The Odd Beta Prime-G Family of Probability Distributions: Properties and Applications

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

Academic Editor: Antonio Di Crescenzo

Published: 28 April 2023 by MDPI in The 1st International Online Conference on Mathematics and Applications session Probability and Statistics

https://doi.org/10.3390/IOCMA2023-14429

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

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