The generalization of the classical distributions is an old practice and has been considered
as precious as many other practical problems in statistics. These generalizations started with …

The present article represents a survey on Poisson generated family of distributions. Based
on this family of distribution, several transformations and distributions have been proposed …

In this paper, a new lifetime distribution is defined and studied. We refer to the new
distribution as alpha power Weibull distribution. The importance of the new distribution …

One of the most important applications of statistical analysis is in health research and
applications. Cancer studies are mostly required special statistical considerations in order to …

This study focuses on a novel family of distributions inspired by the hyperbolic sine function.
The Rayleigh distribution is the base model for the newly formed family of distributions …

Modeling insurance data using heavy-tailed distributions is of great interest for actuaries.
Probability distributions present a description of risk exposure, where the level of exposure …

In this paper, we use the method of the alpha power transformation to introduce a new
generalized alpha power inverse Weibull (APIW) distribution. Its characterization and …

The study's major goal is to design a superior creative distribution by using the
Kumaraswamy-G family of distributions to power Frechet distribution. The Kumaraswamy …

In recent years, statisticians have become more and more interested in the study of mixture
models, especially in the last decade, without adequately considering the difficulty of …

In this paper, we introduce the Marshall–Olkin alpha power family of distributions to extend
the alpha power transform class defined by Mahdavi and Kundu (2017) and several other …