In this paper, we propose and study a new probability mass function by creating a natural
discrete analog to the continuous Lindley distribution as a mixture of geometric and negative …

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 this study, a discrete inverted Topp-Leone (DITL) distribution is proposed by utilizing the
survival discretization approach. The proposed distribution's mathematical features were …

The paper presents a novel statistical approach for analyzing the daily coronavirus case and
fatality statistics. The survival discretization method was used to generate a two-parameter …

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 …

In this work, a new discrete distribution which includes the discrete Burr-Hatke distribution is
defined and studied. Relevant statistical properties are derived. The probability mass …

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 …

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 …