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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

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] MA Ming, BIAN Li-na, LIU Hua. Low order moments of self-excited filtered Poisson processes based on joint distribution of event points [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(4): 55-58.
[2] ZHENG Ying, MA Ming*. Second moment of selfexciting filter poisson process [J]. J4, 2013, 48(09): 35-39.
[3] YE Jian-hua, MA Ming*, LIU Hua. Marketing expenditure decision under Bayesian analysis [J]. J4, 2012, 47(3): 98-102.
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