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

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  • Barbara E. Kahn
  • Donald G. Morrison

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.

Suggested Citation

  • Barbara E. Kahn & Donald G. Morrison, 1989. "A Note on ‘Random’ Purchasing: Additional Insights from Dunn, Reader and Wrigley," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 38(1), pages 111-114, March.
    • Handle: RePEc:bla:jorssc:v:38:y:1989:i:1:p:111-114
    DOI: 10.2307/2347685
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    Cited by:

    1. Bockenholt, Ulf, 1998. "Mixed INAR(1) Poisson regression models: Analyzing heterogeneity and serial dependencies in longitudinal count data," Journal of Econometrics, Elsevier, vol. 89(1-2), pages 317-338, November.
    2. Schweidel, David A. & Fader, Peter S., 2009. "Dynamic changepoints revisited: An evolving process model of new product sales," International Journal of Research in Marketing, Elsevier, vol. 26(2), pages 119-124.

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