A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate

Ahmad Abubakar Suleiman (), Hanita Daud (), Narinderjit Singh Sawaran Singh, Aliyu Ismail Ishaq and Mahmod Othman
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Ahmad Abubakar Suleiman: Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Malaysia
Hanita Daud: Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Malaysia
Narinderjit Singh Sawaran Singh: Faculty of Data Science and Information Technology, INTI International University, Nilai 71800, Malaysia
Aliyu Ismail Ishaq: Department of Statistics, Ahmadu Bello University, Zaria 810107, Nigeria
Mahmod Othman: Department of Information System, Universitas Islam Indragiri, Riau 29212, Indonesia

Data, 2023, vol. 8, issue 9, 1-24

Abstract: In this article, we pioneer a new Burr X distribution using the odd beta prime generalized (OBP-G) family of distributions called the OBP-Burr X (OBPBX) distribution. The density function of this model is symmetric, left-skewed, right-skewed, and reversed-J, while the hazard function is monotonically increasing, decreasing, bathtub, and N-shaped, making it suitable for modeling skewed data and failure rates. Various statistical properties of the new model are obtained, such as moments, moment-generating function, entropies, quantile function, and limit behavior. The maximum-likelihood-estimation procedure is utilized to determine the parameters of the model. A Monte Carlo simulation study is implemented to ascertain the efficiency of maximum-likelihood estimators. The findings demonstrate the empirical application and flexibility of the OBPBX distribution, as showcased through its analysis of petroleum rock samples and COVID-19 mortality data, along with its superior performance compared to well-known extended versions of the Burr X distribution. We anticipate that the new distribution will attract a wider readership and provide a vital tool for modeling various phenomena in different domains.

Keywords: T-X family; odd beta prime-G family; Burr X distribution; quantile function; maximum likelihood estimation; Monte Carlo simulation; infectious disease; COVID-19; public health (search for similar items in EconPapers)
JEL-codes: C8 C80 C81 C82 C83 (search for similar items in EconPapers)
Date: 2023
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