The New Marshall–Olkin–Type II Exponentiated Half-Logistic–Odd Burr X-G Family of Distributions with Properties and Applications
We develop a novel family of distributions named the Marshall–Olkin type II exponentiated half-logistic–odd Burr X-G distribution. Several mathematical properties including linear representation of the density function, Rényi entropy, probability-weighted moments, and distribution of order statistic...
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MDPI AG
2025-04-01
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| Series: | Stats |
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| Online Access: | https://www.mdpi.com/2571-905X/8/2/26 |
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| author | Broderick Oluyede Thatayaone Moakofi Gomolemo Lekono |
| author_facet | Broderick Oluyede Thatayaone Moakofi Gomolemo Lekono |
| author_sort | Broderick Oluyede |
| collection | DOAJ |
| description | We develop a novel family of distributions named the Marshall–Olkin type II exponentiated half-logistic–odd Burr X-G distribution. Several mathematical properties including linear representation of the density function, Rényi entropy, probability-weighted moments, and distribution of order statistics are obtained. Different estimation methods are employed to estimate the unknown parameters of the new distribution. A simulation study is conducted to assess the effectiveness of the estimation methods. A special model of the new distribution is used to show its usefulness in various disciplines. |
| format | Article |
| id | doaj-art-4e99c7ca1fa6440ebe3fec04c3e35e70 |
| institution | Kabale University |
| issn | 2571-905X |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Stats |
| spelling | doaj-art-4e99c7ca1fa6440ebe3fec04c3e35e702025-08-20T03:26:53ZengMDPI AGStats2571-905X2025-04-01822610.3390/stats8020026The New Marshall–Olkin–Type II Exponentiated Half-Logistic–Odd Burr X-G Family of Distributions with Properties and ApplicationsBroderick Oluyede0Thatayaone Moakofi1Gomolemo Lekono2Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye 10071, BotswanaIndependent Researcher, BotswanaDepartment of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye 10071, BotswanaWe develop a novel family of distributions named the Marshall–Olkin type II exponentiated half-logistic–odd Burr X-G distribution. Several mathematical properties including linear representation of the density function, Rényi entropy, probability-weighted moments, and distribution of order statistics are obtained. Different estimation methods are employed to estimate the unknown parameters of the new distribution. A simulation study is conducted to assess the effectiveness of the estimation methods. A special model of the new distribution is used to show its usefulness in various disciplines.https://www.mdpi.com/2571-905X/8/2/26Marshall–Olkin-Gtype II exponentiated half-logistic-Gsimulationestimation methods |
| spellingShingle | Broderick Oluyede Thatayaone Moakofi Gomolemo Lekono The New Marshall–Olkin–Type II Exponentiated Half-Logistic–Odd Burr X-G Family of Distributions with Properties and Applications Stats Marshall–Olkin-G type II exponentiated half-logistic-G simulation estimation methods |
| title | The New Marshall–Olkin–Type II Exponentiated Half-Logistic–Odd Burr X-G Family of Distributions with Properties and Applications |
| title_full | The New Marshall–Olkin–Type II Exponentiated Half-Logistic–Odd Burr X-G Family of Distributions with Properties and Applications |
| title_fullStr | The New Marshall–Olkin–Type II Exponentiated Half-Logistic–Odd Burr X-G Family of Distributions with Properties and Applications |
| title_full_unstemmed | The New Marshall–Olkin–Type II Exponentiated Half-Logistic–Odd Burr X-G Family of Distributions with Properties and Applications |
| title_short | The New Marshall–Olkin–Type II Exponentiated Half-Logistic–Odd Burr X-G Family of Distributions with Properties and Applications |
| title_sort | new marshall olkin type ii exponentiated half logistic odd burr x g family of distributions with properties and applications |
| topic | Marshall–Olkin-G type II exponentiated half-logistic-G simulation estimation methods |
| url | https://www.mdpi.com/2571-905X/8/2/26 |
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