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| Bayesian Kriging (Mudelit-põhine geostaistika)× | Bayesian Spatial Regression× | |
|---|---|---|
| Valdkond | Ruumianalüüs | Ruumianalüüs |
| Perekond | Regression model | Regression model |
| Tekkeaasta≠ | 1993–1998 | 1990s–2000s |
| Looja≠ | Diggle, Tawn & Moyeed; Handcock & Stein | Banerjee, Carlin & Gelfand (foundational treatment); building on Besag (1974) for lattice priors |
| Tüüp≠ | Bayesian spatial interpolation | Bayesian hierarchical regression |
| Algallikas≠ | 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 ↗ | Banerjee, S., Carlin, B. P., & Gelfand, A. E. (2015). Hierarchical Modeling and Analysis for Spatial Data (2nd ed.). CRC Press. ISBN: 978-1439819173 |
| Rööpnimetused | Bayesian geostatistics, model-based geostatistics, Bayesian spatial interpolation, stochastic kriging | Bayesian hierarchical spatial model, BSR, Bayesian geostatistical regression, Bayesian spatial linear model |
| Seotud≠ | 5 | 3 |
| Kokkuvõte≠ | 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. | 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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