A new generalization of the discrete Poisson distribution was introduced by Consul and Jain (1970, 1973) and studied by Charalambides (1974), Kumar and Consul (1979), Janardan and Schaeffer (1977), Janardan el al. (1979), Consul and Shoukri (1984, 1985), and many others. This model contains two parameters and possesses the over-dispersion and the underdispersion properties which make it a good descriptive model for aggregation patterns in biology, ecology and many other disciplines. Although the negative binomial distribution possesses the over-dispersion property, it is found that the parametric structure of the generalized Poisson distribution (GPD) permits a relatively simpler inferential procedure.
- Infected Individual
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© 1987 D. Reidel Publishing Company, Dordrecht, Holland
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Shoukri, M.M., Consul, P.C. (1987). Some Chance Mechanisms Generating the Generalized Poisson Probability Models. In: MacNeill, I.B., Umphrey, G.J., Donner, A., Jandhyala, V.K. (eds) Biostatistics. The University of Western Ontario Series in Philosophy of Science, vol 38. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4794-8_15
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