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The geographically weighted regression (GWR) is a well-known statistical approach to explore spatial non-stationarity of the regression relationship in spatial data analysis. In this paper, we discuss a Bayesian recourse of GWR. Bayesian…

Applications · Statistics 2020-07-07 Zhihua Ma , Yishu Xue , Guanyu Hu

In economic development, there are often regions that share similar economic characteristics, and economic models on such regions tend to have similar covariate effects. In this paper, we propose a Bayesian clustered regression for…

Econometrics · Economics 2020-06-30 Zhihua Ma , Yishu Xue , Guanyu Hu

We introduce a novel class of Bayesian mixtures for normal linear regression models which incorporates a further Gaussian random component for the distribution of the predictor variables. The proposed cluster-weighted model aims to…

Methodology · Statistics 2026-05-26 Panagiotis Papastamoulis , Konstantinos Perrakis

Investigating relationships between response variables and covariates in areas such as environmental science, geoscience, and public health is an important endeavor. Based on a Bayesian mixture of finite mixtures model, we present a novel…

Methodology · Statistics 2023-06-06 Peng Zhao , Hou-Cheng Yang , Dipak K. Dey , Guanyu Hu

A main purpose of spatial data analysis is to predict the objective variable for the unobserved locations. Although Geographically Weighted Regression (GWR) is often used for this purpose, estimation instability proves to be an issue. To…

Methodology · Statistics 2024-02-29 Toshiki Sakai , Jun Tsuchida , Hiroshi Yadohisa

Geographically weighted regression (GWR) models handle geographical dependence through a spatially varying coefficient model and have been widely used in applied science, but its general Bayesian extension is unclear because it involves a…

Methodology · Statistics 2026-03-18 Yang Liu , Robert J. B. Goudie

In climate change study, the infrared spectral signatures of climate change have recently been conceptually adopted, and widely applied to identifying and attributing atmospheric composition change. We propose a Bayesian hierarchical model…

Applications · Statistics 2016-04-04 Zhen Zhang , Chae Young Lim , Tapabrata Maiti , Seiji Kato

In the field of population health research, understanding the similarities between geographical areas and quantifying their shared effects on health outcomes is crucial. In this paper, we synthesise a number of existing methods to create a…

Applications · Statistics 2023-11-27 Wala Draidi Areed , Aiden Price , Helen Thompson , Reid Malseed , Kerrie Mengersen

Geographic Information Systems (GIS) and related technologies have generated substantial interest among statisticians with regard to scalable methodologies for analyzing large spatial datasets. A variety of scalable spatial process models…

Machine Learning · Statistics 2021-09-10 Sudipto Banerjee

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

Methodology · Statistics 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

Local spatial models such as Geographically Weighted Regression (GWR) and Multiscale Geographically Weighted Regression (MGWR) serve as instrumental tools to capture intrinsic contextual effects through the estimates of the local intercepts…

Spatial regression or geographically weighted regression models have been widely adopted to capture the effects of auxiliary information on a response variable of interest over a region. In contrast, relationships between response and…

Methodology · Statistics 2021-04-29 Shonosuke Sugasawa , Daisuke Murakami

Uncertainty is an inherent characteristic of biological and geospatial data which is almost made by measurement error in the observed values of the quantity of interest. Ignoring measurement error can lead to biased estimates and inflated…

Applications · Statistics 2018-11-16 Vahid Tadayon

This work relates the framework of model-based clustering for spatial functional data where the data are surfaces. We first introduce a Bayesian spatial spline regression model with mixed-effects (BSSR) for modeling spatial function data.…

Methodology · Statistics 2015-08-05 Faicel Chamroukhi

Spatial generalized linear mixed-effects models are popularly used to analyze spatially indexed univariate responses. However, with modern technology, it is common to observe vector-valued mixed-type responses, e.g., a combination of…

Methodology · Statistics 2026-04-23 Arghya Mukherjee , Arnab Hazra , Dootika Vats

Inference for spatial generalized linear mixed models (SGLMMs) for high-dimensional non-Gaussian spatial data is computationally intensive. The computational challenge is due to the high-dimensional random effects and because Markov chain…

Computation · Statistics 2018-10-09 Yawen Guan , Murali Haran

Leveraging multivariate spatial dependence to improve the precision of estimates using American Community Survey data and other sample survey data has been a topic of recent interest among data-users and federal statistical agencies. One…

Applications · Statistics 2024-01-19 Ryan Janicki , Andrew M. Raim , Scott H. Holan , Jerry Maples

In regional economics research, a problem of interest is to detect similarities between regions, and estimate their shared coefficients in economics models. In this article, we propose a mixture of finite mixtures (MFM) clustered regression…

Methodology · Statistics 2021-08-31 Guanyu Hu , Yishu Xue , Zhihua Ma

Regression for spatially dependent outcomes poses many challenges, for inference and for computation. Non-spatial models and traditional spatial mixed-effects models each have their advantages and disadvantages, making it difficult for…

Methodology · Statistics 2017-08-02 John Hughes

This article introduces novel and practicable Bayesian factor analysis frameworks that are computationally feasible for moderate to large spatiotemporal data. Previous Bayesian analysis of spatiotemporal data has utilized a Bayesian factor…

Methodology · Statistics 2025-02-18 Yifan Cheng , Cheng Li
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