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| ベイズ汎用クリギング× | Ordinary Kriging× | |
|---|---|---|
| 分野 | 空間分析 | 空間分析 |
| 系統 | Regression model | Regression model |
| 提唱年≠ | 1990s–2000s | 1963 |
| 提唱者≠ | Diggle, Tawn & Moyeed; Kitanidis; Handcock & Stein | Georges Matheron (formalising D.G. Krige's empirical work) |
| 種類≠ | Bayesian geostatistical interpolation with trend | Geostatistical interpolation |
| 原典≠ | Diggle, P. J., & Ribeiro, P. J. (2007). Model-Based Geostatistics. Springer. ISBN: 978-0387329079 | Matheron, G. (1963). Principles of geostatistics. Economic Geology, 58(8), 1246-1266. DOI ↗ |
| 別名 | BUK, Bayesian kriging with trend, Bayesian spatial interpolation with covariates, stochastic universal kriging | OK, kriging interpolation, geostatistical interpolation, BLUE spatial predictor |
| 関連≠ | 6 | 4 |
| 概要≠ | Bayesian Universal Kriging (BUK) extends classical universal kriging by placing prior distributions on trend coefficients and spatial covariance parameters, then propagating full posterior uncertainty into predictions. It interpolates spatially referenced continuous data while simultaneously estimating large-scale deterministic trends driven by covariates and small-scale stochastic spatial dependence, yielding prediction intervals that honestly account for both parameter and interpolation uncertainty. | Ordinary Kriging (OK) is the standard geostatistical method for interpolating a continuous spatial variable at unsampled locations. It derives optimal, unbiased weights from the spatial covariance structure of the data, making it the Best Linear Unbiased Predictor (BLUP) under stationarity assumptions. Unlike simpler distance-based methods, it also provides a prediction uncertainty (kriging variance) at every interpolated point. |
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