EventsThe 1st International Online Conference on Mathematics and Applications
Published
This submission belongs to the session S7. Probability and Statistics of the event The 1st International Online Conference on Mathematics and Applications
Published date
28 Apr, 2023
Academic Editor
author-avatarAntonio Di Crescenzo
Citation
Ahmad Abubakar Suleiman, Mahmod Othman, Aliyu Ismail Ishaq, Hanita Daud, Rachmah Indawati, Mohd Lazim Abdullah, Abdullah Husin, The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications, in Proceedings of The 1st International Online Conference on Mathematics and Applications, 1 May–15 May 2023, MDPI: Basel, Switzerland, doi: 10.3390/IOCMA2023-14429
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The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications

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1. Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS 32610 Seri Iskandar, Perak Darul Ridzuan, Malaysia, Malaysia
2. Department of Statistics, Kano University of Science and Technology, Wudil 713281, Nigeria
3. Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS 32610 Seri Iskandar, Perak Darul Ridzuan, Malaysia
4. Department of Statistics, Ahmadu Bello University, Zaria 810107, Nigeria
5. Faculty of Public Health, Airlangga University, Surabaya, Indonesia
6. Management Science Research Group, Faculty of Ocean Engineering Technology, and Informatics, Universiti Malaysia Terengganu, Kuala Terengganu, Malaysia
7. Universitas Islam Indragiri, Tembilahan, Indonesia
Abstract

A novel family of distributions called the odd beta prime-G is introduced and studied. Some statistical properties of the proposed odd beta prime-G family are studied. The expressions for the moments, incomplete moments, moment generating function, order statistics, and quantile function are derived. The estimates of the parameters of the new family are obtained using the method of maximum likelihood. Finally, three real data sets are used to illustrate the usefulness and efficiency of the new family.

Keywords
odd beta prime generalized family
logistic
T-X transformer
maximum likelihood estimation
quantile function
order statistics
simulation
Manuscript
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