Abstract
A summary of Kriz's (1972) paper concerning an urn model for the PMP distribution is given. Extensions of the model are made, considering cases in which the urns are not drawn from independently. Possible applications of the extended model in some epidemiological situations are suggested, and a simple computer algorithm for simulating the distribution is given. Results of a simple simulation based on May's (1986) paper are given.
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References
Johnson, N.L., Kotz, S., and Balakrishnan, N. (1993).Discrete Multivariate Distributions, New York: Wiley, p. 201.
Kriz, J. (1972). Die PMP-Verteilung, Statistische Hefte,15, pp. 211–224.
May, Robert M. (1986). Population Biology of Microparasitic Infections, Biomathematics, Vol. 17,Mathematical Ecology, pp. 405–442.
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Jackson, J.B. Some extensions and applications of Kriz's (1972) urn model. Statistical Papers 40, 125–142 (1999). https://doi.org/10.1007/BF02925513
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DOI: https://doi.org/10.1007/BF02925513