The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications to Engineering and Environmental Data

In this work, a novel generalized family of distributions called the odd beta prime is introduced. The linear representations of the proposed family are obtained. The expressions for the moments, the moment-generating function, and entropy are derived. A three-parameter special sub-model of the prop...

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Main Authors: Ahmad Abubakar Suleiman, Hanita Daud, Mahmod Othman, Aliyu Ismail Ishaq, Rachmah Indawati, Mohd Lazim Abdullah, Abdullah Husin
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Computer Sciences & Mathematics Forum
Subjects:
Online Access:https://www.mdpi.com/2813-0324/7/1/20
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author Ahmad Abubakar Suleiman
Hanita Daud
Mahmod Othman
Aliyu Ismail Ishaq
Rachmah Indawati
Mohd Lazim Abdullah
Abdullah Husin
author_facet Ahmad Abubakar Suleiman
Hanita Daud
Mahmod Othman
Aliyu Ismail Ishaq
Rachmah Indawati
Mohd Lazim Abdullah
Abdullah Husin
author_sort Ahmad Abubakar Suleiman
collection DOAJ
description In this work, a novel generalized family of distributions called the odd beta prime is introduced. The linear representations of the proposed family are obtained. The expressions for the moments, the moment-generating function, and entropy are derived. A three-parameter special sub-model of the proposed family called the odd beta prime exponential distribution is proposed. Finally, two real data sets are used to illustrate the usefulness and flexibility of the proposed distribution.
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spelling doaj.art-f494b90aa5484bb687c8abf4b994b2c92023-12-22T14:02:06ZengMDPI AGComputer Sciences & Mathematics Forum2813-03242023-04-01712010.3390/IOCMA2023-14429The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications to Engineering and Environmental DataAhmad Abubakar Suleiman0Hanita Daud1Mahmod Othman2Aliyu Ismail Ishaq3Rachmah Indawati4Mohd Lazim Abdullah5Abdullah Husin6Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar 32610, MalaysiaFundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar 32610, MalaysiaDepartment of Information System, Universitas Islam Indragiri, Tembilahan 29281, IndonesiaDepartment of Statistics, Ahmadu Bello University, Zaria 810107, NigeriaFaculty of Public Health, Airlangga University, Surabaya 60115, IndonesiaManagement Science Research Group, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, MalaysiaDepartment of Information System, Universitas Islam Indragiri, Tembilahan 29281, IndonesiaIn this work, a novel generalized family of distributions called the odd beta prime is introduced. The linear representations of the proposed family are obtained. The expressions for the moments, the moment-generating function, and entropy are derived. A three-parameter special sub-model of the proposed family called the odd beta prime exponential distribution is proposed. Finally, two real data sets are used to illustrate the usefulness and flexibility of the proposed distribution.https://www.mdpi.com/2813-0324/7/1/20odd beta prime generalized familyexponential distributionT-X transformermomentsmoment-generating functionentropy
spellingShingle Ahmad Abubakar Suleiman
Hanita Daud
Mahmod Othman
Aliyu Ismail Ishaq
Rachmah Indawati
Mohd Lazim Abdullah
Abdullah Husin
The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications to Engineering and Environmental Data
Computer Sciences & Mathematics Forum
odd beta prime generalized family
exponential distribution
T-X transformer
moments
moment-generating function
entropy
title The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications to Engineering and Environmental Data
title_full The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications to Engineering and Environmental Data
title_fullStr The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications to Engineering and Environmental Data
title_full_unstemmed The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications to Engineering and Environmental Data
title_short The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications to Engineering and Environmental Data
title_sort odd beta prime g family of probability distributions properties and applications to engineering and environmental data
topic odd beta prime generalized family
exponential distribution
T-X transformer
moments
moment-generating function
entropy
url https://www.mdpi.com/2813-0324/7/1/20
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