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Abstract
Journal of Official Statistics, Vol.19, No.3, 2003. pp. 253263

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Simultaneous Estimation of the Mean of a Binary Variable from a Large Number of Small Areas

Abstract:
We develop a frequentist method of simultaneous small area estimation under hierarchical models. The simultaneous estimator is the best ensemble predictor under the model. It is preferable to the area-specific best predictor when the distribution of the small area parameters is of interest as well. We provide details of application to binary data. We illustrate the proposed methodology on register employment and unemployment data, and validate the results by the true population values.

Keywords:
Ensemble estimator; hierarchical model; bootstrap.

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