A review of multivariate distributions for count data derived from the Poisson distribution
A review of multivariate distributions for count data derived from the Poisson distribution
The Poisson distribution has been widely studied and used for modeling univariate count-valued data. Multivariate generalizations of the Poisson distribution that permit dependencies, however, have been far less popular. Yet, real-world high-dimensional count-valued data found in word counts, genomics, and crime statistics, for example, exhibit rich dependencies, and motivate the …