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| Hồi quy Không gian Bayes× | Mô hình trễ không gian (SAR / Spatial Autoregressive)× | |
|---|---|---|
| Lĩnh vực | Phân tích không gian | Phân tích không gian |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 1990s–2000s | 1988 |
| Người khởi xướng≠ | Banerjee, Carlin & Gelfand (foundational treatment); building on Besag (1974) for lattice priors | Anselin (textbook formalisation); LeSage & Pace |
| Loại≠ | Bayesian hierarchical regression | Spatial autoregressive regression |
| Công trình gốc≠ | Banerjee, S., Carlin, B. P., & Gelfand, A. E. (2015). Hierarchical Modeling and Analysis for Spatial Data (2nd ed.). CRC Press. ISBN: 978-1439819173 | Anselin, L. (1988). Spatial Econometrics: Methods and Models. Kluwer Academic. DOI ↗ |
| Tên gọi khác | Bayesian hierarchical spatial model, BSR, Bayesian geostatistical regression, Bayesian spatial linear model | SAR model, spatial autoregressive model, spatial lag, Uzamsal Gecikme Modeli (SAR / Spatial Lag) |
| Liên quan≠ | 3 | 5 |
| Tóm tắt≠ | 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. | The Spatial Lag Model is an autoregressive regression that assumes spatial dependence in the dependent variable itself: the outcome values of neighbouring units enter the model as an explanatory term (ρWy). It was formalised in Anselin's Spatial Econometrics (1988) and developed further by LeSage and Pace (2009), and it decomposes spillover effects into direct, indirect, and total impacts. |
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