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

Suleiman, A.A. and Daud, H. and Singh, N.S.S. and Ishaq, A.I. and Othman, M. (2023) A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate. Data, 8 (9).

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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. © 2023 by the authors.

Item Type: Article
Additional Information: cited By 2
Uncontrolled Keywords: Failure rate; Gasoline; Intelligent systems; Maximum likelihood estimation; Monte Carlo methods, Burr X distribution; Infectious disease; Maximum-likelihood estimation; Monte Carlo's simulation; Odd beta prime-G family; Petroleum rocks; Quantile functions; Rock sample; Sample data; T-X family, COVID-19
Depositing User: Mr Ahmad Suhairi UTP
Date Deposited: 04 Jun 2024 14:10
Last Modified: 04 Jun 2024 14:10
URI: https://khub.utp.edu.my/scholars/id/eprint/18238

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