Improved Linear Combination of Two Estimators for a Function of Interested Parameter
In this paper, we consider the problem of improving the efficiency of alinear combination of two estimators, when the population coefficient of variation is known. We generalized the discussion from the case of a parameter to a function of interested parameter. We show that two estimators obtained f...
- Autores:
-
Fallah, Afshin
Khoshtarkib, Hamid
- 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/66512
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66512
http://bdigital.unal.edu.co/67540/
- Palabra clave:
- 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Coefficient of Variation
Shrinkage Estimator
Mean Squared Error
Linear Combination
Coeficiente de variación
Combinación lineal
Eficiencia
Error cuadrado medio.
- 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_abf2Fallah, Afshinaa627395-b562-4c10-bf0e-c1de2c2a07e0300Khoshtarkib, Hamidc0beabac-bcc8-4836-9dfd-2cceaa40f72b3002019-07-03T02:16:31Z2019-07-03T02:16:31Z2016-07-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66512http://bdigital.unal.edu.co/67540/In this paper, we consider the problem of improving the efficiency of alinear combination of two estimators, when the population coefficient of variation is known. We generalized the discussion from the case of a parameter to a function of interested parameter. We show that two estimators obtained from improved linear combination of two estimators and linear combination of two improved estimators are equivalent, in terms of efficiency. We also show that, how one can construct an doubly-improved linear combination of two estimators, when the population coefficient of variation is known.En este artículo, se considera el problema de mejorar la eficiencia de una combinación lineal de dos estimadores cuando el coeficiente de variación poblacional es conocido. Se generaliza el caso de un solo parámetro al de una función del parámetro. Se muestra que hay equivalencia, en términos de eficiencia, entre usar combinaciones lineales mejoradas y combinaciones lineales de estimadores mejorados. También se muestra como construir una combinación lineal doblemente mejorada cuando el coeficiente de variación poblacional es conocido.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/51586Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaFallah, Afshin and Khoshtarkib, Hamid (2016) Improved Linear Combination of Two Estimators for a Function of Interested Parameter. Revista Colombiana de Estadística, 39 (2). pp. 229-245. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsCoefficient of VariationShrinkage EstimatorMean Squared ErrorLinear CombinationCoeficiente de variaciónCombinación linealEficienciaError cuadrado medio.Improved Linear Combination of Two Estimators for a Function of Interested ParameterArtículo 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/ARTORIGINAL51586-300610-2-PB.pdfapplication/pdf603558https://repositorio.unal.edu.co/bitstream/unal/66512/1/51586-300610-2-PB.pdf1390211d22ddf9c35b7ac5ee31983bd0MD51THUMBNAIL51586-300610-2-PB.pdf.jpg51586-300610-2-PB.pdf.jpgGenerated Thumbnailimage/jpeg5336https://repositorio.unal.edu.co/bitstream/unal/66512/2/51586-300610-2-PB.pdf.jpgdc4bfcc1e0185588cea8b38c768e3e5bMD52unal/66512oai:repositorio.unal.edu.co:unal/665122024-05-16 23:09:36.315Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
dc.title.spa.fl_str_mv |
Improved Linear Combination of Two Estimators for a Function of Interested Parameter |
title |
Improved Linear Combination of Two Estimators for a Function of Interested Parameter |
spellingShingle |
Improved Linear Combination of Two Estimators for a Function of Interested Parameter 51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics Coefficient of Variation Shrinkage Estimator Mean Squared Error Linear Combination Coeficiente de variación Combinación lineal Eficiencia Error cuadrado medio. |
title_short |
Improved Linear Combination of Two Estimators for a Function of Interested Parameter |
title_full |
Improved Linear Combination of Two Estimators for a Function of Interested Parameter |
title_fullStr |
Improved Linear Combination of Two Estimators for a Function of Interested Parameter |
title_full_unstemmed |
Improved Linear Combination of Two Estimators for a Function of Interested Parameter |
title_sort |
Improved Linear Combination of Two Estimators for a Function of Interested Parameter |
dc.creator.fl_str_mv |
Fallah, Afshin Khoshtarkib, Hamid |
dc.contributor.author.spa.fl_str_mv |
Fallah, Afshin Khoshtarkib, Hamid |
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 Coefficient of Variation Shrinkage Estimator Mean Squared Error Linear Combination Coeficiente de variación Combinación lineal Eficiencia Error cuadrado medio. |
dc.subject.proposal.spa.fl_str_mv |
Coefficient of Variation Shrinkage Estimator Mean Squared Error Linear Combination Coeficiente de variación Combinación lineal Eficiencia Error cuadrado medio. |
description |
In this paper, we consider the problem of improving the efficiency of alinear combination of two estimators, when the population coefficient of variation is known. We generalized the discussion from the case of a parameter to a function of interested parameter. We show that two estimators obtained from improved linear combination of two estimators and linear combination of two improved estimators are equivalent, in terms of efficiency. We also show that, how one can construct an doubly-improved linear combination of two estimators, when the population coefficient of variation is known. |
publishDate |
2016 |
dc.date.issued.spa.fl_str_mv |
2016-07-01 |
dc.date.accessioned.spa.fl_str_mv |
2019-07-03T02:16:31Z |
dc.date.available.spa.fl_str_mv |
2019-07-03T02:16:31Z |
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/66512 |
dc.identifier.eprints.spa.fl_str_mv |
http://bdigital.unal.edu.co/67540/ |
identifier_str_mv |
ISSN: 2389-8976 |
url |
https://repositorio.unal.edu.co/handle/unal/66512 http://bdigital.unal.edu.co/67540/ |
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/51586 |
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 |
Fallah, Afshin and Khoshtarkib, Hamid (2016) Improved Linear Combination of Two Estimators for a Function of Interested Parameter. Revista Colombiana de Estadística, 39 (2). pp. 229-245. 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/66512/1/51586-300610-2-PB.pdf https://repositorio.unal.edu.co/bitstream/unal/66512/2/51586-300610-2-PB.pdf.jpg |
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Repositorio Institucional Universidad Nacional de Colombia |
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