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Interpolation of Spatial Data: Some Mathemeatics for Kriging

By: M L Stein


Hardback | Dec 1999 | #115589 | ISBN: 0387986294
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NHBS Price: £99.00 $121/€111 approx

About this book

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.

From a review: GEODERMA "the book is written with great care and dedication. Soil geostatisticians that are not easily scared off by mathematics will find this book to be a rich source of inspiration for many years to come."


Introduction.- Properties of Random Fields.- Asymptotic Properties of Linear Predictors.- Equivalence of Gaussian Measures and Linear Prediction.- Integration of Random Fields.- Estimating Parameters of Autocovariance Functions.- Discussion.

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