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ベイズ空間自己相関×ベイズ空間回帰×
分野空間分析空間分析
系統Regression modelRegression model
提唱年19911990s–2000s
提唱者Besag, York & MollieBanerjee, Carlin & Gelfand (foundational treatment); building on Besag (1974) for lattice priors
種類Bayesian hierarchical spatial modelBayesian hierarchical regression
原典Besag, 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
別名Bayesian spatial dependence, Bayesian LISA, Bayesian spatial clustering, BSABayesian hierarchical spatial model, BSR, Bayesian geostatistical regression, Bayesian spatial linear model
関連63
概要Bayesian 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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ScholarGate手法を比較: Bayesian Spatial Autocorrelation · Bayesian Spatial Regression. 2026-06-15に以下より取得 https://scholargate.app/ja/compare