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 …

In this paper, we introduce a discrete version of the Pseudo Lindley (PsL) distribution,
namely, the discrete Pseudo Lindley (DPsL) distribution, and systematically study its …

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 …

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 …

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 …

Based on the well-known Poisson (P) distribution and the new generalized Lindley
distribution (NGLD) developed by using gamma (α, θ) and gamma (α− 1, θ) distributions, a …

INAR models have the great advantage of being able to capture the conditional distribution
of a count time series based on their past observations, thus allowing it to be tailored to meet …

Count data are encountered in real-life dealings. More understanding of such data and the
extraction of important information about the data require some statistical analysis or …