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| Tự tương quan không gian Bayes× | Kriging Bayes (Địa thống kê dựa trên mô hình)× | |
|---|---|---|
| Lĩnh vực | Phân tích không gian | Phân tích không gian |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 1991 | 1993–1998 |
| Người khởi xướng≠ | Besag, York & Mollie | Diggle, Tawn & Moyeed; Handcock & Stein |
| Loại≠ | Bayesian hierarchical spatial model | Bayesian spatial interpolation |
| Công trình gốc≠ | 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 ↗ | Diggle, P. J., Tawn, J. A., & Moyeed, R. A. (1998). Model-based geostatistics. Journal of the Royal Statistical Society: Series C (Applied Statistics), 47(3), 299–350. DOI ↗ |
| Tên gọi khác | Bayesian spatial dependence, Bayesian LISA, Bayesian spatial clustering, BSA | Bayesian geostatistics, model-based geostatistics, Bayesian spatial interpolation, stochastic kriging |
| Liên quan≠ | 6 | 5 |
| Tóm tắt≠ | 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 Kriging embeds classical geostatistical interpolation inside a full probabilistic framework. Instead of treating variogram parameters as fixed point estimates, it places prior distributions on them and updates these priors with observed spatial data to obtain a posterior distribution. Predictions at unsampled locations are then marginalised over this uncertainty, yielding honest predictive intervals that account for both spatial dependence and parameter uncertainty. |
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