This study proposes a new one-parameter discrete distribution, called a discrete Bilal
distribution. The structural properties of the proposed distributions, including the shape of …

The aim of this article is to propose a new three-parameter discrete Lindley distribution. A
wide range of its structural properties are investigated. This includes the shape of the …

In this study, a new two-parameter mixed-Poisson distribution is proposed. Statistical
properties of the proposed distribution are studied comprehensively. The maximum …

A Poisson distribution is commonly used as the innovation distribution for integer-valued
autoregressive models, but its mean is equal to its variance, which limits flexibility, so a …

This study introduces the Poisson-Bilal distribution and its associated two models for
modeling the over-dispersed count data sets. The Poisson-Bilal distribution has tractable …

In this paper, the first-order non-negative integer-valued autoregressive process with
Poisson-transmuted exponential innovations is introduced. Three estimation methods …

In this paper, a first-order integer-valued autoregressive (INAR (1)) model with zero-and-one
inflated Poisson–Lindley distributed innovations is presented. It is shown that the model …

In this study, a new one-parameter discrete distribution obtained by compounding the
Poisson and xgamma distributions is proposed. Some statistical properties of the new …

Count data frequently exhibit overdispersion, zero inflation and even heavy-tailedness (the
tail probabilities are non-negligible or decrease very slowly) in practical applications. Many …

The continuous Teissier distribution was proposed by the French biologist Georges Teissier
in 1934. This paper introduces the one-parameter discrete analogue distribution and studies …