Some extensions and applications of Kriz's (1972) urn model
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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.
Keywords
Recurrence Formula Replacement Policy Recursion Equation Circular Arrangement Trial Color
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References
- Johnson, N.L., Kotz, S., and Balakrishnan, N. (1993).Discrete Multivariate Distributions, New York: Wiley, p. 201.Google Scholar
- Kriz, J. (1972). Die PMP-Verteilung, Statistische Hefte,15, pp. 211–224.CrossRefGoogle Scholar
- May, Robert M. (1986). Population Biology of Microparasitic Infections, Biomathematics, Vol. 17,Mathematical Ecology, pp. 405–442.Google Scholar
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© Springer-Verlag 1999