Regularized Small Area Estimation with Graph Laplacian Benchmarking priors

arXiv:2610.11266 · stat.ME, stat.CO, stat.ML · Submitted 2026-10-08 · Read on arXiv

stat.ME, stat.CO, stat.ML

Submitted: 2026-10-08

Updated: 2026-10-08

Terminology

• Benchmarking — 119× in this paper · explained in 3 episodes
• Benchmarking Prior — 52× in this paper
• Regularization — 51× in this paper · explained in 3 episodes
• Clustering — 10× in this paper · explained in 2 episodes
• Average Household Size — 9× in this paper
• Adjacency Matrix — 7× in this paper · explained in 1 episode
• Spectral clustering — 7× in this paper · explained in 2 episodes
• Conditional Posterior Mean Square Error — 6× in this paper
• Benchmark — 4× in this paper · explained in 2 episodes
• Households Per Person — 3× in this paper
• Trace — 3× in this paper · explained in 2 episodes
• Multidimensional Poverty Index — 2× in this paper
• Objective Function — 2× in this paper · explained in 2 episodes
• Uncertainty Quantification — 2× in this paper · explained in 8 episodes
• Aggregation — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Demographic and Health Survey — 1× in this paper
• Deviance Information Criterion — 1× in this paper
• Generalized Variance Function — 1× in this paper
• National Statistical Office — 1× in this paper

Sources

• Fully Bayesian Spectral Clustering and Benchmarking with Uncertainty Quantification for Small Area Estimation
• Bayesian Benchmarking Small Area Estimation via Entropic Tilting

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