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

In most cases, count data have higher variances than means; hence using the Poisson
distribution to model such observations is misleading because of the equality of the Poisson …

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

Statistical process control (SPC) is a significant method to monitor processes and ensure
quality. Control charts are the most important tools in SPC. As production processes and …

This study proposes a new discrete distribution in the mixed Poisson paradigm to obtain a
distribution that provides a better fit to skewed and dispersed count observation with excess …

Count data consists of both observed and unobserved events. The analysis of count data
often encounters overdispersion, where traditional Poisson models may not be adequate. In …

Two families of bivariate discrete Poisson–Lindley distributions are introduced. The first is
derived by mixing the common parameter in a bivariate Poisson distribution by different …

In this study, a new three-parameter mixed Poisson Cubic Rank Transmuted New Weighted
Exponential Distribution is proposed. The new discrete distribution is obtained by mixing the …

Count data are usually dispersed (variation between mean and variance) and hence cannot
be efficiently modelled using any of the classical distributions like the Poisson distribution …