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

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  • Ahmad Abubakar Suleiman

    (Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Malaysia
    Department of Statistics, Aliko Dangote University of Science and Technology, Wudil 713281, Nigeria)

  • 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)

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.

Suggested Citation

  • Ahmad Abubakar Suleiman & Hanita Daud & Narinderjit Singh Sawaran Singh & Aliyu Ismail Ishaq & Mahmod Othman, 2023. "A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate," Data, MDPI, vol. 8(9), pages 1-24, September.
    • Handle: RePEc:gam:jdataj:v:8:y:2023:i:9:p:143-:d:1243057
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    References listed on IDEAS

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