In this paper, a new two-parameter discrete distribution is introduced. It belongs to the family
of the weighted geometric distribution (GD), with the feature of using a particular …

We consider two classes of exponential dispersion models of discrete probability
distributions which are defined by specifying their variance functions in their mean value …

In their fundamental paper on cubic variance functions (VFs), Letac and Mora (The Annals of
Statistics, 1990) presented a systematic, rigorous and comprehensive study of natural …

Abstract Undeniably, the Novel Coronavirus 2019,(COVID-19), has disrupted the routine
functioning of the global economic and social activities. In particular, vulnerable economies …

This paper introduces a flexible discrete transmuted record type discrete Burr–Hatke (TRT-
DBH) model that seems suitable for handling over-dispersion and equi-dispersion in count …

In this paper, a discrete one-parameter distribution called the semi-Poisson distribution is
introduced, which is based on a set of non-negative integers. It is seen that this distribution …

The large arcsine exponential dispersion model (LAEDM) is a class of three-parameter
distributions on the non-negative integers. These distributions show the specific …

In this paper, based on the discretization method, we construct a new 2-parameter regularly
varying discrete distribution generated by Waring-type probability (2-RDWP). Some useful …

In this study, we propose a non-negative integer-valued model based on the sum of Poisson-
Lindley and geometric distributions. We show that it corresponds to the weighted geometric …

In this paper, we consider one-parameter regularly varying discrete distribution generated
by Levy probability (RDLP). Some useful plots of the models are illustrated. Mathematically …