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    A CHACUN SA COMPTABILITE - MEME PAS

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    International audienceCET ARTICLE ETUDIE LA COMPTABILITÉ POUR LES ACTEUR

    Stochastic modeling of consumer purchase behavior : I. Analytical Results

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    This paper develops alternative brand purchase models. These models are based on distinct assumptions about the product class purchasing process over a fixed time-period. In each case, the brand choice process conditioned on a product purchase being made is assumed to be heterogeneous zero order. New analytical closed-form results are derived. These results include various market statistics such as the brand penetration, the mean and variance of the brand purchase distribution and the aggregate brand purchase distribution itself. These theoretical expressions are based on the assumption of independence between brand choice probability and mean product purchase rate across the population

    The Dirichlet distribution as a model of brand choice : further testing

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    This paper provides further evidence on the appropriateness of the Dirichlet model for modeling brand choice. A simple estimation procedure is used and the model is tested on consumer panel data for three product categories (margarine, regular coffee and instant coffee). The results show that a) the model tends to underpredict the proportion of light users of a brand, b) compared to the Hendry model and to the Switching law, it provides an acceptable fit to aggregate switching data over consecutive choice occasions, and c) it gives an adequate description of the correlation between relative frequencies of choice across consumers. Consistently with previous studies, the Hendry model tends to overestimate repeat purchase whereas the switching law, likethe Dirichlet model, does not indicate any systematic deviation in its predictions of Switching behavior

    Stochastic modeling of consumer purchase behavior : II Applications

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    This paper tests four alternative composite models of market behavior over a set of consumer panel data for three product categories (margarine, regular coffee and instant coffee). Three of these models are based on various (Condensed) NBD models to describe product purchase distributions. The fourth composite model involves the compound Inverse Gaussian distribution as a purchase timing model. In each case, the beta binomial distribution represents brand choice. The empirical results demonstrate the robustness of the NBD model to departures from its assumptions. The fit provided by the composite model involving the well-known NBD mode 1 as a purchase incidence model is best among all alternative models. The gamma distribution seems to give a better description of heterogeneity than the natural conjugate family of distribution for the Inverse Gaussian (IG) distribution. On the other hand, the IG distribution provides an adequate fit to individual interpurchase times. However, the superiority of the fit at the individual level does not offset the lack of adequacy of the model for heterogeneity in purchasing behavior across consumers

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