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Smoothed Model-Assisted Small Area Estimation

2022/01/21 by Peter A. Gao, Jon Wakefield, Gao, Peter A. +1 · 1 citation
Decision Sciences · Social Sciences · #Applications (stat.AP) #FOS: Computer and information sciences #Health disparities and outcomes #Insurance, Mortality, Demography, Risk Management #Methodology (stat.ME) #demographic modeling and climate adaptation

paper · pdf · doi:10.48550/arxiv.2201.08775

openalex publication_date 2022/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In countries where population census data are limited, generating accurate subnational estimates of health and demographic indicators is challenging. Existing model-based geostatistical methods leverage covariate information and spatial smoothing to reduce the variability of estimates but often ignore survey design, while traditional small area estimation approaches may not incorporate both unit level covariate information and spatial smoothing in a design-consistent way. We propose a smoothed model-assisted estimator that accounts for survey design and leverages both unit level covariates and spatial smoothing. Under certain assumptions, this estimator is both design-consistent and model-consistent. We compare it with existing design-based and model-based estimators using real and simulated data.

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