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| Moran's I Bayes× | Tự tương quan không gian Bayes× | |
|---|---|---|
| Lĩnh vực | Phân tích không gian | Phân tích không gian |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 1950 / 2000s | 1991 |
| Người khởi xướng≠ | Moran (1950), Bayesian extension developed in spatial statistics literature (late 1990s–2000s) | Besag, York & Mollie |
| Loại≠ | Bayesian spatial autocorrelation test | Bayesian hierarchical spatial model |
| Công trình gốc≠ | Haining, R. (2003). Spatial Data Analysis: Theory and Practice. Cambridge University Press. ISBN: 9780521774611 | 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 ↗ |
| Tên gọi khác | Bayesian spatial autocorrelation test, Bayesian Moran statistic, Moran's I under Bayesian inference, Bayesian global spatial association | Bayesian spatial dependence, Bayesian LISA, Bayesian spatial clustering, BSA |
| Liên quan | 6 | 6 |
| 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 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. |
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