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 …

Transmuted probability distributions: A review

MM Rahman, B Al-Zahrani, SH Shahbaz… - Pakistan Journal of …, 2020 - pjsor.com
Transmutation is the functional composition of the cumulative distribution function (cdf) of
one distribution with the inverse cumulative distribution function (quantile function) of …

The heavy-tailed exponential distribution: risk measures, estimation, and application to actuarial data

AZ Afify, AM Gemeay, NA Ibrahim - Mathematics, 2020 - mdpi.com
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 …

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 …

A new generalization of the Lomax distribution with increasing, decreasing, and constant failure rate

PE Oguntunde, MA Khaleel, MT Ahmed… - … and Simulation in …, 2017 - Wiley Online Library
Developing new compound distributions which are more flexible than the existing
distributions have become the new trend in distribution theory. In this present study, the …

[PDF][PDF] Exponentiated Power Lindley-Logarithmic distribution and its applications

A Musa, SI Onyeagu, OJ Obulezi - Asian Research Journal of …, 2023 - academia.edu
This article proposes a new distribution call the Exponentiated Power Lindley-Logarithmic
Distribution for modeling real life data. The distribution is motivated by the Exponentiated …

[HTML][HTML] A new generalization of Gull Alpha Power Family of distributions with application to modeling COVID-19 mortality rates

M Kilai, GA Waititu, WA Kibira, HM Alshanbari… - Results in Physics, 2022 - Elsevier
This paper proposes a new generalization of the Gull Alpha Power Family of distribution,
namely the exponentiated generalized gull alpha power family of distribution abbreviated as …

[HTML][HTML] A novel logarithmic approach to generate new probability distributions for data modeling in the engineering sector

Y Zhao, Z Ahmad, A Alrumayh, M Yusuf… - Alexandria Engineering …, 2023 - Elsevier
In this paper, we introduce a new statistical methodology for updating the flexibility level of
the traditional distributions. The newly developed method is called, the logarithmic-U family …

Cubic transmuted Pareto distribution

MM Rahman, B Al-Zahrani, MQ Shahbaz - Annals of Data Science, 2020 - Springer
In this article, we have proposed the cubic transmuted Pareto distribution, by using the cubic
transmuted family of distributions introduced by Rahman et al.(in Pak J Stat Oper Res 14 …

The Topp–Leone Lomax (TLLo) distribution with applications to airbone communication transceiver dataset

PE Oguntunde, MA Khaleel, HI Okagbue… - Wireless Personal …, 2019 - Springer
The Lomax distribution was extended in this paper using the Topp–Leone family of
distributions. Some of its specific structural properties were established and the model …