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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MDPI AG
2023-04-01
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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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format | Article |
id | doaj.art-f494b90aa5484bb687c8abf4b994b2c9 |
institution | Directory Open Access Journal |
issn | 2813-0324 |
language | English |
last_indexed | 2024-03-08T20:52:18Z |
publishDate | 2023-04-01 |
publisher | MDPI AG |
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series | Computer Sciences & Mathematics Forum |
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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