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Due to spatial dependence -- often characterized as complex and non-linear -- model misspecification is a prevalent and critical issue in spatial data analysis and prediction. As the data, and thus model performance, is heterogeneous,…

统计方法学 · 统计学 2025-01-28 Danielle Cabel , Shonosuke Sugasawa , Masahiro Kato , Kosaku Takanashi , Kenichiro McAlinn

We present a new method in problems where estimates are needed for finite population domains with small or even zero sample sizes. In contrast to known estimation methods, an auxiliary information is used to model sizes of population units…

统计理论 · 数学 2014-06-23 Andrius Čiginas , Tomas Rudys

Selective sweeps are typically associated with a local reduction of genetic diversity around the adaptive site. However, selective sweeps can also quickly carry neutral mutations to observable population frequencies if they arise early in a…

种群与进化 · 定量生物学 2012-06-29 Philipp W. Messer , Richard A. Neher

Towards understanding the fundamental limits of estimation from data of varied quality, we study the problem of estimating a mean parameter from heteroskedastic Gaussian observations where the variances are unknown and may vary arbitrarily…

统计理论 · 数学 2026-03-17 Yanjun Han , Abhishek Shetty , Jacob Shkrob

Area-level models for small area estimation typically rely on areal random effects to shrink design-based direct estimates towards a model-based predictor. Incorporating the spatial dependence of the random effects into these models can…

统计方法学 · 统计学 2024-04-22 Sho Kawano , Paul A. Parker , Zehang Richard Li

In epidemiological disease mapping one aims to estimate the spatio-temporal pattern in disease risk and identify high-risk clusters, allowing health interventions to be appropriately targeted. Bayesian spatio-temporal models are used to…

统计方法学 · 统计学 2014-11-11 Duncan Lee , Andrew Lawson

For situations that may benefit from information sharing among datasets, e.g., population-based SHM of similar structures, the hierarchical Bayesian approach provides a useful modelling structure. Hierarchical Bayesian models learn…

机器学习 · 计算机科学 2024-01-04 T. A. Dardeno , K. Worden , N. Dervilis , R. S. Mills , L. A. Bull

We develop a variational Bayes approach for dynamic variable selection in high-dimensional regression models with time-varying parameters and predictors that exhibit a predefined group structure. Through comprehensive simulation studies, we…

统计方法学 · 统计学 2025-04-16 Nicolas Bianco , Mauro Bernardi , Daniele Bianchi

We develop a Bayesian model-based approach to finite population estimation accounting for spatial dependence. Our innovation here is a framework that achieves inference for finite population quantities in spatial process settings. A key…

应用统计 · 统计学 2019-11-22 Alec M. Chan-Golston , Sudipto Banerjee , Mark S. Handcock

Respondent-driven sampling is a form of link-tracing network sampling, which is widely used to study hard-to-reach populations, often to estimate population proportions. Previous treatments of this process have used a with-replacement…

统计方法学 · 统计学 2010-06-25 Krista J. Gile

Representative risk estimation is fundamental to clinical decision-making. However, risks are often estimated from non-representative epidemiologic studies, which usually underrepresent minorities. "Model-based" methods use population…

统计方法学 · 统计学 2023-04-12 Lingxiao Wang , Yan Li , Barry I. Graubard , Hormuzd A. Katki

We model longitudinal macular thickness measurements to monitor the course of glaucoma and prevent vision loss due to disease progression. The macular thickness varies over a 6$\times$6 grid of locations on the retina with additional…

应用统计 · 统计学 2023-03-22 Erica Su , Robert E. Weiss , Kouros Nouri-Mahdavi , Andrew J. Holbrook

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…

统计方法学 · 统计学 2022-07-21 Joane S. Elleouet , Patrick Graham , Nikolai Kondratev , Abby K. Morgan , Rebecca M. Green

The size of large, geo-located datasets has reached scales where visualization of all data points is inefficient. Random sampling is a method to reduce the size of a dataset, yet it can introduce unwanted errors. We describe a method for…

人机交互 · 计算机科学 2017-09-14 Yan Zheng , Yi Ou , Alexander Lex , Jeff M. Phillips

We propose a scalable variational Bayes method for statistical inference for a single or low-dimensional subset of the coordinates of a high-dimensional parameter in sparse linear regression. Our approach relies on assigning a mean-field…

机器学习 · 统计学 2025-08-12 Ismaël Castillo , Alice L'Huillier , Kolyan Ray , Luke Travis

Additive spatial statistical models with weakly stationary process assumptions have become standard in spatial statistics. However, one disadvantage of such models is the computation time, which rapidly increases with the number of data…

统计方法学 · 统计学 2024-10-18 Sudipto Saha , Jonathan R. Bradley

Bayesian analysis is increasingly popular for use in social science and other application areas where the data are observations from an informative sample. An informative sampling design leads to inclusion probabilities that are correlated…

统计理论 · 数学 2016-06-07 Terrance D. Savitsky , Daniell Toth

Delineating the associations between images and a vector of covariates is of central interest in medical imaging studies. To tackle this problem of image response regression, we propose a novel nonparametric approach in the framework of…

机器学习 · 统计学 2022-03-04 Daiwei Zhang , Lexin Li , Chandra Sripada , Jian Kang

Using theoretical and numerical results, we document the accuracy of commonly applied variational Bayes methods across a range of state space models. The results demonstrate that, in terms of accuracy on fixed parameters, there is a clear…

统计方法学 · 统计学 2022-02-25 David T. Frazier , Ruben Loaiza-Maya , Gael M. Martin

Joint modeling of spatially-oriented dependent variables is commonplace in the environmental sciences, where scientists seek to estimate the relationships among a set of environmental outcomes accounting for dependence among these outcomes…

统计方法学 · 统计学 2021-03-22 Lu Zhang , Sudipto Banerjee , Andrew O. Finley