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Bayesian Spatial Autocorrelation×Bayesian Spatial Regression×
ValdkondRuumianalüüsRuumianalüüs
PerekondRegression modelRegression model
Tekkeaasta19911990s–2000s
LoojaBesag, York & MollieBanerjee, Carlin & Gelfand (foundational treatment); building on Besag (1974) for lattice priors
TüüpBayesian hierarchical spatial modelBayesian hierarchical regression
AlgallikasBesag, J., York, J., & Mollie, A. (1991). Bayesian image restoration, with two applications in spatial statistics. Annals of the Institute of Statistical Mathematics, 43(1), 1–20. 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 spatial dependence, Bayesian LISA, Bayesian spatial clustering, BSABayesian hierarchical spatial model, BSR, Bayesian geostatistical regression, Bayesian spatial linear model
Seotud63
KokkuvõteBayesian Spatial Autocorrelation embeds spatial dependence directly into a Bayesian hierarchical model. A Conditional Autoregressive (CAR) prior encodes the expectation that neighboring areas are more similar than distant ones, and posterior inference is obtained via MCMC. This approach is especially valuable in disease mapping, ecology, and regional science, where small-area estimates need borrowing strength across neighbors.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 Spatial Autocorrelation · Bayesian Spatial Regression. Loetud 2026-06-15 aadressilt https://scholargate.app/et/compare