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Small area estimation of proportions under area-level compositional mixed models. (English) Zbl 07300898
Summary: This paper introduces area-level compositional mixed models by applying transformations to a multivariate Fay-Herriot model. Small area estimators of the proportions of the categories of a classification variable are derived from the new model, and the corresponding mean squared errors are estimated by parametric bootstrap. Several simulation experiments designed to analyse the behaviour of the introduced estimators are carried out. An application to real data from the Spanish Labour Force Survey of Galicia (north-west of Spain), in the first quarter of 2017, is given. The target is the estimation of domain proportions of people in the four categories of the variable labour status: under 16 years, employed, unemployed and inactive.
##### MSC:
 62D05 Sampling theory, sample surveys 62J05 Linear regression; mixed models 62P25 Applications of statistics to social sciences 62P20 Applications of statistics to economics
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##### References:
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