A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate
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 monotonicall...
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| Format: | Article |
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MDPI AG
2023-09-01
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| Online Access: | https://www.mdpi.com/2306-5729/8/9/143 |
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| author | Ahmad Abubakar Suleiman Hanita Daud Narinderjit Singh Sawaran Singh Aliyu Ismail Ishaq Mahmod Othman |
| author_facet | Ahmad Abubakar Suleiman Hanita Daud Narinderjit Singh Sawaran Singh Aliyu Ismail Ishaq Mahmod Othman |
| author_sort | Ahmad Abubakar Suleiman |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T22:53:09Z |
| format | Article |
| id | doaj.art-50d91565372c48b387b0d97a42796ace |
| institution | Directory Open Access Journal |
| issn | 2306-5729 |
| language | English |
| last_indexed | 2024-03-10T22:53:09Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Data |
| spelling | doaj.art-50d91565372c48b387b0d97a42796ace2023-11-19T10:11:43ZengMDPI AGData2306-57292023-09-018914310.3390/data8090143A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality RateAhmad Abubakar Suleiman0Hanita Daud1Narinderjit Singh Sawaran Singh2Aliyu Ismail Ishaq3Mahmod Othman4Fundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar 32610, MalaysiaFundamental and Applied Sciences Department, Universiti Teknologi PETRONAS, Seri Iskandar 32610, MalaysiaFaculty of Data Science and Information Technology, INTI International University, Nilai 71800, MalaysiaDepartment of Statistics, Ahmadu Bello University, Zaria 810107, NigeriaDepartment of Information System, Universitas Islam Indragiri, Riau 29212, IndonesiaIn 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.https://www.mdpi.com/2306-5729/8/9/143T-X familyodd beta prime-G familyBurr X distributionquantile functionmaximum likelihood estimationMonte Carlo simulation |
| spellingShingle | Ahmad Abubakar Suleiman Hanita Daud Narinderjit Singh Sawaran Singh Aliyu Ismail Ishaq Mahmod Othman A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate Data T-X family odd beta prime-G family Burr X distribution quantile function maximum likelihood estimation Monte Carlo simulation |
| title | A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate |
| title_full | A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate |
| title_fullStr | A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate |
| title_full_unstemmed | A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate |
| title_short | A New Odd Beta Prime-Burr X Distribution with Applications to Petroleum Rock Sample Data and COVID-19 Mortality Rate |
| title_sort | new odd beta prime burr x distribution with applications to petroleum rock sample data and covid 19 mortality rate |
| topic | T-X family odd beta prime-G family Burr X distribution quantile function maximum likelihood estimation Monte Carlo simulation |
| url | https://www.mdpi.com/2306-5729/8/9/143 |
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