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Related papers: On cross-validation for small area estimators

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Cross-validation is a widely-used technique to estimate prediction error, but its behavior is complex and not fully understood. Ideally, one would like to think that cross-validation estimates the prediction error for the model at hand, fit…

Methodology · Statistics 2024-03-12 Stephen Bates , Trevor Hastie , Robert Tibshirani

Cross-validation is a standard tool for obtaining a honest assessment of the performance of a prediction model. The commonly used version repeatedly splits data, trains the prediction model on the training set, evaluates the model…

Machine Learning · Statistics 2025-10-10 Tianyu Pan , Vincent Z. Yu , Viswanath Devanarayan , Lu Tian

Area-specific causal inference is important in many policy and survey applications, where the goal is to evaluate treatment effects for small geographic or demographic domains. Existing causal small area estimation methods, however,…

Statistics Theory · Mathematics 2026-05-06 Tsubasa Ito , Shonosuke Sugasawa

Predictive models ground many state-of-the-art developments in statistical brain image analysis: decoding, MVPA, searchlight, or extraction of biomarkers. The principled approach to establish their validity and usefulness is…

Quantitative Methods · Quantitative Biology 2017-06-26 Gaël Varoquaux

Small area estimation using survey data can be achieved by using either a design-based or a model-based inferential approach. Design-based direct estimators are generally preferable because of their consistency, asymptotic normality, and…

Methodology · Statistics 2025-10-13 Alana McGovern , Katherine Wilson , Jon Wakefield

We consider a small area estimation model under square-root transformation in the presence of functional measurement error. When measurement error is present, the Bayes predictor can no longer be used as it depends on the covariates even if…

Methodology · Statistics 2023-09-27 Ka Long Keith Ho , Masayo Y. Hirose , Malay Ghosh

With the growing application of spatial predictive modeling in ecology, the question of how to appropriately evaluate the resulting maps has gained increasing attention. While there is consensus that map accuracy is ideally estimated using…

Methodology · Statistics 2026-05-14 Jan Linnenbrink , Jakub Nowosad , Hanna Meyer

In this work, inspired by machine learning techniques, we propose a new Bayesian model for Small Area Estimation (SAE), the Fay-Herriot model with Spectral Clustering (FH-SC). Unlike traditional approaches, clustering in FH-SC is based on…

Methodology · Statistics 2025-12-18 Jairo Fúquene-Patiño

Inadequate dietary micronutrient intake is a significant risk factor for deficiency and remains a major global health challenge. Nutrition programmes and interventions are most effective when targeted to populations at greatest risk.…

In Small Area Estimation data linkage can be used to combine values of the variableof interest from a national survey with values of auxiliary variables obtained from another source like a population register. Linkage errors can induce bias…

Methodology · Statistics 2019-04-02 Ray Chambers , Enrico Fabrizi , Nicola Salvati

Sparse Autoencoders (SAEs) provide potentials for uncovering structured, human-interpretable representations in Large Language Models (LLMs), making them a crucial tool for transparent and controllable AI systems. We systematically analyze…

Machine Learning · Computer Science 2026-02-03 Jack Gallifant , Shan Chen , Kuleen Sasse , Hugo Aerts , Thomas Hartvigsen , Danielle S. Bitterman

We develop constrained Bayesian estimation methods for small area problems: those requiring smoothness with respect to similarity across areas, such as geographic proximity or clustering by covariates; and benchmarking constraints,…

Methodology · Statistics 2014-10-28 Rebecca C. Steorts

Producing reliable estimates of health and demographic indicators at fine areal scales is crucial for examining heterogeneity and supporting localized health policy. However, many surveys release outcomes only at coarser administrative…

Methodology · Statistics 2026-03-05 Yunhan Wu , Finn Lindgren , Heidi A. Hanson

Model-based small area estimation is frequently used in conjunction with survey data in order to establish estimates for under-sampled or unsampled geographies. These models can be specified at either the area-level, or the unit-level, but…

Methodology · Statistics 2020-01-14 Paul A. Parker , Ryan Janicki , Scott H. Holan

Many varieties of cross validation would be statistically appealing for the estimation of smoothing and other penalized regression hyperparameters, were it not for the high cost of evaluating such criteria. Here it is shown how to…

Methodology · Statistics 2025-11-06 Simon N. Wood

Two-stage hierarchical models have been widely used in small area estimation to produce indirect estimates of areal means. When the areas are treated exchangeably and the model parameters are assumed to be the same over all areas, we might…

Methodology · Statistics 2020-01-10 Shonosuke Sugasawa , Yuki Kawakubo , Kota Ogasawara

We propose small area estimators of general indicators in off-census years, which avoid the use of deprecated census microdata, but are nearly optimal in census years. The procedure is based on replacing the obsolete census file with a…

Methodology · Statistics 2025-11-20 William Acero , Isabel Molina , J. Miguel Marín

Estimating health indicators for restricted sub-populations is a recurring challenge in epidemiology and public health. When survey data are used, Small Area Estimation (SAE) methods can improve precision by borrowing strength across…

Methodology · Statistics 2026-01-28 Aldo Gardini , Lorenzo Mori

Small area estimation has become an important tool in official statistics, used to construct estimates of population quantities for domains with small sample sizes. Typical area-level models function as a type of heteroscedastic regression,…

Methodology · Statistics 2022-09-07 Paul A. Parker , Scott H. Holan , Ryan Janicki

To truly understand vision models, we must not only interpret their learned features but also validate these interpretations through controlled experiments. While earlier work offers either rich semantics or direct control, few post-hoc…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Samuel Stevens , Wei-Lun Chao , Tanya Berger-Wolf , Yu Su