Naufel J. Vilcassim, Dipak C. Jain, Modeling Purchase-Timing and Brand-Switching Behavior Incorporating Explanatory Variables and Unobserved Heterogeneity, Journal of Marketing Research, Vol. 28, No. 1 (Feb., 1991), pp. 29-41
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Vilcassim et al. (1991) studied this question.
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