Summary
A general dependent bivariate Poisson model is defined, and a corresponding dependent bivariate model for the number of survivors from the original Poisson population.
This ‘damage’ model is then characterized by the equivalence of the conditional distributions, under different survival patterns of no damage or partial damage. This characterization is an extension of earlier work by Rao and Rubin, and by Talwalker.
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References
Kemp, C. G. and Kemp, A. W. (1965). Biometrika 52, 381–394.
Rao, C. R. (1963). In Classical and Contagious Discrete Distributions, G. P. Patil (ed.). Statistical Publishing Society, Calcutta, 320–332.
Rao, C. R. and Rubin, H. (1964). Sankhyā Ser A 26, 295–298.
Talwalker, S. (1970). Sankhyā Ser A 32, 265–270.
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© 1975 D. Reidel Publishing Company, Dordrecht-Holland
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Ord, K. (1975). A Characterization of a Dependent Bivariate Poisson Distribution. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1848-7_26
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DOI: https://doi.org/10.1007/978-94-010-1848-7_26
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