1987
DOI: 10.1016/0377-2217(87)90189-5
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Stochastic models of consumer behaviour

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Cited by 39 publications
(11 citation statements)
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“…The negative binomial distribution used below results from the homogeneous Poisson distribution by assuming that the conditional mean λ follows a Gamma distribution. A detailed substantiation of the negative binomial distribution for modeling heterogeneity in consumer behavior was previously provided by Ehrenberg (1959) as well as Wagner and Taudes (1987), for instance. In addition to this behavior-oriented motivation, there is also a more technical one.…”
Section: The Negative Binomial Regression Approachmentioning
confidence: 99%
“…The negative binomial distribution used below results from the homogeneous Poisson distribution by assuming that the conditional mean λ follows a Gamma distribution. A detailed substantiation of the negative binomial distribution for modeling heterogeneity in consumer behavior was previously provided by Ehrenberg (1959) as well as Wagner and Taudes (1987), for instance. In addition to this behavior-oriented motivation, there is also a more technical one.…”
Section: The Negative Binomial Regression Approachmentioning
confidence: 99%
“…choice, as has been pointed out in several reviews (see, e.g., Robertson and Hassarjiam, 1991;Wagner and Wright, 1994;Maurai, 1995).…”
mentioning
confidence: 87%
“…The purchases of a consumer in successive periods follow a Poisson distribution with a certain long-run average . The purchases of a consumer follow a Poisson distribution in subsequent periods if a purchase tends to be independent of previous purchases (as is often observed) and a purchase occurs in such an irregular manner that it can be regarded as if random (see Wagner and Taudes [Wagner and Taudes, 1987] A -distribution of the in the population may have the following reason (see Ehrenberg [Ehrenberg, 1988, p. 259]): If for different products È É Ê Ë the average purchase rate of È is independent of the purchase rates of the other products, and È È ·É·Ê·Ë· µ is independent of a consumer's total purchase rate of buying all the products, then it can be shown that the distribution of must be . These independence conditions are likely to hold approximately in practice (see e.g.…”
Section: Ehrenberg´s Repeat-buying Theory and Bundles Of Information mentioning
confidence: 99%