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Modelling and analysis of count data using a renewal process


  • Faddy, M. J.


The Poisson process may be generalised by an ordinary renewal process with the times between renewals following a gamma distribution. Over- (under-) dispersion of the distribution of the number of renewals relative to the Poisson distribution is the result, according as the coefficient of variation of this gamma distribution is > 1 (

Suggested Citation

  • Faddy, M. J., 1996. "Modelling and analysis of count data using a renewal process," Statistics & Probability Letters, Elsevier, vol. 31(2), pages 129-132, December.
  • Handle: RePEc:eee:stapro:v:31:y:1996:i:2:p:129-132

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    References listed on IDEAS

    1. Philippou, Andreas N. & Georghiou, Costas & Philippou, George N., 1983. "A generalized geometric distribution and some of its properties," Statistics & Probability Letters, Elsevier, vol. 1(4), pages 171-175, June.
    2. Godbole, Anant P., 1990. "Specific formulae for some success run distributions," Statistics & Probability Letters, Elsevier, vol. 10(2), pages 119-124, July.
    3. Philippou, Andreas N. & Makri, Frosso S., 1986. "Successes, runs and longest runs," Statistics & Probability Letters, Elsevier, vol. 4(2), pages 101-105, March.
    4. Philippou, Andreas N. & Makri, Frosso S., 1986. "Successes, runs and longest runs," Statistics & Probability Letters, Elsevier, vol. 4(4), pages 211-215, June.
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    Cited by:

    1. Hagmark, Per-Erik, 2008. "On construction and simulation of count data models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(1), pages 72-80.


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