Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors
Bayesian analysis of the 3-component mixture of an Exponential distribution under type-I right censoring scheme is considered in this paper. The Bayes estimators and posterior risks for the unknown parameters are derived under squared error loss function, precautionary loss function and DeGroot loss...
- Autores:
-
Tahir, Muhammad
Aslam, Muhammad
- 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/66535
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66535
http://bdigital.unal.edu.co/67563/
- Palabra clave:
- 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Mixture Model
Bayes Estimators
Exponential Distribution
Loss Function
Posterior Risks
Modelo de mezcla
Estimadores de Bayes
Distribución exponencial
Función de pérdida
Riesgos posteriores.
- 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_abf2Tahir, Muhammad16397626-c0d6-4f12-bb62-f4716f097bb7300Aslam, Muhammad31a83aea-c73a-4337-99f1-15de0c151ddf3002019-07-03T02:19:23Z2019-07-03T02:19:23Z2015-07-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66535http://bdigital.unal.edu.co/67563/Bayesian analysis of the 3-component mixture of an Exponential distribution under type-I right censoring scheme is considered in this paper. The Bayes estimators and posterior risks for the unknown parameters are derived under squared error loss function, precautionary loss function and DeGroot loss function assuming the non-informative (uniform and Jeffreys') priors. The Bayes estimators and posterior risks are viewed as a function of the test termination time. A simulation study is given to highlight and compare the properties of the Bayes estimates.El análisis bayesiano de una mezcla de tres componentes de una distribución exponencial bajo el esquema de censura a la derecha tipo I se considera en este artículo. Los estimadores de Bayes y los riesgos posteriores de los parámetros desconocidos son derivados bajo una función de pérdida de error cuadrático, función de perdida precautelary función de perdida de DeGroot asumiendo a prioris no informativas (uniforme y Jeffreys). Los estimadores de Bayes y los riesgos posteriores seven como una función del tiempo de terminación del test. Un estudio de simulación muestra y compara las propiedades de los estimadores de Bayes.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/51670Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaTahir, Muhammad and Aslam, Muhammad (2015) Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors. Revista Colombiana de Estadística, 38 (2). pp. 431-452. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsMixture ModelBayes EstimatorsExponential DistributionLoss FunctionPosterior RisksModelo de mezclaEstimadores de BayesDistribución exponencialFunción de pérdidaRiesgos posteriores.Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative PriorsArtículo 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/ARTORIGINAL51670-253065-1-PB.pdfapplication/pdf656924https://repositorio.unal.edu.co/bitstream/unal/66535/1/51670-253065-1-PB.pdf13e6e08792da54f5964584c1e8401889MD51THUMBNAIL51670-253065-1-PB.pdf.jpg51670-253065-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5534https://repositorio.unal.edu.co/bitstream/unal/66535/2/51670-253065-1-PB.pdf.jpgda4e4faabe763efccd69096990d7dfc0MD52unal/66535oai:repositorio.unal.edu.co:unal/665352023-05-25 23:03:08.25Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors |
| title |
Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors |
| spellingShingle |
Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors 51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics Mixture Model Bayes Estimators Exponential Distribution Loss Function Posterior Risks Modelo de mezcla Estimadores de Bayes Distribución exponencial Función de pérdida Riesgos posteriores. |
| title_short |
Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors |
| title_full |
Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors |
| title_fullStr |
Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors |
| title_full_unstemmed |
Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors |
| title_sort |
Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors |
| dc.creator.fl_str_mv |
Tahir, Muhammad Aslam, Muhammad |
| dc.contributor.author.spa.fl_str_mv |
Tahir, Muhammad Aslam, Muhammad |
| 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 Mixture Model Bayes Estimators Exponential Distribution Loss Function Posterior Risks Modelo de mezcla Estimadores de Bayes Distribución exponencial Función de pérdida Riesgos posteriores. |
| dc.subject.proposal.spa.fl_str_mv |
Mixture Model Bayes Estimators Exponential Distribution Loss Function Posterior Risks Modelo de mezcla Estimadores de Bayes Distribución exponencial Función de pérdida Riesgos posteriores. |
| description |
Bayesian analysis of the 3-component mixture of an Exponential distribution under type-I right censoring scheme is considered in this paper. The Bayes estimators and posterior risks for the unknown parameters are derived under squared error loss function, precautionary loss function and DeGroot loss function assuming the non-informative (uniform and Jeffreys') priors. The Bayes estimators and posterior risks are viewed as a function of the test termination time. A simulation study is given to highlight and compare the properties of the Bayes estimates. |
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2015 |
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2015-07-01 |
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2019-07-03T02:19:23Z |
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2019-07-03T02:19:23Z |
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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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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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publishedVersion |
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ISSN: 2389-8976 |
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https://repositorio.unal.edu.co/handle/unal/66535 |
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http://bdigital.unal.edu.co/67563/ |
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ISSN: 2389-8976 |
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https://repositorio.unal.edu.co/handle/unal/66535 http://bdigital.unal.edu.co/67563/ |
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spa |
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spa |
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https://revistas.unal.edu.co/index.php/estad/article/view/51670 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística Revista Colombiana de Estadística |
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Tahir, Muhammad and Aslam, Muhammad (2015) Bayesian Analysis of the 3-Component Mixture of Exponential Distribution Assuming the Non-Informative Priors. Revista Colombiana de Estadística, 38 (2). pp. 431-452. ISSN 2389-8976 |
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Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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info:eu-repo/semantics/openAccess |
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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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