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 …

Transmutation is the functional composition of the cumulative distribution function (cdf) of
one distribution with the inverse cumulative distribution function (quantile function) of …

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 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 …

In this paper, we introduce a new flexible generator of continuous distributions called the
transmuted Burr XG (TBX-G) family to extend and increase the flexibility of the Burr X …

In this paper, a new class of distributions called the odd log-logistic Lindley-G family is
proposed. Several of its statistical and reliability properties are studied in-detail. One …

The sin extension of the exponential (SExEx) or sin Nadarajah-Haghighi (SNH) distribution,
a new extension of the exponential distribution with two parameters, is introduced and …

We introduce here a new distribution called the power-modified Kies-exponential (PMKE)
distribution and derive some of its mathematical properties. Its hazard function can be …

We define a new extended Weibull-H family and obtain some of its mathematical properties.
It is very competitive to the beta-G and Kumaraswamy-G classes, which are highly cited in …

This paper addresses the estimation of the unknown parameters of the alpha power
exponential distribution (Mahdavi and Kundu, 2017) using nine frequentist estimation …