Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/107683 
Year of Publication: 
2015
Series/Report no.: 
Diskussionsbeiträge No. 2015/8
Publisher: 
Freie Universität Berlin, Fachbereich Wirtschaftswissenschaft, Berlin
Abstract: 
Modern systems of official statistics require the estimation and publication of business statistics for disaggregated domains, for example, industry domains and geographical regions. Outlier robust methods have proven to be useful for small area estimation. Recently proposed outlier robust modelbased small area methods assume, however, uncorrelated random effects. Spatial dependencies, resulting from similar industry domains or geographic regions, often occur. In this paper we propose outlier robust small area methodology that allows for the presence of spatial correlation in the data. In particular, we present a robust predictive methodology that incorporates the potential spatial impact from other areas (domains) on the small area (domain) of interest. We further propose two parametric bootstrap methods for estimating the mean-squared error. Simulations indicate that the proposed methodology may lead to efficiency gains. The paper concludes with an illustrative application by using business data for estimating average labour costs in Italian provinces.
Subjects: 
bias correction
projective and predictive estimators
spatial correlation
business surveys
Document Type: 
Working Paper

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