Springer Statistics

Some Theory for Kriging

By: Michael L. Stein

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Hardcover | 22 June 1999

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276 Pages

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24.77 x 16.51 x 1.91

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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.

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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."

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Published: 17th October 2012

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Preface
Linear Prediction	p. 1
Properties of Random Fields	p. 15
Asymptotic Properties of Linear Predictors	p. 57
Equivalence of Gaussian Measures and Prediction	p. 109
Integration of Random Fields	p. 144
Predicting With Estimated Parameters	p. 160
Multivariate Normal Distributions	p. 229
B: Symbols	p. 231
References	p. 235
Index	p. 243
Table of Contents provided by Blackwell. All Rights Reserved.

Springer Statistics

Some Theory for Kriging

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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