A Note on Generalized Exponential Type Estimator for Population Variance in Survey Sampling
Recently a new generalized estimator for population variance using information on the auxiliary variable has been introduced by Asghar, Sanaullah and Hanif (2014). In that paper there was some inaccuracy in the bias and MSE expressions. In this paper, we provide the correct expressions for bias and...
- Autores:
-
Shabbir, Javid
Gupta, Sat
- 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/66532
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66532
http://bdigital.unal.edu.co/67560/
- Palabra clave:
- 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Auxiliary Variable
Bias
Efficiency
Mean Square Error
Variance
Error cuadrático medio
Sesgo
Variable auxiliar
Varianza
Eficiencia.
- 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_abf2Shabbir, Javidaa2c2ef7-5475-4227-b167-f85cf2d80370300Gupta, Sate603fd32-92fe-4d30-b613-cb81a6415d523002019-07-03T02:19:00Z2019-07-03T02:19:00Z2015-07-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66532http://bdigital.unal.edu.co/67560/Recently a new generalized estimator for population variance using information on the auxiliary variable has been introduced by Asghar, Sanaullah and Hanif (2014). In that paper there was some inaccuracy in the bias and MSE expressions. In this paper, we provide the correct expressions for bias and MSE of the Asghar et al. (2014) estimator, up to the first order of approximation. We also propose a new generalized exponential type estimator for population variance which performs better than the existing estimators. Four data sets are used for numerical comparison of efficiencies.Recientemente, un nuevo estimador generalizado de varianza de la población utilizando información sobre la variable auxiliar ha sido introducida por Asghar et al. (2014). En ese documento había alguna inexactitud en las expresiones de sesgo y ECM. En este trabajo, proporcionamos las expresiones correctas de sesgo y ECM de Asghar et al. (2014) hasta el primer orden de aproximación. También proponemos un nuevo estimador tipo exponencial generalizado de la varianza de la población que se comporta mejor que los estimadores existentes. Cuatro conjuntos de datos se utilizan para la comparaciónnumérica de la eficiencia.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/51667Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaShabbir, Javid and Gupta, Sat (2015) A Note on Generalized Exponential Type Estimator for Population Variance in Survey Sampling. Revista Colombiana de Estadística, 38 (2). pp. 385-397. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsAuxiliary VariableBiasEfficiencyMean Square ErrorVarianceError cuadrático medioSesgoVariable auxiliarVarianzaEficiencia.A Note on Generalized Exponential Type Estimator for Population Variance in Survey SamplingArtículo 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/ARTORIGINAL51667-253062-1-PB.pdfapplication/pdf544858https://repositorio.unal.edu.co/bitstream/unal/66532/1/51667-253062-1-PB.pdf38b80f2da7081779cccd752d378e3a2aMD51THUMBNAIL51667-253062-1-PB.pdf.jpg51667-253062-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5436https://repositorio.unal.edu.co/bitstream/unal/66532/2/51667-253062-1-PB.pdf.jpgf809799902d5e27983618ecf067cd770MD52unal/66532oai:repositorio.unal.edu.co:unal/665322023-05-25 23:03:07.031Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
dc.title.spa.fl_str_mv |
A Note on Generalized Exponential Type Estimator for Population Variance in Survey Sampling |
title |
A Note on Generalized Exponential Type Estimator for Population Variance in Survey Sampling |
spellingShingle |
A Note on Generalized Exponential Type Estimator for Population Variance in Survey Sampling 51 Matemáticas / Mathematics 31 Colecciones de estadística general / Statistics Auxiliary Variable Bias Efficiency Mean Square Error Variance Error cuadrático medio Sesgo Variable auxiliar Varianza Eficiencia. |
title_short |
A Note on Generalized Exponential Type Estimator for Population Variance in Survey Sampling |
title_full |
A Note on Generalized Exponential Type Estimator for Population Variance in Survey Sampling |
title_fullStr |
A Note on Generalized Exponential Type Estimator for Population Variance in Survey Sampling |
title_full_unstemmed |
A Note on Generalized Exponential Type Estimator for Population Variance in Survey Sampling |
title_sort |
A Note on Generalized Exponential Type Estimator for Population Variance in Survey Sampling |
dc.creator.fl_str_mv |
Shabbir, Javid Gupta, Sat |
dc.contributor.author.spa.fl_str_mv |
Shabbir, Javid Gupta, Sat |
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 Auxiliary Variable Bias Efficiency Mean Square Error Variance Error cuadrático medio Sesgo Variable auxiliar Varianza Eficiencia. |
dc.subject.proposal.spa.fl_str_mv |
Auxiliary Variable Bias Efficiency Mean Square Error Variance Error cuadrático medio Sesgo Variable auxiliar Varianza Eficiencia. |
description |
Recently a new generalized estimator for population variance using information on the auxiliary variable has been introduced by Asghar, Sanaullah and Hanif (2014). In that paper there was some inaccuracy in the bias and MSE expressions. In this paper, we provide the correct expressions for bias and MSE of the Asghar et al. (2014) estimator, up to the first order of approximation. We also propose a new generalized exponential type estimator for population variance which performs better than the existing estimators. Four data sets are used for numerical comparison of efficiencies. |
publishDate |
2015 |
dc.date.issued.spa.fl_str_mv |
2015-07-01 |
dc.date.accessioned.spa.fl_str_mv |
2019-07-03T02:19:00Z |
dc.date.available.spa.fl_str_mv |
2019-07-03T02:19:00Z |
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 |
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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/66532 |
dc.identifier.eprints.spa.fl_str_mv |
http://bdigital.unal.edu.co/67560/ |
identifier_str_mv |
ISSN: 2389-8976 |
url |
https://repositorio.unal.edu.co/handle/unal/66532 http://bdigital.unal.edu.co/67560/ |
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/51667 |
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 |
Shabbir, Javid and Gupta, Sat (2015) A Note on Generalized Exponential Type Estimator for Population Variance in Survey Sampling. Revista Colombiana de Estadística, 38 (2). pp. 385-397. 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 |
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