Empirical best prediction of small area bivariate parameters

María Dolores Esteban, María José Lombardía, Esther López‐Vizcaíno, Domingo Morales and Agustín Pérez

Scandinavian Journal of Statistics, 2022, vol. 49, issue 4, 1699-1727

Abstract: This paper introduces empirical best predictors of small area bivariate parameters, like ratios of sums or sums of ratios, by assuming that the target unit‐level vector follows a bivariate nested error regression model. The corresponding means squared errors are estimated by parametric bootstrap. Several simulation experiments empirically study the behavior of the introduced statistical methodology. An application to real data from the Spanish household budget survey gives estimators of ratios of food household expenditures by provinces.

Date: 2022
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https://doi.org/10.1111/sjos.12618

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Persistent link: https://EconPapers.repec.org/RePEc:bla:scjsta:v:49:y:2022:i:4:p:1699-1727

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