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 …

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 …

In this paper, an alternative mixed Poisson distribution is proposed by amalgamating
Poisson distribution and a modification of the Quasi Lindley distribution. Some fundamental …

In this article, a new mixed Poisson distribution is introduced. This new distribution is
obtained by utilizing mixing process, with Poisson distribution as mixed distribution and …

The analysis and modeling of zero truncated count data is of primary interest in many elds
such as engineering, public health, sociology, psychology, epidemiology. Therefore, in this …

In this paper, a new Three-parameter Poisson-Lindley distribution (NTPPLD), of which
Shanker and Mishra's [17] Two-parameter Poisson-Lindley distribution and Sankaran's [10] …

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 …

Mixed Poisson distributions are a class of distributions arising from the Poisson mean
fluctuating as a random variable. Mixed Poisson distributions have been applied in diverse …

Proportional data arise frequently in a wide variety of fields of study. Such data often exhibit
extra variation such as over/under dispersion, sparseness and zero inflation. For example …

In this article, we derive a new generalized geometric distribution through a weight function,
which can also be viewed as a discrete analog of weighted exponential distribution …