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Multivariate Geostatistics

An Introduction with Applications

  • Textbook
  • © 1998

Overview

Authors:
  1. Hans Wackernagel

    1. Centre de Géostatistique, Ecole des Mines de Paris, Fontainebleau, France

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  • Detailed treatment of multivariate geostatistics Introduction to linear geostatistics Introduction to non-stationary geostatistics

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Table of contents (32 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Introduction

    1. Introduction

      • Hans Wackernagel
      Pages 1-4

  3. From Statistics to Geostatistics

    1. Front Matter

      Pages 5-5
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    2. Mean, Variance, Covariance

      • Hans Wackernagel
      Pages 7-12

    3. Linear Regression and Simple Kriging

      • Hans Wackernagel
      Pages 13-24

    4. Kriging the Mean

      • Hans Wackernagel
      Pages 25-31

  4. Geostatistics

    1. Front Matter

      Pages 33-35
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    2. Regionalized Variable and Random Function

      • Hans Wackernagel
      Pages 37-42

    3. Variogram Cloud

      • Hans Wackernagel
      Pages 43-47

    4. Variogram and Covariance Function

      • Hans Wackernagel
      Pages 48-54

    5. Examples of Covariance Functions

      • Hans Wackernagel
      Pages 55-59

    6. Anisotropy

      • Hans Wackernagel
      Pages 60-63

    7. Extension and Dispersion Variance

      • Hans Wackernagel
      Pages 64-75

    8. Measures and Plots of Dispersion

      • Hans Wackernagel
      Pages 76-82

    9. Ordinary Kriging

      • Hans Wackernagel
      Pages 83-92

    10. Kriging Weights

      • Hans Wackernagel
      Pages 93-99

    11. Mapping with Kriging

      • Hans Wackernagel
      Pages 100-104

    12. Linear Model of Regionalization

      • Hans Wackernagel
      Pages 105-110

    13. Kriging Spatial Components

      • Hans Wackernagel
      Pages 111-116

    14. The Smoothness of Kriging

      • Hans Wackernagel
      Pages 117-123
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Keywords

About this book

This book presents an introduction to geostatistics stressing the multivariate aspects for scientists, engineers or statisticians. Geostatistics offers a variety of models, methods and techniques for the analysis, estimation and display of multivariate data distributed in space or time. This book presents a brief review of statistical concepts, a detailed introduction to linear geostatistics, and an account of 3 basic methods of multivariate analysis. Applications from very different areas of science, as well as exercises with solutions, are provided to help convey the general ideas. In the second edition, the introductory chapter has been divided into two separate chapters for clarity. Furthermore, the chapters regarding normal kriging and cokriging have been restructured and the section on non-stationary geostatistics has been entirely rewritten.

Authors and Affiliations

  • Centre de Géostatistique, Ecole des Mines de Paris, Fontainebleau, France

    Hans Wackernagel

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