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...

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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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oai_identifier_str oai:repositorio.unal.edu.co:unal/66512
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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_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
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dc.type.content.spa.fl_str_mv Text
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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
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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