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Traditional regression models assume stationary relationships between predictors and responses, failing to capture the spatial heterogeneity present in many environmental, epidemiological, and ecological processes. To address this…

统计方法学 · 统计学 2025-05-27 Justice Akuoko-Frimpong , Edward Shao , Jonathan Ta

Spatially varying coefficients (SVC) models allow for marginal effects to be non-stationary over space and thus offer a higher degree of flexibility with respect to standard geostatistical models with external drift. At the same time, SVC…

统计方法学 · 统计学 2025-11-27 Yacine Mohamed Idir , Thomas Romary

Species distribution models (SDMs) are increasingly applied across macroscales. Such models typically assume that a single set of regression coefficients can adequately describe species-environment relationships and/or population trends.…

Spatially varying coefficient (SVC) models are a type of regression model for spatial data where covariate effects vary over space. If there are several covariates, a natural question is which covariates have a spatially varying effect and…

统计方法学 · 统计学 2021-02-12 Jakob A. Dambon , Fabio Sigrist , Reinhard Furrer

In regression models for spatial data, it is often assumed that the marginal effects of covariates on the response are constant over space. In practice, this assumption might often be questionable. In this article, we show how a Gaussian…

统计方法学 · 统计学 2020-11-13 Jakob A. Dambon , Fabio Sigrist , Reinhard Furrer

While spatially varying coefficient (SVC) modeling is popular in applied science, its computational burden is substantial. This is especially true if a multiscale property of SVC is considered. Given this background, this study develops a…

统计方法学 · 统计学 2018-07-26 Daisuke Murakami , Daniel A. Griffith

Human migration exhibits complex spatiotemporal dependence driven by environmental and socioeconomic forces. Modeling such patterns at scale requires methods that accommodate many random effects while remaining feasible when raw data or…

统计方法学 · 统计学 2026-05-29 Lida Chalangar Jalili Dehkharghani , Li-Hsiang Lin

It is widely known that geographically weighted regression(GWR) is essentially same as varying-coefficient model. In the former research about varying-coefficient model, scholars tend to use multidimensional-kernel-based locally weighted…

计量经济学 · 经济学 2018-04-13 Zihao Yuan

A main goal of regression is to derive statistical conclusions on the conditional distribution of the output variable Y given the input values x. Two of the most important characteristics of a single distribution are location and scale.…

机器学习 · 统计学 2011-11-09 Robert Hable , Andreas Christmann

Residuals in regression models are often spatially correlated. Prominent examples include studies in environmental epidemiology to understand the chronic health effects of pollutants. I consider the effects of residual spatial structure on…

统计方法学 · 统计学 2010-11-05 Christopher J. Paciorek

Spatially and temporally varying coefficient (STVC) models are currently attracting attention as a flexible tool to explore the spatio-temporal patterns in regression coefficients. However, these models often struggle with balancing…

统计方法学 · 统计学 2025-01-07 Daisuke Murakami , Shinichiro Shirota , Seiji Kajita , Mami Kajita

This study proposes a method for aggregating/synthesizing global and local sub-models for fast and flexible spatial regression modeling. Eigenvector spatial filtering (ESF) was used to model spatially varying coefficients and spatial…

统计方法学 · 统计学 2024-01-25 Daisuke Murakami , Shonosuke Sugasawa , Hajime Seya , Daniel A. Griffith

This study discusses the importance of balancing spatial and non-spatial variation in spatial regression modeling. Unlike spatially varying coefficients (SVC) modeling, which is popular in spatial statistics, non-spatially varying…

应用统计 · 统计学 2021-05-31 Daisuke Murakami , Daniel A. Griffith

Occupancy models are frequently used by ecologists to quantify spatial variation in species distributions while accounting for observational biases in the collection of detection-nondetection data. However, the common assumption that a…

Spatial statistical models are commonly used in geographical scenarios to ensure spatial variation is captured effectively. However, spatial models and cluster algorithms can be complicated and expensive. This paper pursues three main…

统计方法学 · 统计学 2023-11-22 Wala Draidi Areed , Aiden Price , Helen Thompson , Conor Hassan , Reid Malseed , Kerrie Mengersen

Motivated by recent work on studying massive imaging data in various neuroimaging studies, we propose a novel spatially varying coefficient model (SVCM) to spatially model the varying association between imaging measures in a…

统计方法学 · 统计学 2014-12-01 Hongtu Zhu , Jianqing Fan , Linglong Kong

As a regression technique in spatial statistics, the spatiotemporally varying coefficient model (STVC) is an important tool for discovering nonstationary and interpretable response-covariate associations over both space and time. However,…

机器学习 · 统计学 2024-05-17 Mengying Lei , Aurelie Labbe , Lijun Sun

The first law of geography is a cornerstone of spatial analysis, emphasizing that nearby and related locations tend to be more similar, however, defining what constitutes "near" and "related" remains challenging, as different phenomena…

统计方法学 · 统计学 2026-02-02 M. Naser Lessani , Zhenlong Li , Manzhu Yu , Helen Greatrex , Chan Shen

In various applications with large spatial regions, the relationship between the response variable and the covariates is expected to exhibit complex spatial patterns. We propose a spatially clustered varying coefficient model, where the…

统计方法学 · 统计学 2020-07-21 Fangzheng Lin , Yanlin Tang , Huichen Zhu , Zhongyi Zhu

Gaussian processes (GPs) are well-known tools for modeling dependent data with applications in spatial statistics, time series analysis, or econometrics. In this article, we present the R package varycoef that implements estimation,…

统计计算 · 统计学 2021-06-07 Jakob A. Dambon , Fabio Sigrist , Reinhard Furrer
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