Adding Risk in Measuring Customer Value Using Bivariate Hierarchical Bayesian Approach

Wang Hai-wei, Jiang Ming-hui, Wang Ya-lin
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Abstract

Hierarchical Bayesian approach to predict changes in individual customer behavior is deemed successful, but often assume that the irrelevance between purchase interval and money. In many situations, this assumption may not be valid. In this paper we proposed bivariate hierarchical Bayesian approach, which allows correlation between them, and can educe conditional probability density function of purchase interval or money. The model is applied to medical instruments sale data to predict customer changes and shows more precise than traditional models. Based on distribution of customer behavior, the concept of customer risk is brought out, including churn risk, decline risk and fluctuating risk, which can be calculated using probability density curve. This value prediction considering risk can be used managerially as a signal for the firm to use some type of intervention to keep that customer
双变量层次贝叶斯方法在客户价值度量中的添加风险
层次贝叶斯方法预测个体顾客行为的变化被认为是成功的,但通常假设购买间隔与金钱无关。在许多情况下,这种假设可能是无效的。本文提出了二元层次贝叶斯方法,该方法允许它们之间的相关性,并可以导出购买间隔或金钱的条件概率密度函数。将该模型应用于医疗器械销售数据中预测客户变化,结果表明该模型比传统模型更准确。在分析客户行为分布的基础上,提出了客户风险的概念,包括客户流失风险、下降风险和波动风险,并利用概率密度曲线计算客户风险。这种考虑风险的价值预测可以在管理上作为一个信号,让公司使用某种类型的干预来留住客户
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