Slashed Rayleigh Distribution
In this article we study a subfamily of the slashed-Weibull family. This subfamily can be seen as an extension of the Rayleigh distribution with more flexibility in terms of the kurtosis of distribution. This special feature makes the extension suitable for fitting atypical observations. It arises a...
- Autores:
-
Iriarte, Yuri A.
Gómez, Héctor W.
Varela, Héctor
Bolfarine, Heleno
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2015
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66540
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66540
http://bdigital.unal.edu.co/67568/
- Palabra clave:
- 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Kurtosis
Rayleigh Distribution
Slashed-elliptical Distributions
Slashed-Rayleigh Distribution
Slashed-Weibull Distribution
Weibull Distribution
Curtosis
Distribución Rayleigh
Distribuciones Slashed-elípticas
Distribución Slashed-Rayleigh
Distribución Slashed-Weibull
DistribuciónWeibull.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Iriarte, Yuri A.0828d5e1-a343-4016-bc81-3fcb0c0f1d7f300Gómez, Héctor W.1b322e89-0207-4039-bb04-900d8cb0a9fc300Varela, Héctord5a8f92d-41ee-4680-b4f0-d4b9d42ab83a300Bolfarine, Helenob07adbdd-296c-4fa4-9e5d-556dd7ed17703002019-07-03T02:20:00Z2019-07-03T02:20:00Z2015-01-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66540http://bdigital.unal.edu.co/67568/In this article we study a subfamily of the slashed-Weibull family. This subfamily can be seen as an extension of the Rayleigh distribution with more flexibility in terms of the kurtosis of distribution. This special feature makes the extension suitable for fitting atypical observations. It arises as the ratio of two independent random variables, the one in the numerator being a Rayleigh distribution and a power of the uniform distribution in the denominator. We study some probability properties, discuss maximum likelihood estimation and present real data applications indicating that the slashed-Rayleigh distribution can improve the ordinary Rayleigh distribution in fitting real data.En este artículo estudiamos una subfamilia de la familia slashed-Weibull. Esta subfamilia puede ser vista como una extensión de la distribución Rayleigh con más flexibilidad en cuanto a la kurtosis de la distribución. Esta particularidad hace que la extensión sea adecuada para ajustar observaciones atípicas. Esto surge como la razón de dos variables aleatorias independientes, una en el numerador siendo una distribución Rayleigh y una potencia de la distribución uniforme en el denominador. Estudiamos algunas propiedades de probabilidad, discutimos la estimación de máxima verosimilitud y presentamos aplicaciones a datos reales indicando que la distribución slashed-Rayleigh presenta mejor ajuste para datos reales que la distribución Rayleigh.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/48800Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaIriarte, Yuri A. and Gómez, Héctor W. and Varela, Héctor and Bolfarine, Heleno (2015) Slashed Rayleigh Distribution. Revista Colombiana de Estadística, 38 (1). pp. 31-44. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsKurtosisRayleigh DistributionSlashed-elliptical DistributionsSlashed-Rayleigh DistributionSlashed-Weibull DistributionWeibull DistributionCurtosisDistribución RayleighDistribuciones Slashed-elípticasDistribución Slashed-RayleighDistribución Slashed-WeibullDistribuciónWeibull.Slashed Rayleigh DistributionArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL48800-239239-1-PB.pdfapplication/pdf763775https://repositorio.unal.edu.co/bitstream/unal/66540/1/48800-239239-1-PB.pdf172097e66e077b1d18cac48f19672982MD51THUMBNAIL48800-239239-1-PB.pdf.jpg48800-239239-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5154https://repositorio.unal.edu.co/bitstream/unal/66540/2/48800-239239-1-PB.pdf.jpg13a696a4459c9d22898cb30ebe6c6123MD52unal/66540oai:repositorio.unal.edu.co:unal/665402024-05-16 23:09:41.533Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Slashed Rayleigh Distribution |
| title |
Slashed Rayleigh Distribution |
| spellingShingle |
Slashed Rayleigh Distribution 51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics Kurtosis Rayleigh Distribution Slashed-elliptical Distributions Slashed-Rayleigh Distribution Slashed-Weibull Distribution Weibull Distribution Curtosis Distribución Rayleigh Distribuciones Slashed-elípticas Distribución Slashed-Rayleigh Distribución Slashed-Weibull DistribuciónWeibull. |
| title_short |
Slashed Rayleigh Distribution |
| title_full |
Slashed Rayleigh Distribution |
| title_fullStr |
Slashed Rayleigh Distribution |
| title_full_unstemmed |
Slashed Rayleigh Distribution |
| title_sort |
Slashed Rayleigh Distribution |
| dc.creator.fl_str_mv |
Iriarte, Yuri A. Gómez, Héctor W. Varela, Héctor Bolfarine, Heleno |
| dc.contributor.author.spa.fl_str_mv |
Iriarte, Yuri A. Gómez, Héctor W. Varela, Héctor Bolfarine, Heleno |
| dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics |
| topic |
51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics Kurtosis Rayleigh Distribution Slashed-elliptical Distributions Slashed-Rayleigh Distribution Slashed-Weibull Distribution Weibull Distribution Curtosis Distribución Rayleigh Distribuciones Slashed-elípticas Distribución Slashed-Rayleigh Distribución Slashed-Weibull DistribuciónWeibull. |
| dc.subject.proposal.spa.fl_str_mv |
Kurtosis Rayleigh Distribution Slashed-elliptical Distributions Slashed-Rayleigh Distribution Slashed-Weibull Distribution Weibull Distribution Curtosis Distribución Rayleigh Distribuciones Slashed-elípticas Distribución Slashed-Rayleigh Distribución Slashed-Weibull DistribuciónWeibull. |
| description |
In this article we study a subfamily of the slashed-Weibull family. This subfamily can be seen as an extension of the Rayleigh distribution with more flexibility in terms of the kurtosis of distribution. This special feature makes the extension suitable for fitting atypical observations. It arises as the ratio of two independent random variables, the one in the numerator being a Rayleigh distribution and a power of the uniform distribution in the denominator. We study some probability properties, discuss maximum likelihood estimation and present real data applications indicating that the slashed-Rayleigh distribution can improve the ordinary Rayleigh distribution in fitting real data. |
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2015 |
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2015-01-01 |
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2019-07-03T02:20:00Z |
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2019-07-03T02:20:00Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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Text |
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ISSN: 2389-8976 |
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https://repositorio.unal.edu.co/handle/unal/66540 |
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ISSN: 2389-8976 |
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spa |
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spa |
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https://revistas.unal.edu.co/index.php/estad/article/view/48800 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística Revista Colombiana de Estadística |
| dc.relation.references.spa.fl_str_mv |
Iriarte, Yuri A. and Gómez, Héctor W. and Varela, Héctor and Bolfarine, Heleno (2015) Slashed Rayleigh Distribution. Revista Colombiana de Estadística, 38 (1). pp. 31-44. ISSN 2389-8976 |
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Derechos reservados - Universidad Nacional de Colombia |
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Atribución-NoComercial 4.0 Internacional |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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