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Auxiliary information is increasingly available from administrative and other data sources, but it is often incomplete and of non-probability origin. We propose a two-step small area estimation approach in which the first step relies on…

Methodology · Statistics 2026-02-16 Donatas Šlevinskas , Ieva Burakauskaitė , Andrius Čiginas

Improving health in the most disadvantaged populations requires reliable estimates of health and demographic indicators to inform policy and interventions. Low- and middle-income countries with the largest burden of disease and disability…

Methodology · Statistics 2025-11-21 Austin E Schumacher , Jon Wakefield

This paper devises a fully Bayesian sample size determination method for hierarchical model-based small area estimation with a decision risk approach. A new loss function specified around a desired maximum posterior variance target…

Methodology · Statistics 2018-02-27 Peter Dutey-Magni

The topic of deep learning has seen a surge of interest in recent years both within and outside of the field of Statistics. Deep models leverage both nonlinearity and interaction effects to provide superior predictions in many cases when…

Methodology · Statistics 2020-09-18 Paul A. Parker , Scott H. Holan

The paper delineates a proper statistical setting for defining the sampling design for a small area estimation problem. This problem is often treated only via indirect estimation using the values of the variable of interest also from…

Methodology · Statistics 2023-03-16 Piero Demetrio Falorsi , Stefano Falorsi , Vincenzo Nardelli , Paolo Righi

Subnational monitoring of public health often relies on household surveys where data are sparse at the desired spatial resolution. Small area estimation (SAE) methods address this challenge by borrowing strength across areas and…

Methodology · Statistics 2026-05-12 Qianyu Dong , Zehang Richard Li

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

Health surveys allow exploring health indicators that are of great value from a public health point of view and that cannot normally be studied from regular health registries. These indicators are usually coded as ordinal variables and may…

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

In the case of informative sampling the sampling scheme explicitly or implicitly depends on the response variable. As a result, the sample distribution of response variable can- not be used for making inference about the population. In this…

Applications · Statistics 2016-11-18 Anna Sikov

There has been recent growth in small area estimation due to the need for more precise estimation of small geographic areas, which has led to groups such as the U.S. Census Bureau, Google, and the RAND corporation utilizing small area…

Methodology · Statistics 2013-07-17 Malay Ghosh , Rebecca C. Steorts

In this paper, the authors first provide an overview of two major developments on complex survey data analysis: the empirical likelihood methods and statistical inference with non-probability survey samples, and highlight the important…

Methodology · Statistics 2025-08-14 Yilin Chen , Pengfei Li , J. N. K. Rao , Changbao Wu

Many countries conduct a full census survey to report official population statistics. As no census survey ever achieves 100 per cent response rate, a post-enumeration survey (PES) is usually conducted and analysed to assess census coverage…

We consider an empirical likelihood framework for inference for a statistical model based on an informative sampling design and population-level information. The population-level information is summarized in the form of estimating equations…

Methodology · Statistics 2022-09-07 Sanjay Chaudhuri , Mark S. Handcock , Michael S. Rendall

In small area estimation, it is sometimes necessary to use model-based methods to produce estimates in areas with little or no data. In official statistics, we often require that some aggregate of small area estimates agree with a national…

Methodology · Statistics 2023-01-31 Taylor Okonek , Jon Wakefield

Understanding how and why certain communities bear a disproportionate burden of disease is challenging due to the scarcity of data on these communities. Surveys provide a useful avenue for accessing hard-to-reach populations, as many…

Methodology · Statistics 2023-07-27 Stephanie M. Wu , Briana Joy K. Stephenson

A two-stage normal hierarchical model called the Fay--Herriot model and the empirical Bayes estimator are widely used to provide indirect and model-based estimates of means in small areas. However, the performance of the empirical Bayes…

Methodology · Statistics 2019-08-26 Shonosuke Sugasawa

Random effects model can account for the lack of fitting a regression model and increase precision of estimating area-level means. However, in case that the synthetic mean provides accurate estimates, the prior distribution may inflate an…

Methodology · Statistics 2016-12-05 Shonosuke Sugasawa , Tatsuya Kubokawa , Kota Ogasawara

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

It has historically been a challenge to perform Bayesian inference in a design-based survey context. The present paper develops a Bayesian model for sampling inference in the presence of inverse-probability weights. We use a hierarchical…

Methodology · Statistics 2020-06-24 Yajuan Si , Natesh S. Pillai , Andrew Gelman