Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record Values
This paper studies shrinkage estimation after the preliminary test for the parameters of exponential distribution based on record values. The optimal value of shrinkage coefficients is also obtained based on the minimax regret criterion. The maximum likelihood, pre-test, and shrinkage estimators are...
- Autores:
-
Zakerzadeh, Hojatollah
Jafari, Ali Akbar
Karimi, Mahdieh
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2016
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66521
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66521
http://bdigital.unal.edu.co/67549/
- Palabra clave:
- 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Exponential Distribution
Minimax Regret
Record Value
Risk Function
Shrinkage Estimator
Estimador shrinkage
Distribución exponencial
Minimax regret
Función de riesgo
Valor record.
- 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_abf2Zakerzadeh, Hojatollah93a61df0-028b-4a3e-a9a7-e04739d6991f300Jafari, Ali Akbara03be986-73e9-44ef-a01b-98cad6346df8300Karimi, Mahdieh79b81835-012e-4797-a78f-355d0726a7e63002019-07-03T02:17:39Z2019-07-03T02:17:39Z2016-01-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66521http://bdigital.unal.edu.co/67549/This paper studies shrinkage estimation after the preliminary test for the parameters of exponential distribution based on record values. The optimal value of shrinkage coefficients is also obtained based on the minimax regret criterion. The maximum likelihood, pre-test, and shrinkage estimators are compared using a simulation study. The results to estimate the scale parameter show that the optimal shrinkage estimator is better than the maximum likelihood estimator in all cases, and when the prior guess is near the true value, the pre-test estimator is better than shrinkage estimator. The results to estimate the location parameter show that the optimal shrinkage estimator is better than maximum likelihood estimator when a prior guess is close to the true value. All estimators are illustrated by a numerical example.Este artículo estudia la estimación shrinkage posterior al test preliminar de los parámetros de la distribución exponencial basada en valores record. El valor óptimo de los coeficientes de shrinkage es obtenido también usando el criterio minimax regret. La máxima verosimilitud, pre-test, y los estimadores shrinkage son obtenidos usando estudios de simulación. Los resultados de la estimación del parámetro de escala muestran que el estimador shrinkage es major que el de máxima verosimilitud en todos los casos, y cuando el valor a priori es cercano del valor real, el estimador pre-test es mejor que el estimador shrinkage. Los resultados de estimación del parámetro de localización muestran que el estimador de shrinkage óptimo es major que el de máxima verosimilitud cuando el valor a priori es cercano al real. Todos los estimadores son ilustrados con un ejemplo numérico.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/55137Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaZakerzadeh, Hojatollah and Jafari, Ali Akbar and Karimi, Mahdieh (2016) Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record Values. Revista Colombiana de Estadística, 39 (1). pp. 33-44. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsExponential DistributionMinimax RegretRecord ValueRisk FunctionShrinkage EstimatorEstimador shrinkageDistribución exponencialMinimax regretFunción de riesgoValor record.Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record ValuesArtículo 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/ARTORIGINAL55137-279442-1-PB.pdfapplication/pdf684090https://repositorio.unal.edu.co/bitstream/unal/66521/1/55137-279442-1-PB.pdf730ffe3479aef25a04f543fc2a52a5d6MD51THUMBNAIL55137-279442-1-PB.pdf.jpg55137-279442-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5620https://repositorio.unal.edu.co/bitstream/unal/66521/2/55137-279442-1-PB.pdf.jpg0ce53966e5d941f3fd67e271cdd9e114MD52unal/66521oai:repositorio.unal.edu.co:unal/665212024-05-16 23:09:37.908Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
dc.title.spa.fl_str_mv |
Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record Values |
title |
Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record Values |
spellingShingle |
Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record Values 51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics Exponential Distribution Minimax Regret Record Value Risk Function Shrinkage Estimator Estimador shrinkage Distribución exponencial Minimax regret Función de riesgo Valor record. |
title_short |
Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record Values |
title_full |
Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record Values |
title_fullStr |
Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record Values |
title_full_unstemmed |
Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record Values |
title_sort |
Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record Values |
dc.creator.fl_str_mv |
Zakerzadeh, Hojatollah Jafari, Ali Akbar Karimi, Mahdieh |
dc.contributor.author.spa.fl_str_mv |
Zakerzadeh, Hojatollah Jafari, Ali Akbar Karimi, Mahdieh |
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 Exponential Distribution Minimax Regret Record Value Risk Function Shrinkage Estimator Estimador shrinkage Distribución exponencial Minimax regret Función de riesgo Valor record. |
dc.subject.proposal.spa.fl_str_mv |
Exponential Distribution Minimax Regret Record Value Risk Function Shrinkage Estimator Estimador shrinkage Distribución exponencial Minimax regret Función de riesgo Valor record. |
description |
This paper studies shrinkage estimation after the preliminary test for the parameters of exponential distribution based on record values. The optimal value of shrinkage coefficients is also obtained based on the minimax regret criterion. The maximum likelihood, pre-test, and shrinkage estimators are compared using a simulation study. The results to estimate the scale parameter show that the optimal shrinkage estimator is better than the maximum likelihood estimator in all cases, and when the prior guess is near the true value, the pre-test estimator is better than shrinkage estimator. The results to estimate the location parameter show that the optimal shrinkage estimator is better than maximum likelihood estimator when a prior guess is close to the true value. All estimators are illustrated by a numerical example. |
publishDate |
2016 |
dc.date.issued.spa.fl_str_mv |
2016-01-01 |
dc.date.accessioned.spa.fl_str_mv |
2019-07-03T02:17:39Z |
dc.date.available.spa.fl_str_mv |
2019-07-03T02:17:39Z |
dc.type.spa.fl_str_mv |
Artículo de revista |
dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
dc.type.coarversion.spa.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.content.spa.fl_str_mv |
Text |
dc.type.redcol.spa.fl_str_mv |
http://purl.org/redcol/resource_type/ART |
format |
http://purl.org/coar/resource_type/c_6501 |
status_str |
publishedVersion |
dc.identifier.issn.spa.fl_str_mv |
ISSN: 2389-8976 |
dc.identifier.uri.none.fl_str_mv |
https://repositorio.unal.edu.co/handle/unal/66521 |
dc.identifier.eprints.spa.fl_str_mv |
http://bdigital.unal.edu.co/67549/ |
identifier_str_mv |
ISSN: 2389-8976 |
url |
https://repositorio.unal.edu.co/handle/unal/66521 http://bdigital.unal.edu.co/67549/ |
dc.language.iso.spa.fl_str_mv |
spa |
language |
spa |
dc.relation.spa.fl_str_mv |
https://revistas.unal.edu.co/index.php/estad/article/view/55137 |
dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística Revista Colombiana de Estadística |
dc.relation.references.spa.fl_str_mv |
Zakerzadeh, Hojatollah and Jafari, Ali Akbar and Karimi, Mahdieh (2016) Optimal Shrinkage Estimations for the Parameters of Exponential Distribution Based on Record Values. Revista Colombiana de Estadística, 39 (1). pp. 33-44. ISSN 2389-8976 |
dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.license.spa.fl_str_mv |
Atribución-NoComercial 4.0 Internacional |
dc.rights.uri.spa.fl_str_mv |
http://creativecommons.org/licenses/by-nc/4.0/ |
dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
rights_invalid_str_mv |
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 |
eu_rights_str_mv |
openAccess |
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application/pdf |
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Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadística |
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Universidad Nacional de Colombia |
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