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Song Cai

Carleton University



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Goldshid Chatrchi

Statistics Canada



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Laura Dumitrescu

Victoria University



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J.N.K Rao

Carleton University



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631 – Small Area Estimation: “Producing Estimates for Small Areas from Sampled Data”

Two-Fold Subarea Models for Small Area Estimation: Some Theory and Model Selection

Sponsor: Survey Research Methods Section
Keywords: empirical best prediction, importance sampling, information criterion, small area estimation, subarea models, variable selection

Song Cai

Carleton University

Goldshid Chatrchi

Statistics Canada

Laura Dumitrescu

Victoria University

J.N.K Rao

Carleton University

We study some inference problems under two-fold subarea models with random effects, which generalize the celebrated Fay-Herriot area model. We develop the theory of empirical best prediction for a subarea parameter under unmatched two-fold subarea models. In addition, we propose an effective variable selection method under matched two-fold subarea models, based on transformation. Simulation results are provided to illustrate the strengths of the proposed methods.

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