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Bayesilik mitmemõõtmeline geograafiliselt kaalutud regressioon×Bayesian Spatial Regression×
ValdkondRuumianalüüsRuumianalüüs
PerekondRegression modelRegression model
Tekkeaasta2017-20201990s–2000s
LoojaFotheringham, Yang & Kang (MGWR); Bayesian extension by Li and co-authorsBanerjee, Carlin & Gelfand (foundational treatment); building on Besag (1974) for lattice priors
TüüpSpatially varying coefficient regressionBayesian hierarchical regression
AlgallikasFotheringham, A. S., Yang, W., & Kang, W. (2017). Multiscale Geographically Weighted Regression (MGWR). Annals of the American Association of Geographers, 107(6), 1247-1265. DOI ↗Banerjee, S., Carlin, B. P., & Gelfand, A. E. (2015). Hierarchical Modeling and Analysis for Spatial Data (2nd ed.). CRC Press. ISBN: 978-1439819173
RööpnimetusedBayesian MGWR, B-MGWR, Bayesian multiscale GWR, Bayesian spatially varying coefficient modelBayesian hierarchical spatial model, BSR, Bayesian geostatistical regression, Bayesian spatial linear model
Seotud63
KokkuvõteBayesian Multiscale Geographically Weighted Regression (Bayesian MGWR) extends the MGWR framework by placing Bayesian priors on each spatially varying coefficient. Each predictor is allowed its own bandwidth — its own geographic scale of influence — while Bayesian inference replaces classical back-fitting with posterior sampling, yielding full uncertainty quantification for every local coefficient surface.Bayesian Spatial Regression embeds a spatially structured random effect into a regression framework and estimates all parameters — including spatial range and variance — through posterior inference rather than point estimation. It handles spatial autocorrelation, quantifies full predictive uncertainty, and accommodates small or irregular spatial datasets via hierarchical priors.
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ScholarGateVõrdle meetodeid: Bayesian Multiscale Geographically Weighted Regression · Bayesian Spatial Regression. Loetud 2026-06-17 aadressilt https://scholargate.app/et/compare