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Social and economic studies are often implemented as complex survey designs. For example, multistage, unequal probability sampling designs utilized by federal statistical agencies are typically constructed to maximize the efficiency of the…

Methodology · Statistics 2020-06-09 Matthew R. Williams , Terrance D. Savitsky

Small area estimation under linear mixed models often assumes that the small area effect is random effect in almost all previous studies. However, in this paper a new approach is proposed explaining small area effect as the unknown function…

Methodology · Statistics 2014-04-16 Rong Zhu , Guohua Zou , Chun Wang , Yi Hu

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

When doing impact evaluation and making causal inferences, it is important to acknowledge the heterogeneity of the treatment effects for different domains (geographic, socio-demographic, or socio-economic). If the domain of interest is…

Methodology · Statistics 2021-03-12 Setareh Ranjbar , Nicola Salvati , Barbara Pacini

We propose a new estimation methodology to address the presence of covariate measurement error by exploiting the availability of spatial data. The approach uses neighboring observations as repeated measurements, after suitably controlling…

Econometrics · Economics 2025-11-06 Susanne M. Schennach , Vincent Starck

Parameter estimation and inference from complex survey samples typically focuses on global model parameters whose estimators have asymptotic properties, such as from fixed effects regression models. The central challenge is to both mitigate…

Methodology · Statistics 2026-05-13 Matthew R. Williams , F. Hunter McGuire , Terrance D. Savitsky

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

Small area estimation (SAE) entails estimating characteristics of interest for domains, often geographical areas, in which there may be few or no samples available. SAE has a long history and a wide variety of methods have been suggested,…

Applications · Statistics 2020-06-19 Jon Wakefield , Taylor Okonek , Jon Pedersen

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

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.…

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

National statistical institutes in many countries are now mandated to produce reliable statistics for important variables such as population, income, unemployment, health outcomes, etc. for small areas, defined by geography and/or…

Methodology · Statistics 2018-10-29 Adrijo Chakraborty , Gauri Sankar Datta , Abhyuday Mandal

Generalized linear models are a popular tool in applied statistics, with their maximum likelihood estimators enjoying asymptotic Gaussianity and efficiency. As all models are wrong, it is desirable to understand these estimators' behaviours…

Methodology · Statistics 2024-12-10 Elliot H. Young , Rajen D. Shah

Accurate estimates of subnational health and demographic indicators are critical for informing health policy decisions. Many countries collect relevant data using complex household surveys, but when data are limited, direct survey weighted…

Methodology · Statistics 2022-09-07 Peter A. Gao , Jon Wakefield

In this work, we consider a multivariate regression model with one-sided errors. We assume for the regression function to lie in a general H\"{o}lder class and estimate it via a nonparametric local polynomial approach that consists of…

Statistics Theory · Mathematics 2021-02-11 Leonie Selk , Charles Tillier , Orlando Marigliano

Sample surveys are widely used to obtain information about totals, means, medians, and other parameters of finite populations. In many applications, similar information is desired for subpopulations such as individuals in specific…

Methodology · Statistics 2017-05-30 Jiahua Chen , Yukun Liu

Economic inequalities referring to specific regions are crucial in deepening spatial heterogeneity. Income surveys are generally planned to produce reliable estimates at countries or macroregion levels, thus we implement a small area model…

Applications · Statistics 2024-02-09 Silvia De Nicolò , Maria Rosaria Ferrante , Silvia Pacei

Demand for reliable statistics at a local area (small area) level has greatly increased in recent years. Traditional area-specific estimators based on probability samples are not adequate because of small sample size or even zero sample…

Methodology · Statistics 2023-06-09 Maryam Sohrabi , J. N. K. Rao

We present a proposal to deal with the non-normality issue in the context of regression models with measurement errors when both the response and the explanatory variable are observed with error. We extend the normal model by jointly…

Methodology · Statistics 2020-07-28 C. R. B. Cabral , N. L. de Souza , J. Leão

The estimation of regression parameters in spatially referenced data plays a crucial role across various scientific domains. A common approach involves employing an additive regression model to capture the relationship between observations…

Statistics Theory · Mathematics 2024-03-29 David Bolin , Jonas Wallin