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Interpolation of Spatial Data : Some Theory for Kriging - M. L. Stein

Interpolation of Spatial Data

Some Theory for Kriging

Hardcover

Published: 22nd June 1999
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Kriging, which is the geostatistical term for optimal linear prediction of spatial processes, is widely used in geology, hydrology, environmental monitoring, and other fields to interpolate spatial data. Despite its widespread usage, there is as yet no rigorous theoretical basis for the performance of kriging when some aspect of the dependence structure of the spatial process must be estimated, which is generally the case in practice.
Synthesizing past work of the author with many new results, this monograph proposes using fixed-domain asymptotics, in which one considers an increasing number of observations in a fixed and bounded observation domain, as the best way to study kriging. This approach yields an understanding of the critical relationship between the properties of kriging predictors and the local behavior of the spatial process.

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."

Preface
Linear Predictionp. 1
Properties of Random Fieldsp. 15
Asymptotic Properties of Linear Predictorsp. 57
Equivalence of Gaussian Measures and Predictionp. 109
Integration of Random Fieldsp. 144
Predicting With Estimated Parametersp. 160
Multivariate Normal Distributionsp. 229
B: Symbolsp. 231
Referencesp. 235
Indexp. 243
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387986296
ISBN-10: 0387986294
Series: Springer Series in Statistics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 249
Published: 22nd June 1999
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.77 x 16.51  x 1.91
Weight (kg): 0.49