References
- Aitchinson, J., Ho, C. (1989). The multivariate Poisson-log normal distribution. Biometrika 75: 621–629.
- Al-Zaid, A.A., Omair, M.A. (2010). On the poisson difference distribution inference and applications. Bulletin of the Malaysian Mathemat. Sci. Soc. 8(33):17–45.
- Boucher, J.P., Michel, D., Montserrat, G. (2008). Models of insurance claim counts with time dependence based on generalization of poisson and negative binomial distributions. Variance 2(1):135–162.
- Cheon, S., Song, S.H., Jung, B.C. (2009). Tests for independence in a bivariate negative binomial model. J. Kor. Statist. Soc. 38:185–190.
- Irwin, J.O. (1937). The frequency distribution of the difference between two independent variates following the same Poisson distribution. J. Roy. Statist. Soc. Ser. A 100:415.
- Johnson, N.L., Kotz, S. (1969). Distributions in statistics: Discrete Distribution. New York: Wiley and Sons.
- Johnson, N., Kotz, S., Balakrishnan, N. (1997). Multivariate Discrete Distributions. New York: Wiley.
- Karlis, D., Ntzoufras, I. (2003). Analysis of Sports data by using bivariate Poisson models. J. Roy. Statist. Soc. D Statistician 52:381–393.
- Karlis, D., Meligkotsidou, L. (2007). Finite multivariate Poisson mixtures with applications. J. Statist. Plann. Infer. 137:1942–1960.
- Karlis, D., Ntzoufras, I. (2008). Bayesian modeling of football outcomes: Using the skellam distribution for the goal difference. J. Manag. Math. 20(2):133–145.
- Nikoloulopoulos, A.K., Karlis, D. (2009). Finite normal mixture copulas for multivariate discrete data modeling. J. Statist. Plann. Infer. 139(11):3878–3890.
- Kocherlakota, S., Kocherlakota, K. (1992). Bivariate Discrete Distributions, Statistics: Textbooks and Monographs. vol. 44. New York: Markel Dekker.
- Kocherlakota, S., Kocherlakota, K. (1997). Bivariate discrete distributions. In: Kotz, S., Read, C.B., Banks, D.L., Eds., Encyclopedia of Statistical Sciences-Update. vol. 44, New York: Wiley, pp 68–83.
- Marshall, A.W., Olkin, I. (1990). Multivarirate distribution generated from mixtures of convolution and product families, pp. 371–393. Topics in Statistical Dependence, Block, Sampson y Sanits, Eds., Institute of Mathematical Statistics.
- McKendric, A.G. (1926). Applications of mathematics to medical problems. Proc. Edinburgh Math. Soc. 44:98–130.
- Papageorgiou, H. (1997). Multivariate discrete distributions. In: Kotz, C.B., Read, S., Banks, D.L., Eds., Encyclopedia of Statistical Sciences-Update. vol. 44, New York: Wiley, pp 408–419.
- Prékopa, A. (1953). On composed Poisson distributions. IV. Remarks on the theory of differential processes. Acta Math. Acad. Sci. Hungar. 3:317–325.
- Skellam, J.G. (1946). The frequency distribution of the difference between two poisson variates belonging to different populations. J. Roy. Statist. Soc. Ser. A109–296.