In this paper, we further study the Conway–Maxwell Poisson distribution having one more
parameter than the Poisson distribution and compare it with the Poisson distribution with …

This paper studies properties of parameter estimators obtained by minimizing a distance
between the empirical probability generating function and the probability generating function …

A class of tests for the two-sample problem for count data whose test statistic is an L 2-norm
of the difference between the empirical probability generating functions associated with …

Maximum likelihood (ML) estimation is a popular method for parameter estimation when
modeling discrete or count observations but unfortunately it may be sensitive to outliers …

A goodness-of-fit test for one-parameter count distributions with finite second moment is
proposed. The test statistic is derived from the L 1-distance of a function of the probability …

This article proposes a bivariate generalization of the noncentral negative binomial
distribution which arises as a model in photon and neural counting. This bivariate …

This paper considers the construction of a family of discrete distributions with the flexibility to
cater for under-, equi-and over-dispersion in count data using a finite mixture model based …

Abstract The Expectation Maximization (EM) algorithm, a popular method for maximum
likelihood estimation of parameters, requires a complete data space and construction of a …

The convolution of two binomial random variables has appeared in various settings such as
a model in machine maintenance and as a Markov chain model. This article presents a …

The two-parameter strict arcsine distribution as a member of the natural exponential family
with cubic variance function has been shown to be a viable candidate for statistical analysis …