Small-area estimation with spatial similarity

Nicholas Longford

Economics Working Papers from Department of Economics and Business, Universitat Pompeu Fabra

Abstract: A class of composite estimators of small area quantities that exploit spatial (distancerelated) similarity is derived. It is based on a distribution-free model for the areas, but the estimators are aimed to have optimal design-based properties. Composition is applied also to estimate some of the global parameters on which the small area estimators depend. It is shown that the commonly adopted assumption of random effects is not necessary for exploiting the similarity of the districts (borrowing strength across the districts). The methods are applied in the estimation of the mean household sizes and the proportions of single-member households in the counties (comarcas) of Catalonia. The simplest version of the estimators is more efficient than the established alternatives, even though the extent of spatial similarity is quite modest.

Keywords: Auxiliary information; composite estimation; design-based estimator; exploiting similarity; model-based estimator; multivariate shrinkage; small-area estimation; spatial similarity (search for similar items in EconPapers)
JEL-codes: C1 C13 C14 C15 C4 C42 (search for similar items in EconPapers)
Date: 2008-07, Revised 2009-09
New Economics Papers: this item is included in nep-ecm, nep-geo and nep-ure
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Persistent link: https://EconPapers.repec.org/RePEc:upf:upfgen:1105

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