A new generalized Poisson-Lindley distribution is obtained by compounding Poisson
distribution with a two parameter generalised Lindley distribution. The new distribution is …

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 …

We propose a new discrete model by combining the Poisson and transmuted record type
exponential distribution. Its main statistical properties are studied. The new distribution is …

A two-parameter transmuted geometric distribution is proposed as a new generalization of
the geometric distribution by employing the quadratic transmutation techniques of Shaw and …

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 …

Many real-life situations contain count data with an excessive number of zeros. Such
situations can be explained by a zero-inflated geometric distribution (ZIG). The score …

Background: Different discretization methods have been proposed to provide a better fit to
count observations with characteristics resembling a given continuous distribution. This is …

ABSTRACT A new discrete distribution involving geometric and discrete Pareto as special
cases is introduced. The distribution possesses many interesting properties like decreasing …

The Poisson regression model is vulnerable for overdispersion in the data when estimating
model parameters and their standard errors. Overdispersion may occur due to outliers in the …

Count time series frequently exhibit multiple features such as zero inflation, zero deflation,
overdispersion, and underdispersion. In practice, heavy-tailedness and zero truncation are …