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[Generalizing the NBD Model for Customer Purchases: What Are the Implications and Is It Worth the Effort?]: Reply

《推广顾客购买的 NBD 模型:有何影响,是否值得?》回复

Donald G. Morrison, David C. Schmittlein, [Generalizing the NBD Model for Customer Purchases: What Are the Implications and Is It Worth the Effort?]: Reply, Journal of Business & Economic Statistics, Vol. 6, No. 2 (Apr., 1988), pp. 165-166

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Generalizing the NBD Model for Customer Purchases: What Are the Implications and Is It Worth the Effort?

客户购买负二项模型的推广:有何影响,是否值得?

An often-used scenario in marketing is that of individuals purchasing in a Poisson manner with their purchasing rates distributed gamma across the population of customers. Ehrenberg (1959) introduced the marketing community to this story and the resulting negative binomial distribution (NBD), and during the past 30 years the NBD model has been shown to work quite well. But the basic gamma/Poisson assumptions lack some face validity. In many product categories, customers…

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Some Sampling Properties of a Model for Income Distribution

收入分布模型的若干抽样性质

A recently proposed model for describing the distribution of income over a population, based on the Burr distribution, has been shown to fit better than the commonly used lognormal or gamma distributions. The current article extends that analysis by deriving the large-sample properties of the maximum likelihood estimates for this three-parameter model. Consequently, resulting confidence intervals for some measures of income inequality (including the Gini index) are used to…

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