Recent developments in distribution theory: a brief survey and some new generalized classes of distributions

Z Ahmad, GG Hamedani, NS Butt - Pakistan Journal of Statistics and …, 2019 - pjsor.com
The generalization of the classical distributions is an old practice and has been considered
as precious as many other practical problems in statistics. These generalizations started with …

Poisson generated family of distributions: a review

SK Maurya, S Nadarajah - Sankhya B, 2021 - Springer
The present article represents a survey on Poisson generated family of distributions. Based
on this family of distribution, several transformations and distributions have been proposed …

Modelling the COVID‐19 Mortality Rate with a New Versatile Modification of the Log‐Logistic Distribution

AH Muse, AH Tolba, E Fayad… - Computational …, 2021 - Wiley Online Library
The goal of this paper is to develop an optimal statistical model to analyze COVID‐19 data in
order to model and analyze the COVID‐19 mortality rates in Somalia. Combining the log …

AdequacyModel: An R package for probability distributions and general purpose optimization

PRD Marinho, RB Silva, M Bourguignon, GM Cordeiro… - PloS one, 2019 - journals.plos.org
Several lifetime distributions have played an important role to fit survival data. However, for
some of these models, the computation of maximum likelihood estimators is quite difficult …

The truncated Burr XG family of distributions: properties and applications to actuarial and financial data

RAR Bantan, C Chesneau, F Jamal, I Elbatal… - Entropy, 2021 - mdpi.com
In this article, the “truncated-composed” scheme was applied to the Burr X distribution to
motivate a new family of univariate continuous-type distributions, called the truncated Burr X …

The flexible burr XG family: properties, inference, and applications in engineering science

AA Al-Babtain, I Elbatal, H Al-Mofleh, AM Gemeay… - Symmetry, 2021 - mdpi.com
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 …

New methods to define heavy-tailed distributions with applications to insurance data

Z Ahmad, E Mahmoudi, GG Hamedani… - Journal of Taibah …, 2020 - Taylor & Francis
Heavy-tailed distributions play an important role in modelling data in actuarial and financial
sciences. In this article, nine new methods are suggested to define new distributions suitable …

A new Kumaraswamy generalized family of distributions with properties, applications, and bivariate extension

MH Tahir, MA Hussain, GM Cordeiro, M El-Morshedy… - Mathematics, 2020 - mdpi.com
For bounded unit interval, we propose a new Kumaraswamy generalized (G) family of
distributions through a new generator which could be an alternate to the Kumaraswamy-G …

The Exponential T‐X Family of Distributions: Properties and an Application to Insurance Data

Z Ahmad, E Mahmoudi, M Alizadeh… - Journal of …, 2021 - Wiley Online Library
Heavy‐tailed distributions play a prominent role in actuarial and financial sciences. In this
paper, we introduce a family of distributions that we refer to as exponential T‐X (ETX) family …

A general transmuted family of distributions

MM Rahman, B Al-Zahrani, MQ Shahbaz - Pakistan Journal of Statistics …, 2018 - pjsor.com
In this article we have proposed a general transmuted family of distributions with emphasis
on the cubic transmuted family of distributions. This new class of distributions provide …