ArticleBayesian analysis2023
Generalized Geographically Weighted Regression Model within a Modularized Bayesian Framework.
Article in Bayesian analysis, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
What it found
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Who cites it
5 citing papers in PubMed.
- Synthesis estimators for transportability with positivity violations by a continuous covariate.Journal of the Royal Statistical Society. Series A, (Statistics in Society) · 2025Article
- Spatial non-parametric Bayesian clustered coefficients.Scientific reports · 2024Article
- Exploring the spatiotemporal relationship between influenza and air pollution in Fuzhou using spatiotemporal weighted regression model.Scientific reports · 2024Article
- Generalized Geographically Weighted Regression Model within a Modularized Bayesian Framework.Bayesian analysis · 2023Article
- Interoperability of statistical models in pandemic preparedness: principles and reality.Statistical science : a review journal of the Institute of Mathematical Statistics · 2022Article
Corrections and comments
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Authors and funding
2 authors.
Funding
Abstract
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 weighted log-likelihood which does not imply a probability distribution on data. We present a Bayesian GWR model and show that its essence is dealing with partial misspecification of the model. Current modularized Bayesian inference models accommodate partial misspecification from a single component of the model. We extend these models to handle partial misspecification in more than one component of the model, as required for our Bayesian GWR model. Information from the various spatial locations is manipulated via a geographically weighted kernel and the optimal manipulation is chosen according to a Kullback-Leibler (KL) divergence. We justify the model via an information risk minimization approach and show the consistency of the proposed estimator in terms of a geographically weighted KL divergence.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.