Bivariate Unit-Weibull Distribution: Properties and Inference
In this article, we introduce a novel bivariate probability distribution that is absolutely continuous. Considering the Farlie–Gumbel–Morgenstern (FGM) copula and the unit-Weibull distribution, we can obtain a bivariate unit-Weibull distribution. We evaluate the main properties of the new proposal a...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/17/3760 |
| _version_ | 1797582221970767872 |
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| author | Roger Tovar-Falón Guillermo Martínez-Flórez Luis Páez-Martínez |
| author_facet | Roger Tovar-Falón Guillermo Martínez-Flórez Luis Páez-Martínez |
| author_sort | Roger Tovar-Falón |
| collection | DOAJ |
| description | In this article, we introduce a novel bivariate probability distribution that is absolutely continuous. Considering the Farlie–Gumbel–Morgenstern (FGM) copula and the unit-Weibull distribution, we can obtain a bivariate unit-Weibull distribution. We evaluate the main properties of the new proposal and use two estimation methods to estimate the parameter for the bivariate probability distribution. A brief Monte Carlo simulation study is conducted to assess the behavior of the employed estimation method and the characteristics of the estimators. Ultimately, as an illustration, a real-life application is presented, demonstrating the utility of the proposal. |
| first_indexed | 2024-03-10T23:17:56Z |
| format | Article |
| id | doaj.art-e48f4980dcc64179bb392c509ddd9a2a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T23:17:56Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e48f4980dcc64179bb392c509ddd9a2a2023-11-19T08:31:45ZengMDPI AGMathematics2227-73902023-09-011117376010.3390/math11173760Bivariate Unit-Weibull Distribution: Properties and InferenceRoger Tovar-Falón0Guillermo Martínez-Flórez1Luis Páez-Martínez2Departamento de Matemáticas y Estadística, Facultad de Ciencias Básicas, Universidad de Córdoba, Monteria 230002, ColombiaDepartamento de Matemáticas y Estadística, Facultad de Ciencias Básicas, Universidad de Córdoba, Monteria 230002, ColombiaDepartamento de Matemáticas y Estadística, Facultad de Ciencias Básicas, Universidad de Córdoba, Monteria 230002, ColombiaIn this article, we introduce a novel bivariate probability distribution that is absolutely continuous. Considering the Farlie–Gumbel–Morgenstern (FGM) copula and the unit-Weibull distribution, we can obtain a bivariate unit-Weibull distribution. We evaluate the main properties of the new proposal and use two estimation methods to estimate the parameter for the bivariate probability distribution. A brief Monte Carlo simulation study is conducted to assess the behavior of the employed estimation method and the characteristics of the estimators. Ultimately, as an illustration, a real-life application is presented, demonstrating the utility of the proposal.https://www.mdpi.com/2227-7390/11/17/3760bivariate probability distributiondistribution for bounded dataproportion datatwo-step estimationcopula |
| spellingShingle | Roger Tovar-Falón Guillermo Martínez-Flórez Luis Páez-Martínez Bivariate Unit-Weibull Distribution: Properties and Inference Mathematics bivariate probability distribution distribution for bounded data proportion data two-step estimation copula |
| title | Bivariate Unit-Weibull Distribution: Properties and Inference |
| title_full | Bivariate Unit-Weibull Distribution: Properties and Inference |
| title_fullStr | Bivariate Unit-Weibull Distribution: Properties and Inference |
| title_full_unstemmed | Bivariate Unit-Weibull Distribution: Properties and Inference |
| title_short | Bivariate Unit-Weibull Distribution: Properties and Inference |
| title_sort | bivariate unit weibull distribution properties and inference |
| topic | bivariate probability distribution distribution for bounded data proportion data two-step estimation copula |
| url | https://www.mdpi.com/2227-7390/11/17/3760 |
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