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Geostatistics : modeling spatial uncertainty / Jean-Paul Chiles, Pierre Delfiner.

By: Contributor(s): Series: Wiley series in probability and statisticsHoboken, N.J. : Wiley, 2012Edition: 2nd edDescription: xv, 699 pages : illustrations (some color) ; 25 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9780470183151
  • 0470183152
Subject(s): LOC classification:
  • QE33.2 .S82 .C45 2012
Online resources:
Contents:
Preface to the Second Edition -- Preface to the First Edition -- Abbreviations -- Introduction -- Types of Problems Considered, 2 -- Description or Interpretation?, 8 -- 1. Preliminaries -- 1.1 Random Functions, 11 -- 1.2 On the Objectivity of Probabilistic Statements, 22 -- 1.3 Transitive Theory, 24 -- 2. Structural Analysis -- 2.1 General Principles, 28 -- 2.2 Variogram Cloud and Sample Variogram, 33 -- 2.3 Mathematical Properties of the Variogram, 59 -- 2.4 Regularization and Nugget Effect, 78 -- 2.5 Variogram Models, 84 -- 2.6 Fitting a Variogram Model, 109 -- 2.7 Variography in the Presence of a Drift, 122 -- 2.8 Simple Applications of the Variogram, 130 -- 2.9 Complements: Theory of Variogram Estimation and Fluctuation, 138 -- 3. Kriging -- 3.1 Introduction, 147 -- 3.2 Notations and Assumptions, 149 -- 3.3 Kriging with a Known Mean, 150 -- 3.4 Kriging with an Unknown Mean, 161 -- 3.5 Estimation of a Spatial Average, 196 -- 3.6 Selection of a Kriging Neighborhood, 204 -- 3.7 Measurement Errors and Outliers, 216 -- 3.8 Case Study: The Channel Tunnel, 225 -- 3.9 Kriging Under Inequality Constraints, 232 -- 4. Intrinsic Model of Order k -- 4.1 Introduction, 238 -- 4.2 A Second Look at the Model of Universal Kriging, 240 -- 4.3 Allowable Linear Combinations of Order k, 245 -- 4.4 Intrinsic Random Functions of Order k, 252 -- 4.5 Generalized Covariance Functions, 257 -- 4.6 Estimation in the IRF Mode, 269 -- 4.7 Generalized Variogram, 281 -- 4.8 Automatic Structure Identification, 286 -- 4.9 Stochastic Differential Equations, 294 -- 5. Multivariate Methods -- 5.1 Introduction, 299 -- 5.2 Notations and Assumptions, 300 -- 5.3 Simple Cokriging, 302 -- 5.4 Universal Cokriging, 305 -- 5.5 Derivative Information, 320 -- 5.6 Multivariate Random Functions, 330 -- 5.7 Shortcuts, 360 -- 5.8 Space-Time Models, 370 -- 6. Nonlinear Methods -- 6.1 Introduction, 386 -- 6.2 Global Point Distribution, 387 -- 6.3 Local Point Distribution: Simple Methods, 392 -- 6.4 Local Estimation by Disjunctive Kriging, 401 -- 6.5 Selectivity and Support Effect, 433 -- 6.6 Multi-Gaussian Change-of-Support Model, 445 -- 6.7 Affine Correction, 448 -- 6.8 Discrete Gaussian Model, 449 -- 6.9 Non-Gaussian Isofactorial Change-of-Support Models, 466 -- 6.10 Applications and Discussion, 469 -- 6.11 Change of Support by the Maximum (C. Lantu�ejoul), 470 -- 7. Conditional Simulations -- 7.1 Introduction and Definitions, 478 -- 7.2 Direct Conditional Simulation of a Continuous Variable, 489 -- 7.3 Conditioning by Kriging, 495 -- 7.4 Turning Bands, 502 -- 7.6 Simulation of a Categorical Variable, 546 -- 7.7 Object-Based Simulations: Boolean Models, 574 -- 7.8 Beyond Standard Conditioning, 590 -- 7.9 Additional Topics, 606 -- 7.10 Case Studies, 615 -- Appendix -- References -- Index.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
BOOK BOOK NCAR Library Foothills Lab QE33.2 .S82 .C45 2012 1 Available 50583020002923
Total holds: 0

Includes bibliographical references (pages 642-688) and index.

Preface to the Second Edition -- Preface to the First Edition -- Abbreviations -- Introduction -- Types of Problems Considered, 2 -- Description or Interpretation?, 8 -- 1. Preliminaries -- 1.1 Random Functions, 11 -- 1.2 On the Objectivity of Probabilistic Statements, 22 -- 1.3 Transitive Theory, 24 -- 2. Structural Analysis -- 2.1 General Principles, 28 -- 2.2 Variogram Cloud and Sample Variogram, 33 -- 2.3 Mathematical Properties of the Variogram, 59 -- 2.4 Regularization and Nugget Effect, 78 -- 2.5 Variogram Models, 84 -- 2.6 Fitting a Variogram Model, 109 -- 2.7 Variography in the Presence of a Drift, 122 -- 2.8 Simple Applications of the Variogram, 130 -- 2.9 Complements: Theory of Variogram Estimation and Fluctuation, 138 -- 3. Kriging -- 3.1 Introduction, 147 -- 3.2 Notations and Assumptions, 149 -- 3.3 Kriging with a Known Mean, 150 -- 3.4 Kriging with an Unknown Mean, 161 -- 3.5 Estimation of a Spatial Average, 196 -- 3.6 Selection of a Kriging Neighborhood, 204 -- 3.7 Measurement Errors and Outliers, 216 -- 3.8 Case Study: The Channel Tunnel, 225 -- 3.9 Kriging Under Inequality Constraints, 232 -- 4. Intrinsic Model of Order k -- 4.1 Introduction, 238 -- 4.2 A Second Look at the Model of Universal Kriging, 240 -- 4.3 Allowable Linear Combinations of Order k, 245 -- 4.4 Intrinsic Random Functions of Order k, 252 -- 4.5 Generalized Covariance Functions, 257 -- 4.6 Estimation in the IRF Mode, 269 -- 4.7 Generalized Variogram, 281 -- 4.8 Automatic Structure Identification, 286 -- 4.9 Stochastic Differential Equations, 294 -- 5. Multivariate Methods -- 5.1 Introduction, 299 -- 5.2 Notations and Assumptions, 300 -- 5.3 Simple Cokriging, 302 -- 5.4 Universal Cokriging, 305 -- 5.5 Derivative Information, 320 -- 5.6 Multivariate Random Functions, 330 -- 5.7 Shortcuts, 360 -- 5.8 Space-Time Models, 370 -- 6. Nonlinear Methods -- 6.1 Introduction, 386 -- 6.2 Global Point Distribution, 387 -- 6.3 Local Point Distribution: Simple Methods, 392 -- 6.4 Local Estimation by Disjunctive Kriging, 401 -- 6.5 Selectivity and Support Effect, 433 -- 6.6 Multi-Gaussian Change-of-Support Model, 445 -- 6.7 Affine Correction, 448 -- 6.8 Discrete Gaussian Model, 449 -- 6.9 Non-Gaussian Isofactorial Change-of-Support Models, 466 -- 6.10 Applications and Discussion, 469 -- 6.11 Change of Support by the Maximum (C. Lantu�ejoul), 470 -- 7. Conditional Simulations -- 7.1 Introduction and Definitions, 478 -- 7.2 Direct Conditional Simulation of a Continuous Variable, 489 -- 7.3 Conditioning by Kriging, 495 -- 7.4 Turning Bands, 502 -- 7.6 Simulation of a Categorical Variable, 546 -- 7.7 Object-Based Simulations: Boolean Models, 574 -- 7.8 Beyond Standard Conditioning, 590 -- 7.9 Additional Topics, 606 -- 7.10 Case Studies, 615 -- Appendix -- References -- Index.

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