Generalizing distributions is an old practice and has ever been considered as precious as
many other practical problems in statistics. It simply started with defining different …

Birnbaum and Saunders introduced a two‐parameter lifetime distribution to model the
fatigue life of a metal, subject to cyclic stress. Since then, extensive work has been done on …

We introduce a general method for obtaining more flexible new distributions by
compounding the extended Weibull and power series distributions. The compounding …

The cure fraction models are usually used to model lifetime time data with long-term
survivors. In the present article, we introduce a Bayesian analysis of the four-parameter …

Introduction: Mathematicians and statisticians have made significant academic progress on
the subject of distribution theory in the last two decades, and this area of study is becoming …

In this article, we introduce a long‐term survival model in which the number of competing
causes of the event of interest follows the zero‐modified geometric (ZMG) distribution. Such …

The hazard rate is a statistical indicator commonly used in lifetime analysis. The Birnbaum–
Saunders (BS) model is a life distribution originated from a problem pertaining to material …

In this paper, we introduce the Birnbaum–Saunders () power series class of distributions
which is obtained by compounding and power series distributions. The new class of …

We propose a cure rate survival model by assuming that the number of competing causes of
the event of interest follows the negative binomial distribution and the time to the event of …

Inverse Weibull (IW) distribution is one of the widely used probability distributions for
nonnegative data modelling, specifically, for describing degradation phenomena of …