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J. Castillo and M. Perez-Casany, “Over-Dispersed and Under-Dispersed Poisson Generalizations,” Journal of Statistical Planning and Inference, Vol. 134, No. 2, 2005, pp. 486-500. doi:10.1016/j.jspi.2004.04.019

has been cited by the following article:

• TITLE: An Exceptional Generalization of the Poisson Distribution

  AUTHORS: Per-Erik Hagmark

  KEYWORDS: Count Data; Gamma Function; Poisson Generalization; Discretization; Modeling; Over/Under-Dispersion; Zero-Inflation/Deflation

  JOURNAL NAME: Open Journal of Statistics, Vol.2 No.3, July 6, 2012

  ABSTRACT: A new two-parameter count distribution is derived starting with probabilistic arguments around the gamma function and the digamma function. This model is a generalization of the Poisson model with a noteworthy assortment of qualities. For example, the mean is the main model parameter; any possible non-trivial variance or zero probability can be attained by changing the other model parameter; and all distributions are visually natural-shaped. Thus, exact modeling to any degree of over/under-dispersion or zero-inflation/deflation is possible.