4.1 Review

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

Journal

STATISTICAL METHODS AND APPLICATIONS
Volume -, Issue -, Pages -

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s10260-023-00729-7

Keywords

Small area estimation; Area-level models; Spatial correlation; Count data; Bootstrap; Living conditions survey; poverty proportion

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This paper introduces an area-level Poisson mixed model with SAR(1) spatially correlated random effects. Predictors for proportions and counts at small areas are derived from this model, and the corresponding mean squared errors are estimated using parametric bootstrap. The behavior of the introduced predictors is empirically investigated through model-based simulation experiments. An application to real data from the Spanish living conditions survey of Galicia (Spain) is provided, focusing on estimating the proportions of women under the poverty line.
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.

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