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ベイジアン・クリーギング(モデルベース地球統計学)×Ordinary Kriging×
分野空間分析空間分析
系統Regression modelRegression model
提唱年1993–19981963
提唱者Diggle, Tawn & Moyeed; Handcock & SteinGeorges Matheron (formalising D.G. Krige's empirical work)
種類Bayesian spatial interpolationGeostatistical interpolation
原典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 ↗Matheron, G. (1963). Principles of geostatistics. Economic Geology, 58(8), 1246-1266. DOI ↗
別名Bayesian geostatistics, model-based geostatistics, Bayesian spatial interpolation, stochastic krigingOK, kriging interpolation, geostatistical interpolation, BLUE spatial predictor
関連54
概要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.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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ScholarGate手法を比較: Bayesian Kriging · Ordinary Kriging. 2026-06-17に以下より取得 https://scholargate.app/ja/compare