This paper proposes a new customer lifetime model: the Gamma/Weibull distribution (G/W). Similar to the Pareto/NBD model, we propose a G/W/NBD model by combining the G/W distribution with a negative binomial distribution (NBD) and study its properties such as (i) the probability that a customer to be alive at a time point; (ii) the expectation and variance of the number of transactions for a customer during a fixed time period; (iii) the conditional expectation and conditional variance of the number of future transactions for a customer during a fixed time period. Several simulation studies are conducted to investigate the forecasting accuracy and flexibility of the proposed model. A CDNOW data set is analyzed by the proposed model.

中文翻译：

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Gamma / Weibull客户生命周期模型

本文提出了一种新的客户生命周期模型：Gamma / Weibull分布（G / W）。与Pareto / NBD模型类似，我们通过组合G / W分布和负二项式分布（NBD）来提出G / W / NBD模型，并研究其属性，例如（i）客户在其中存活的概率一个时间点；（ii）客户在固定时间内的交易次数的预期和差异；（iii）固定时间段内客户未来交易数量的条件期望和条件方差。进行了一些仿真研究，以研究所提出模型的预测准确性和灵活性。CDNOW数据集通过提出的模型进行了分析。