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Concept

Local Equivalent Weights

Within the hierarchical Gaussian process framework, weights derived by matching the first-order sensitivity of a model-assisted estimator to that of a weighted sample mean. They allow nonparametric estimators to be incorporated into classical survey inference, facilitating variance estimation and confidence interval construction.

Timeline (last 90 days)

Oct 15

This study proposes a survey-weighting framework based on hierarchical Gaussian process (HGP) regression, using kernel smoothing to share information across related units, and derives local equivalent weights.

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Oct 15

Local equivalent weights are constructed by matching the first-order sensitivity of the plug-in post-stratification estimator with the first-order sensitivity of a weighted average fitted response mean, both differentiated with respect to the latent mean scale vector.

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Oct 15

This work extends the construction of local equivalent weights to nonparametric modeling, providing a computational framework and conditional theoretical results for survey weighting of structured, sparse populations.

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