Modifications of the Weibull distribution: A review

SJ Almalki, S Nadarajah - Reliability Engineering & System Safety, 2014 - Elsevier
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 …

Methods for generating families of univariate continuous distributions in the recent decades

C Lee, F Famoye, AY Alzaatreh - Wiley Interdisciplinary …, 2013 - Wiley Online Library
There has been a renewed interest in developing more flexible statistical distributions in
recent decades. A major milestone in the methods for generating statistical distributions is …

[PDF][PDF] The Weibull-Lomax distribution: properties and applications

MH Tahir, GM Cordeiro, M Mansoor… - Hacettepe Journal of …, 2015 - dergipark.org.tr
We introduce a new model called the Weibull-Lomax distribution which extends the Lomax
distribution and has increasing and decreasing shapes for the hazard rate function. Various …

The logistic-X family of distributions and its applications

MH Tahir, GM Cordeiro, A Alzaatreh… - … in statistics-Theory …, 2016 - Taylor & Francis
The logistic distribution has a prominent role in the theory and practice of statistics. We
introduce a new family of continuous distributions generated from a logistic random variable …

The Gompertz-G family of distributions

M Alizadeh, GM Cordeiro, LGB Pinho… - Journal of statistical theory …, 2017 - Springer
We introduce and study some general mathematical properties of a new generator of
continuous distributions with two extra parameters called the Gompertz-G generator. We …

The generalized odd log-logistic family of distributions: properties, regression models and applications

GM Cordeiro, M Alizadeh, G Ozel… - Journal of statistical …, 2017 - Taylor & Francis
We propose a new class of continuous distributions with two extra shape parameters named
the generalized odd log-logistic family of distributions. The proposed family contains as …

The Lomax generator of distributions: Properties, minification process and regression model

GM Cordeiro, EMM Ortega, BV Popović… - Applied Mathematics and …, 2014 - Elsevier
We propose a new class of distributions called the Lomax generator with two extra positive
parameters to generalize any continuous baseline distribution. Some special models such …

Compounding of distributions: a survey and new generalized classes

MH Tahir, GM Cordeiro - Journal of Statistical Distributions and …, 2016 - Springer
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 …

The odd Lindley-G family of distributions

FS Gomes-Silva, A Percontini, E de Brito… - Austrian journal of …, 2017 - ajs.or.at
We propose a new generator of continuous distributions with one extra positive parameter
called the odd Lindley-G family. Some special cases are presented. The new density …

On generating TX family of distributions using quantile functions

MA Aljarrah, C Lee, F Famoye - Journal of Statistical Distributions and …, 2014 - Springer
The cumulative distribution function (CDF) of the TX family is given by R {W (F (x))}, where R
is the CDF of a random variable T, F is the CDF of X and W is an increasing function defined …