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 develo** more flexible statistical distributions in
recent decades. A major milestone in the methods for generating statistical distributions is …

A new method for generating families of continuous distributions

A Alzaatreh, C Lee, F Famoye - Metron, 2013 - Springer
In this paper, a new method is proposed for generating families of continuous distributions. A
random variable X,“the transformer”, is used to transform another random variable T,“the …

Generalized beta-generated distributions

C Alexander, GM Cordeiro, EMM Ortega… - … Statistics & Data Analysis, 2012 - Elsevier
This article introduces generalized beta-generated (GBG) distributions. Sub-models include
all classical beta-generated, Kumaraswamy-generated and exponentiated distributions …

The generalized transmuted-G family of distributions

ZM Nofal, AZ Afify, HM Yousof… - … in Statistics-Theory and …, 2017 - Taylor & Francis
We introduce a new class of continuous distributions called the generalized transmuted-G
family which extends the transmuted-G class. We provide six special models of the new …

On odd perks-G class of distributions: properties, regression model, discretization, Bayesian and non-Bayesian estimation, and applications

I Elbatal, N Alotaibi, EM Almetwally, SA Alyami… - Symmetry, 2022 - mdpi.com
In this paper, we present a new univariate flexible generator of distributions, namely, the odd
Perks-G class. Some special models in this class are introduced. The quantile function …

A new modified Weibull distribution

SJ Almalki, J Yuan - Reliability Engineering & System Safety, 2013 - Elsevier
We introduce a new lifetime distribution by considering a serial system with one component
following a Weibull distribution and another following a modified Weibull distribution. We …

Modified generalized Weibull distribution: theory and applications

MS Shama, AS Alharthi, FA Almulhim, AM Gemeay… - Scientific Reports, 2023 - nature.com
This article presents and investigates a modified version of the Weibull distribution that
incorporates four parameters and can effectively represent a hazard rate function with a …

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 …