@platzer2016pggg presented another extension of the Pareto/NBD model. The Pareto/GGG generalizes the distribution for the intertransaction times from the exponential to the Gamma distribution, whereas its shape parameter $k$ is also allowed to vary across customers following a $\text{Gamma}(t, \gamma)$ distribution. Hence, the purchase process follows a Gamma-Gamma-Gamma (GGG) mixture distribution, that is capable of capturing a varying degree of regularity across customers. For datasets which exhibit regularity in their timing patterns, and the degree of regularity varies across the customer cohort, leveraging that information can yield significant improvements in terms of forecasting accuracy. This results from improved inferences about customers' latent state in the presence of regularity.
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