P.-E. Hagmark, “On Construction and Simulation of Count Data Models,” Mathematics and Computers in Simulation, Vol. 77, No. 1, 2008, pp. 72-80. doi:10.1016/j.matcom.2007.01.037
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.