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Small area estimation of proportions under area-level compositional mixed models

  • María Dolores Esteban
  • María José Lombardía
  • Esther López-Vizcaíno
  • Domingo Morales
  • Agustín PérezEmail author
Original Paper


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.


Labour Force Survey Small area estimation Area-level models Compositional data Bootstrap Labour status 

Mathematics Subject Classification

62E30 62J12 


Supplementary material

11749_2019_688_MOESM1_ESM.pdf (300 kb)
Supplementary material 1 (pdf 299 KB)


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Copyright information

© Sociedad de Estadística e Investigación Operativa 2019

Authors and Affiliations

  1. 1.Universidad Miguel Hernández de ElcheAlicanteSpain
  2. 2.CITICUniversidade da CoruñaA CoruñaSpain
  3. 3.Instituto Galego de EstatísticaSantiago de CompostelaSpain

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