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

Miguel Boubeta, María José Lombardía () and Domingo Morales
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Miguel Boubeta: Universidade da Coruña
María José Lombardía: Universidade da Coruña
Domingo Morales: Universidad Miguel Hernández de Elche

Statistical Methods & Applications, 2024, vol. 33, issue 4, No 8, 1193-1215

Abstract: 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.

Keywords: Small area estimation; Area-level models; Spatial correlation; Count data; Bootstrap; Living conditions survey; poverty proportion; 62E30; 62J12 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10260-023-00729-7

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