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Markov death process modelling and analysis of binary data

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  • Faddy, M. J.

Abstract

It is shown that any discrete distribution with finite support has a representation in terms of a general Markov death process with transition rates [mu]i (i [greater-or-equal, slanted] 0), the binomial distribution corresponding to a linear sequence of these [mu]i. Accordingly, log-linear forms for [mu]i/i will provide generalisations of the binomial distribution. Such modelling is illustrated with reference to published data-sets on surviving foetuses in animal pregnancies, where models are constructed which fit the data reasonably well and offer useful interpretations in terms of the actual process of foetal death.

Suggested Citation

  • Faddy, M. J., 1998. "Markov death process modelling and analysis of binary data," Statistics & Probability Letters, Elsevier, vol. 40(1), pages 9-13, September.
    • Handle: RePEc:eee:stapro:v:40:y:1998:i:1:p:9-13
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    Cited by:

    1. M. J. Faddy & D. M. Smith, 2005. "Modeling the Dependence between the Number of Trials and the Success Probability in Binary Trials," Biometrics, The International Biometric Society, vol. 61(4), pages 1112-1114, December.

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