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dc.contributor.authorCosta, Àlex
dc.contributor.authorSatorra, A.
dc.contributor.authorVentura, Eva
dc.date.accessioned2010-04-27T15:24:01Z
dc.date.available2010-04-27T15:24:01Z
dc.date.issued2009
dc.identifier.citationCosta, Àlex; Satorra, Albert; Ventura, Eva. On the performance of small-area estimators: fixed vs. random area parameters. "SORT", 2009, vol. 33, núm. 1, p. 85-104.
dc.identifier.issn1696-2281
dc.identifier.urihttp://hdl.handle.net/2099/8946
dc.description.abstractMost methods for small-area estimation are based on composite estimators derived from designor model-based methods. A composite estimator is a linear combination of a direct and an indirect estimator with weights that usually depend on unknown parameters which need to be estimated. Although model-based small-area estimators are usually based on random-effects models, the assumption of fixed effects is at face value more appropriate. Model-based estimators are justified by the assumption of random area effects; in practice, however, areas can not be substituted for one another in a random manner (we say, they are not interchangeable). In the present paper we empirically assess the quality of several small-area estimators in the setting in which the area effects are treated as fixed. We consider two settings: one that draws samples from a theoretical population, and another that draws samples from an empirical population of a labour force register maintained by the National Institute of Social Security (NISS) of Catalonia. We distinguish two types of composite estimators: a) those that use weights that involve area specific estimates of bias and variance; and, b) those that use weights that involve a common variance and a common squared bias estimate for all the areas. We assess their precision and discuss alternatives to optimizing composite estimation in applications.
dc.format.extent20 p.
dc.language.isoeng
dc.publisherInstitut d'Estadística de Catalunya
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
dc.subject.lcshMathematical statistics
dc.subject.lcshMathematical statistics ; Regression analysis
dc.subject.otherSmall area estimation
dc.subject.otherComposite estimator
dc.subject.otherMonte Carlo study
dc.subject.otherRandom effect model
dc.subject.otherBLUP
dc.subject.otherEmpirical BLUP
dc.titleOn the performance of small-area estimators: fixed vs. random area parameters
dc.typeArticle
dc.subject.lemacEstadística matemàtica
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::62 Statistics::62G Nonparametric inference
dc.subject.amsClassificació AMS::62 Statistics::62J Linear inference, regression
dc.rights.accessOpen Access
local.citation.authorCosta, Àlex; Satorra, Albert; Ventura, Eva
local.citation.publicationNameSORT
local.citation.volume33
local.citation.number1
local.citation.startingPage85
local.citation.endingPage104


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