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Fundamentals of Geostatistics in Five Lessons

Fundamentals of Geostatistics in Five Lessons

Andre G. Journel

ISBN: 978-1-118-66760-6 March 2013 American Geophysical Union 40 Pages

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Description

Published by the American Geophysical Union as part of the Short Courses in Geology Series, Volume 8.

From its inception as a separate discipline, geostatistics sought recognition from practitioners, not from mathematicians or physicists, and rightfully so. Indeed, the theory was essentially established by the 1950's by Kolmogorov and Wiener and exposed by Matern (1960), Whittle (1963), and Mat heron (1965), among others. But there is a long, hard way between a concept expressed by matrix notations in a Hilbert space and its implementation and routine application. It is my opinion that the main contribution of geostatistics has been and still is implementation, an essential follow-up step much too often forsaken by theoreticians.

Preface v

Introduction 1

Lesson I: Statistics Review and Notations 2

Lesson II: Linear Regression Theory, or Simple Kriging  10

Lesson III: Linear Regression under Constraints, and Ordinary Kriging  15

Lesson IV: Non-parametric assessment of local uncertainty  21

Lesson V: Stochastic imaging for imaging Spatial Uncertainty  30

Subject Index 39