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Empirical Bayes small area estimation based on the well-known Fay-Herriot model may produce unreliable estimates when outlying areas exist. Existing robust methods against outliers or model misspecification are generally inefficient when…

统计方法学 · 统计学 2022-06-28 Daisuke Kurisu , Takuya Ishihara , Shonosuke Sugasawa

The Fay-Herriot model is a standard model for direct survey estimators in which the true quantity of interest, the superpopulation mean, is latent and its estimation is improved through the use of auxiliary covariates. In the context of…

统计方法学 · 统计学 2013-10-29 Aaron T. Porter , Christopher K. Wikle , Scott H. Holan

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…

统计方法学 · 统计学 2026-02-16 Donatas Šlevinskas , Ieva Burakauskaitė , Andrius Čiginas

Small area population estimates are useful for decision making in the private and public sectors. However, in small areas (i.e., those that are difficult to reach and with small population sizes) computing demographic quantities is…

应用统计 · 统计学 2019-05-15 Jairo Fúquene , Andryu Mendoza , Cesar Cristancho , Mariana Ospina

The Fay-Herriot (FH) model is widely used in small area estimation and uses auxiliary information to reduce estimation variance at undersampled locations. We extend the type of covariate information used in the FH model to include…

统计方法学 · 统计学 2014-05-12 Aaron T. Porter , Scott H. Holan , Christopher K. Wikle , Noel Cressie

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…

统计方法学 · 统计学 2019-08-26 Shonosuke Sugasawa

The multivariate Fay-Herriot model is quite effective in combining information through correlations among small area survey estimates of related variables or historical survey estimates of the same variable or both. Though the literature on…

统计方法学 · 统计学 2020-06-29 Takumi Saegusa , Shonosuke Sugasawa , Partha Lahiri

Small area estimation (SAE) plays a central role in survey statistics and epidemiology, providing reliable estimates for domains with limited sample sizes. The multivariate Fay-Herriot model has been extensively used for this purpose,…

统计方法学 · 统计学 2026-01-22 Shushi Nishina , Takahiro Onizuka , Shintaro Hashimoto

International migration is now a significant driver of population change across Europe but the methods available to estimate its true impact upon sub-national areas remain inconsistent, constrained by inadequate systems of measurement and…

应用统计 · 统计学 2009-08-24 Peter Boden , Phil Rees

For estimating area-specific parameters (quantities) in a finite population, a mixed model prediction approach is attractive. However, this approach strongly depends on the normality assumption of the response values although we often…

统计方法学 · 统计学 2018-06-12 Shonosuke Sugasawa , Tatsuya Kubokawa

Small area estimation models are essential for estimating population characteristics in regions with limited sample sizes, thereby supporting policy decisions, demographic studies, and resource allocation, among other use cases. The spatial…

机器学习 · 统计学 2025-03-20 Zhenhua Wang , Paul A. Parker , Scott H. Holan

Predicting human mobility patterns has many practical applications in urban planning, traffic engineering, infectious disease epidemiology, emergency management and location-based services. Developing a universal model capable of accurately…

物理与社会 · 物理学 2019-04-22 Erjian Liu , Xiao-Yong Yan

This extended abstract describes an ongoing project that attempts to blend publicly available organic, real time behavioral data, event data, and traditional migration data to determine when and where people will move during times of…

计算机与社会 · 计算机科学 2020-07-14 Lisa Singh , Katharine Donato , Ali Arab , Tomas Alvarez Belon , Abraham Fraifeld , Sean Fulmer , Douglas Post , Yanchen Wang

This article considers a robust hierarchical Bayesian approach to deal with random effects of small area means when some of these effects assume extreme values, resulting in outliers. In presence of outliers, the standard Fay-Herriot model,…

统计方法学 · 统计学 2015-10-26 Adrijo Chakraborty , Gauri Sankar Datta , Abhyuday Mandal

This paper proposes a new model-based approach to small area estimation of general finite-population parameters based on grouped data or frequency data, which is often available from sample surveys. Grouped data contains information on…

统计方法学 · 统计学 2019-09-20 Yuki Kawakubo , Genya Kobayashi

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…

统计方法学 · 统计学 2025-12-18 Jairo Fúquene-Patiño

This paper proposes a methodology to obtain estimates in small domains when the target is a composite indicator. These indicators are of utmost importance for studying multidimensional phenomena, but little research has been done on how to…

In low- and middle-income countries, household surveys are the most reliable data source to examine health and demographic indicators at the subnational level, an exercise in small area estimation. Model-based unit-level models are favored…

统计方法学 · 统计学 2022-09-23 Yunhan Wu , Jon Wakefield

The estimation of commuting flows at different spatial scales is a fundamental problem for different areas of study. Many current methods rely on parameters requiring calibration from empirical trip volumes. Their values are often not…

物理与社会 · 物理学 2014-07-24 Yingxiang Yang , Carlos Herrera , Nathan Eagle , Marta C. Gonzalez

For small area estimation of area-level data, the Fay-Herriot model is extensively used as a model based method. In the Fay-Herriot model, it is conventionally assumed that the sampling variances are known whereas estimators of sampling…

统计方法学 · 统计学 2017-05-15 Shonosuke Sugasawa , Hiromasa Tamae , Tatsuya Kubokawa
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