In this paper a new generalization of the hyper-Poisson distribution is proposed using the
Mittag-Leffler function. The hyper-Poisson, displaced Poisson, Poisson and geometric …

This paper considers a particular generalized inverse trinomial distribution which may be
regarded as the convolution of binomial and negative distributions for the statistical analysis …

In this paper, we examine some often ignored or assumed problems relating with fitting
probability models to count data either exhibiting over, equi, or under dispersion. Of …

In this paper, we t the hyper-Poisson, and the Mittag-Leer function (MLFD) distributions to
data exhibiting over and under dispersion. Three frequency data sets were employed with …

The Poisson inverse Gaussian and generalized Poisson distributions are widely used in
modelling overdispersed count data which are commonly found in healthcare, insurance …

In this paper we compare the performances of several two parameter discrete distributions in
modeling over-dispersed count data. Particularly, we are interested in the performances of …

In this paper we have applied zero-truncated univariate and bivariate distributions to the
NHIS data with two outcomes variables that are strongly over dispersed. Because of strong …

In this paper, we apply the inverse trinomial distribution with parameters (p, q, λ) to count
data exhibiting over-dispersion. We compare results for the mean parameterized inverse …