Odd Generalized Exponential Kumaraswamy–Weibull Distribution
A novel odd generalized exponential Kumaraswamy–Weibull distribution is defined. This distribution is distinguished by its capacity to capture a wider class of hazard functions than the standard Weibull models, such as non-monotonic and bathtub-shaped hazards. This is an advancement in distribution...
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MDPI AG
2025-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/7/1136 |
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| author | Sandra S. Ferreira Dário Ferreira |
| author_facet | Sandra S. Ferreira Dário Ferreira |
| author_sort | Sandra S. Ferreira |
| collection | DOAJ |
| description | A novel odd generalized exponential Kumaraswamy–Weibull distribution is defined. This distribution is distinguished by its capacity to capture a wider class of hazard functions than the standard Weibull models, such as non-monotonic and bathtub-shaped hazards. This is an advancement in distribution theory because it provides a new simplified form of the distribution with a much more complicated behavior, which results in better statistical inference and detail in survival analysis and other related fields. Considerations on the identifiability of the proposed distribution are addressed, emphasizing the distinct contributions of its parameters and their roles in model behavior characterization. One real dataset from a survival experiment is considered, highlighting the practical implications of our distribution in the context of reliability. |
| format | Article |
| id | doaj-art-ad3c392c38c64ef5969759da2e7ba25f |
| institution | OA Journals |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-ad3c392c38c64ef5969759da2e7ba25f2025-08-20T02:15:58ZengMDPI AGMathematics2227-73902025-03-01137113610.3390/math13071136Odd Generalized Exponential Kumaraswamy–Weibull DistributionSandra S. Ferreira0Dário Ferreira1Department of Mathematics, Centre of Mathematics, University of Beira Interior, 6201-001 Covilhã, PortugalDepartment of Mathematics, Centre of Mathematics, University of Beira Interior, 6201-001 Covilhã, PortugalA novel odd generalized exponential Kumaraswamy–Weibull distribution is defined. This distribution is distinguished by its capacity to capture a wider class of hazard functions than the standard Weibull models, such as non-monotonic and bathtub-shaped hazards. This is an advancement in distribution theory because it provides a new simplified form of the distribution with a much more complicated behavior, which results in better statistical inference and detail in survival analysis and other related fields. Considerations on the identifiability of the proposed distribution are addressed, emphasizing the distinct contributions of its parameters and their roles in model behavior characterization. One real dataset from a survival experiment is considered, highlighting the practical implications of our distribution in the context of reliability.https://www.mdpi.com/2227-7390/13/7/1136generalized exponential familymaximum likelihood estimationodd generalized exponentiated familyWeibull distribution |
| spellingShingle | Sandra S. Ferreira Dário Ferreira Odd Generalized Exponential Kumaraswamy–Weibull Distribution Mathematics generalized exponential family maximum likelihood estimation odd generalized exponentiated family Weibull distribution |
| title | Odd Generalized Exponential Kumaraswamy–Weibull Distribution |
| title_full | Odd Generalized Exponential Kumaraswamy–Weibull Distribution |
| title_fullStr | Odd Generalized Exponential Kumaraswamy–Weibull Distribution |
| title_full_unstemmed | Odd Generalized Exponential Kumaraswamy–Weibull Distribution |
| title_short | Odd Generalized Exponential Kumaraswamy–Weibull Distribution |
| title_sort | odd generalized exponential kumaraswamy weibull distribution |
| topic | generalized exponential family maximum likelihood estimation odd generalized exponentiated family Weibull distribution |
| url | https://www.mdpi.com/2227-7390/13/7/1136 |
| work_keys_str_mv | AT sandrasferreira oddgeneralizedexponentialkumaraswamyweibulldistribution AT darioferreira oddgeneralizedexponentialkumaraswamyweibulldistribution |