Improving both domain and total area estimation by composition

In this article we propose small area estimators for both the small and large area parameters. When the objective is to estimate parameters at both levels, optimality is achieved by a sample design that combines fixed and proportional allocation. In such a design, one fraction of the sample is distr...

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Detalles Bibliográficos
Autores: Costa, Àlex, Satorra, Albert|||0000-0001-8974-5241, Ventura, Eva
Tipo de recurso: artículo
Fecha de publicación:2004
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:93941
Acceso en línea:https://ddd.uab.cat/record/93941
Access Level:acceso abierto
Palabra clave:Regional statistics
Small areas
Mean square error
Direct and composite estimators
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spelling Improving both domain and total area estimation by compositionCosta, ÀlexSatorra, Albert|||0000-0001-8974-5241Ventura, EvaRegional statisticsSmall areasMean square errorDirect and composite estimatorsIn this article we propose small area estimators for both the small and large area parameters. When the objective is to estimate parameters at both levels, optimality is achieved by a sample design that combines fixed and proportional allocation. In such a design, one fraction of the sample is distributed proportionally among the small areas and the rest is evenly distributed. Simulation is used to assess the performance of the direct estimator and two composite small area estimators, for a range of sample sizes and different sample distributions. Performance is measured in terms of mean squared errors for both small and large area parameters. Small area composite estimators open the possibility of reducing the sample size when the desired precision is given, or improving precision for a given sample size. 22004-01-0120042004-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/93941reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/3.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:939412026-06-06T12:50:31Z
dc.title.none.fl_str_mv Improving both domain and total area estimation by composition
title Improving both domain and total area estimation by composition
spellingShingle Improving both domain and total area estimation by composition
Costa, Àlex
Regional statistics
Small areas
Mean square error
Direct and composite estimators
title_short Improving both domain and total area estimation by composition
title_full Improving both domain and total area estimation by composition
title_fullStr Improving both domain and total area estimation by composition
title_full_unstemmed Improving both domain and total area estimation by composition
title_sort Improving both domain and total area estimation by composition
dc.creator.none.fl_str_mv Costa, Àlex
Satorra, Albert|||0000-0001-8974-5241
Ventura, Eva
author Costa, Àlex
author_facet Costa, Àlex
Satorra, Albert|||0000-0001-8974-5241
Ventura, Eva
author_role author
author2 Satorra, Albert|||0000-0001-8974-5241
Ventura, Eva
author2_role author
author
dc.subject.none.fl_str_mv Regional statistics
Small areas
Mean square error
Direct and composite estimators
topic Regional statistics
Small areas
Mean square error
Direct and composite estimators
description In this article we propose small area estimators for both the small and large area parameters. When the objective is to estimate parameters at both levels, optimality is achieved by a sample design that combines fixed and proportional allocation. In such a design, one fraction of the sample is distributed proportionally among the small areas and the rest is evenly distributed. Simulation is used to assess the performance of the direct estimator and two composite small area estimators, for a range of sample sizes and different sample distributions. Performance is measured in terms of mean squared errors for both small and large area parameters. Small area composite estimators open the possibility of reducing the sample size when the desired precision is given, or improving precision for a given sample size.
publishDate 2004
dc.date.none.fl_str_mv 2
2004-01-01
2004
2004-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/93941
url https://ddd.uab.cat/record/93941
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/3.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/3.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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