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A Note on ‘Random’ Purchasing: Additional Insights from Dunn, Reader and Wrigley

Barbara E. Kahn and Donald G. Morrison

Journal of the Royal Statistical Society Series C, 1989, vol. 38, issue 1, 111-114

Abstract: The most common method for testing the individual level Poisson assumption of the negative binomial distribution model of purchasing behaviour is to calculate the coefficient of variation (or its squared value, C2) for interpurchase times. In this paper we show that the effect of regularly scheduled shopping trips will underestimate the randomness of purchasing behaviour if the usual interpretation of the coefficient of variation is applied. We propose two models for ‘random’ purchasing behaviour that yield coefficients of variation which appear more regular than implied by the exponentially distributed interpurchase times of the Poisson process.

Date: 1989
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