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| Moran's I Bayes× | Hồi quy Không gian Bayes× | |
|---|---|---|
| Lĩnh vực | Phân tích không gian | Phân tích không gian |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 1950 / 2000s | 1990s–2000s |
| Người khởi xướng≠ | Moran (1950), Bayesian extension developed in spatial statistics literature (late 1990s–2000s) | Banerjee, Carlin & Gelfand (foundational treatment); building on Besag (1974) for lattice priors |
| Loại≠ | Bayesian spatial autocorrelation test | Bayesian hierarchical regression |
| Công trình gốc≠ | Haining, R. (2003). Spatial Data Analysis: Theory and Practice. Cambridge University Press. ISBN: 9780521774611 | Banerjee, S., Carlin, B. P., & Gelfand, A. E. (2015). Hierarchical Modeling and Analysis for Spatial Data (2nd ed.). CRC Press. ISBN: 978-1439819173 |
| Tên gọi khác | Bayesian spatial autocorrelation test, Bayesian Moran statistic, Moran's I under Bayesian inference, Bayesian global spatial association | Bayesian hierarchical spatial model, BSR, Bayesian geostatistical regression, Bayesian spatial linear model |
| Liên quan≠ | 6 | 3 |
| Tóm tắt≠ | Bayesian Moran's I embeds the classical Moran's I spatial autocorrelation test within a Bayesian probabilistic framework. Rather than producing a single p-value, it yields a posterior distribution over the spatial autocorrelation parameter, enabling uncertainty quantification, incorporation of prior knowledge, and more principled inference in small or irregular spatial datasets. | 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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