Combining Some Biased Estimation Methods with Least Trimmed Squares Regression and its Application

In the case of multicollinearity and outliers in regression analysis, the researchers are encouraged to deal with two problems simultaneously. Biased methods based on robust estimators are useful for estimating the regression coefficients for such cases. In this study we examine some robust biased e...

Full description

Autores:
Kan-Kilinç, Betül
Alpu, Ozlem
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/66538
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66538
http://bdigital.unal.edu.co/67566/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Biased Estimator
Least Trimmed Squares
Robust Estimation
Estimadores sesgados
Mínimos cuadrados recortados
Robusta estimación.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_9cd4abaeb3a1fee82788f11ffbd14bf9
oai_identifier_str oai:repositorio.unal.edu.co:unal/66538
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
spelling 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_abf2Kan-Kilinç, Betül899932bf-76ea-4ca0-a8b8-021b3635fbac300Alpu, Ozlem61ec2c7c-0f75-4736-bb55-bb8159aafab53002019-07-03T02:19:45Z2019-07-03T02:19:45Z2015-07-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66538http://bdigital.unal.edu.co/67566/In the case of multicollinearity and outliers in regression analysis, the researchers are encouraged to deal with two problems simultaneously. Biased methods based on robust estimators are useful for estimating the regression coefficients for such cases. In this study we examine some robust biased estimators on the datasets with outliers in x direction and outliers in both x and y direction from literature by means of the R package ltsbase. Instead of a complete data analysis, robust biased estimators are evaluated using capabilities and features of this package.En el caso de multicolinealidad y outliers en análisis de regresión, los investigadores se enfrentan a tener que tratar dos problemas de manera simultánea. Métodos sesgados basados en estimadores robustos son útiles para estimar los coeficientes de regresión en estos casos. En este estudio se examinan algunos estimadores sesgados robustos en conjuntos de datos con outliers en x y outliers tanto en x como en y por medio del paquete ltsbase de R. En lugar de un análisis de datos completos, los estimadores sesgados robustos son evaluados usando las capacidades y características de este paquete.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/51675Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaKan-Kilinç, Betül and Alpu, Ozlem (2015) Combining Some Biased Estimation Methods with Least Trimmed Squares Regression and its Application. Revista Colombiana de Estadística, 38 (2). pp. 485-502. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsBiased EstimatorLeast Trimmed SquaresRobust EstimationEstimadores sesgadosMínimos cuadrados recortadosRobusta estimación.Combining Some Biased Estimation Methods with Least Trimmed Squares Regression and its ApplicationArtículo 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/ARTORIGINAL51675-253072-1-PB.pdfapplication/pdf947984https://repositorio.unal.edu.co/bitstream/unal/66538/1/51675-253072-1-PB.pdfb9735a784d1bc4d919a21a58af98bca0MD51THUMBNAIL51675-253072-1-PB.pdf.jpg51675-253072-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5567https://repositorio.unal.edu.co/bitstream/unal/66538/2/51675-253072-1-PB.pdf.jpgf4fd113b2cf58475e35b716c835798ffMD52unal/66538oai:repositorio.unal.edu.co:unal/665382023-05-25 23:03:09.142Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Combining Some Biased Estimation Methods with Least Trimmed Squares Regression and its Application
title Combining Some Biased Estimation Methods with Least Trimmed Squares Regression and its Application
spellingShingle Combining Some Biased Estimation Methods with Least Trimmed Squares Regression and its Application
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Biased Estimator
Least Trimmed Squares
Robust Estimation
Estimadores sesgados
Mínimos cuadrados recortados
Robusta estimación.
title_short Combining Some Biased Estimation Methods with Least Trimmed Squares Regression and its Application
title_full Combining Some Biased Estimation Methods with Least Trimmed Squares Regression and its Application
title_fullStr Combining Some Biased Estimation Methods with Least Trimmed Squares Regression and its Application
title_full_unstemmed Combining Some Biased Estimation Methods with Least Trimmed Squares Regression and its Application
title_sort Combining Some Biased Estimation Methods with Least Trimmed Squares Regression and its Application
dc.creator.fl_str_mv Kan-Kilinç, Betül
Alpu, Ozlem
dc.contributor.author.spa.fl_str_mv Kan-Kilinç, Betül
Alpu, Ozlem
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
Biased Estimator
Least Trimmed Squares
Robust Estimation
Estimadores sesgados
Mínimos cuadrados recortados
Robusta estimación.
dc.subject.proposal.spa.fl_str_mv Biased Estimator
Least Trimmed Squares
Robust Estimation
Estimadores sesgados
Mínimos cuadrados recortados
Robusta estimación.
description In the case of multicollinearity and outliers in regression analysis, the researchers are encouraged to deal with two problems simultaneously. Biased methods based on robust estimators are useful for estimating the regression coefficients for such cases. In this study we examine some robust biased estimators on the datasets with outliers in x direction and outliers in both x and y direction from literature by means of the R package ltsbase. Instead of a complete data analysis, robust biased estimators are evaluated using capabilities and features of this package.
publishDate 2015
dc.date.issued.spa.fl_str_mv 2015-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:19:45Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:19:45Z
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/66538
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67566/
identifier_str_mv ISSN: 2389-8976
url https://repositorio.unal.edu.co/handle/unal/66538
http://bdigital.unal.edu.co/67566/
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/51675
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 Kan-Kilinç, Betül and Alpu, Ozlem (2015) Combining Some Biased Estimation Methods with Least Trimmed Squares Regression and its Application. Revista Colombiana de Estadística, 38 (2). pp. 485-502. 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
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadística
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66538/1/51675-253072-1-PB.pdf
https://repositorio.unal.edu.co/bitstream/unal/66538/2/51675-253072-1-PB.pdf.jpg
bitstream.checksum.fl_str_mv b9735a784d1bc4d919a21a58af98bca0
f4fd113b2cf58475e35b716c835798ff
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
_version_ 1814089801250373632