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 paper, a new regression model for count response variable is proposed via re-
parametrization of Poisson quasi-Lindley distribution. The maximum likelihood and method …

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 …

This paper focuses on the derivation of a new two-parameter discrete probability distribution.
The new model is derived by mixing Poisson and Loai distributions and is named" Poisson …

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

Food safety in developing countries has always been a concern, and deciding to purchase
foods with a healthy label can be challenging. The goal of this study was to investigate the …

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 arise in inference, modeling, prediction, anomaly detection, monitoring, resource
allocation, evaluation, and performance measurement. This paper focuses on a one …

The significance of count data modeling and its applications to real-world phenomena have
been highlighted in several research studies. The present study focuses on a two-parameter …

Mixed-Poisson distributions have been used in many fields for modeling the over-dispersed
count data sets. To open a new opportunity in modeling the over-dispersed count data sets …