It is well known that the Weibull distribution is the most popular and the most widely used
distribution in reliability and in analysis of lifetime data. Unfortunately, its hazard function …

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 …

Abstract The power inverted Topp Leone power series (PITLPS) class is a novel three-
parameter version of the power inverted Topp Leone (PITL) distribution. The PITLPS class is …

In this paper, we introduce the generalized exponential–power series (GEPS) class of
distributions, which is obtained by compounding generalized exponential and power series …

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

The Weibull distribution has been generalized by many authors in recent years. Here, we
introduce a new generalization, called alpha-power transformed Weibull distribution that …

In this paper, we introduce the exponentiated power generalized Weibull power series
(EPGWPS) family of distributions, obtained by compounding the exponentiated power …

A new distribution is introduced based on compounding Lindley and Weibull distributions.
This distribution contains Lindley and Weibull distributions as special cases. Several …

A functional composition of the cumulative distribution function of one probability distribution
with the inverse cumulative distribution function of another is called the transmutation map …

Generalizing lifetime distributions is always precious for applied statisticians. In this paper,
we introduce a new family of distributions by compounding the Burr XII and power series …