In this paper, we introduce a novel probability distribution called the Lambert-Rayleigh (LR)
distribution to address limitations observed in existing distributions, particularly the Rayleigh …

In this study, the New Extended Rayleigh (NER) distribution which was developed from the
New Extended-X family of distributions. It was designed to have a better fit for modeling real …

The quest to develop new probability distributions has increased in the past decades. This is
attributed to researchers finding a good distribution that adequately fits some data …

In this article, a one‐parameter probability mass function called Poisson XRani is proposed
by combining the Poisson and the XRani distributions. A wide range of distributional …

This article models the mortality and survival rates of COVID-19 patients using a new
distribution named Gompertz Chris-Jerry distribution. The proposed model is left-skewed …

In this article, a new distribution is proposed to innovate the Perks distribution by altering its
functional form without introducing additional parameter. The proposed distribution is named …

This study is a generalization of the length-biased and weighted Chris-Jerry distribution. It
introduces an additional scale parameter to make the distribution more flexible. The …