寿命值及性质 |
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| 引用本文： | 史爱玲,马明,郑莹.齐次泊松响应的客户寿命值及性质[J].山东大学学报(自然科学版),2014(3):96-100. |
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| 作者姓名： | 史爱玲 马明 郑莹 |
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| 作者单位： | [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 |
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| 基金项目： | 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） |
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| 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。
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| 关 键 词： | 数理关系营销 泊松营销系统 客户寿命 客户寿命价值 CLV |
Customer lifetime value and property with homogeneous Poisson response |
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| SHI Ai-ling,MA Ming,ZHENG Ying.Customer lifetime value and property with homogeneous Poisson response[J].Journal of Shandong University(Natural Science Edition),2014(3):96-100. |
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| Authors: | SHI Ai-ling MA Ming ZHENG Ying |
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| Institution: | 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) |
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| 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 dis-cussed, and the expectation, second moment and variance of the instantaneous customer lifetime value and the total cus-tomer lifetime value were obtained. |
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| Keywords: | mathematical relationship marketing Poisson marketing system customer lifetime customer lifetime val-ue customer lifetime value |
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