Repeat-Buying and the Generalized Inverse Gaussian-Poisson Distribution
将重复购买理论中的家庭平均购买水平分布从传统的伽马分布扩展到更广泛的分布族,提出广义逆高斯-泊松分布模型,并在负二项分布表现不佳的实例中验证了新模型的有效性。
SUMMARY In this article the repeat-buying theory, as originally introduced by Ehrenberg, Chatfield and Goodhardt, has been extended to include, for the mixing of the average purchase levels of individual households, a wider family of distributions, of which the traditional gamma is just a special case. Examples are presented for which the Negative Binomial distribution performs poorly but for which the new model gives an adequate representation of the observed facts.