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Prediction of a random field based on observations of the random field at some set of locations arises in mining, hydrology, atmospheric sciences, and geography. Kriging, a prediction scheme defined as any prediction scheme that minimizes mean squared prediction error among some class of predictors under a particular model for the field, is commonly used in all these areas of prediction. This book summarizes past work and describes new approaches to thinking about kriging.

Stochastic processes --- Kriging. --- Geografie --- Topografie --- Geometric Modelling. --- Probabilities. --- Statistics . --- Geology. --- Geography. --- Earth sciences. --- Probability Theory and Stochastic Processes. --- Statistical Theory and Methods. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Geography, general. --- Earth Sciences, general. --- Geosciences --- Environmental sciences --- Physical sciences --- Cosmography --- Earth sciences --- World history --- Geognosy --- Geoscience --- Natural history --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk