While the Poisson distribution is a classical statistical model for count data, the distributional
model hinges on the constraining property that its mean equal its variance. This text instead …

Excessive zeros in multivariate count data are often observed in scenarios of biomedicine
and public health. To provide a better analysis on this type of data, we first develop a …

This paper investigates control charts for count data with a significant number of zeros. The
proposed models are generalized to handle data exhibiting different types of dispersion, ie …

Abstract The zero‐inflated Conway‐Maxwell Poisson (ZICMP) distribution models count
data with many zero observations. ZICMP model has been developed assuming that zero …

In this article, we develop a new class of multivariate distributions adapted for count data,
called Tree P {\'o} lya Splitting. This class results from the combination of a univariate …

The present work reviews distributions for counting data: Poisson; Negative Binomial; COM-
Poisson and Generalized Poisson, and their regression models. Aspects such as parameter …