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Repeat‐Buying and the Generalized Inverse Gaussian–Poisson Distribution

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  • H. S. Sichel

Abstract

In this article the repeat‐buying theory, as originally introduced by Ehrenberg, Chatfield and Goodhardt, has been extended to include, for the mixing of the average purchase levels of individual households, a wider family of distributions, of which the traditional gamma is just a special case. Examples are presented for which the Negative Binomial distribution performs poorly but for which the new model gives an adequate representation of the observed facts.

Suggested Citation

  • H. S. Sichel, 1982. "Repeat‐Buying and the Generalized Inverse Gaussian–Poisson Distribution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 31(3), pages 193-204, November.
  • Handle: RePEc:bla:jorssc:v:31:y:1982:i:3:p:193-204
    DOI: 10.2307/2347993
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    Cited by:

    1. Charles N. Haas, 2002. "Conditional Dose‐Response Relationships for Microorganisms: Development and Application," Risk Analysis, John Wiley & Sons, vol. 22(3), pages 455-463, June.

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