Predicting and modeling time-to-events data is a crucial and interesting research area. For
modeling and predicting such types of data, numerous statistical models have been …

In the literature of distribution theory, a vast proportion is acquired by discrete distributions
and their applications in real-world phenomena. However, in a rapidly changing …

This study proposes a new one-parameter discrete distribution, called a discrete Bilal
distribution. The structural properties of the proposed distributions, including the shape of …

This study proposes new statistical tools to analyze the counts of the daily coronavirus cases
and deaths. Since the daily new deaths exhibit highly over-dispersion, we introduce a new …

In the statistical literature, several discrete distributions have been developed so far.
However, in this progressive technological era, the data generated from different fields is …

Various discrete lifetime distributions have been observed in real data analysis. Numerous
discrete models have been derived from a continuous distribution using the survival …

In this study, a new one‐parameter count distribution is proposed by combining Poisson and
XLindley distributions. Some of its statistical and reliability properties including order …

In this paper, a flexible probability mass function is proposed for modeling count data,
especially, asymmetric, and over-dispersed observations. Some of its distributional …

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 …

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 …