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Small area prediction of proportions and counts under a spatial Poisson mixed model

Author

Listed:
  • Miguel Boubeta

    (Universidade da Coruña)

  • María José Lombardía

    (Universidade da Coruña)

  • Domingo Morales

    (Universidad Miguel Hernández de Elche)

Abstract

This paper introduces an area-level Poisson mixed model with SAR(1) spatially correlated random effects. Small area predictors of proportions and counts are derived from the new model and the corresponding mean squared errors are estimated by parametric bootstrap. The behaviour of the introduced predictors is empirically investigated by running model-based simulation experiments. An application to real data from the Spanish living conditions survey of Galicia (Spain) is given. The target is the estimation of domain proportions of women under the poverty line.

Suggested Citation

  • Miguel Boubeta & María José Lombardía & Domingo Morales, 2024. "Small area prediction of proportions and counts under a spatial Poisson mixed model," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 33(4), pages 1193-1215, September.
    • Handle: RePEc:spr:stmapp:v:33:y:2024:i:4:d:10.1007_s10260-023-00729-7
    DOI: 10.1007/s10260-023-00729-7
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