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Preface to the Second Edition | |
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Preface to the First Edition | |
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Abbreviations | |
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Introduction | |
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Types of Problems Considered | |
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Description or Interpretation? | |
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Preliminaries | |
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Random Functions | |
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On the Objectivity of Probabilistic Statements | |
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Transitive Theory | |
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Structural Analysis | |
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General Principles | |
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Variogram Cloud and Sample Variogram | |
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Mathematical Properties of the Variogram | |
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Regularization and Nugget Effect | |
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Variogram Models | |
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Fitting a Variogram Model | |
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Variography in the Presence of a Drift | |
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Simple Applications of the Variogram | |
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Complements: Theory of Variogram Estimation and Fluctuation | |
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Kriging | |
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Introduction | |
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Notations and Assumptions | |
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Kriging with a Known Mean | |
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Kriging with an Unknown Mean | |
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Estimation of a Spatial Average | |
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Selection of a Kriging Neighborhood | |
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Measurement Errors and Outliers | |
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Case Study: The Channel Tunnel | |
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Kriging Under Inequality Constraints | |
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Intrinsic Model of Order k | |
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Introduction | |
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A Second Look at the Model of Universal Kriging | |
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Allowable Linear Combinations of Order k | |
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Intrinsic Random Functions of Order k | |
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Generalized Covariance Functions | |
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Estimation in the IRF Model | |
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Generalized Variogram | |
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Automatic Structure Identification | |
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Stochastic Differential Equations | |
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Multivariate Methods | |
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Introduction | |
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Notations and Assumptions | |
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Simple Cokriging | |
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Universal Cokriging | |
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Derivative Information | |
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Multivariate Random Functions | |
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Shortcuts | |
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Space-Time Models | |
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Nonlinear Methods | |
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Introduction | |
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Global Point Distribution | |
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Local Point Distribution: Simple Methods | |
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Local Estimation by Disjunctive Kriging | |
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Selectivity and Support Effect | |
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Multi-Gaussian Change-of-Support Model | |
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Affine Correction | |
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Discrete Gaussian Model | |
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Non-Gaussian Isofactorial Change-of-Support Models | |
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Applications and Discussion | |
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Change of Support by the Maximum (C. Lantu�joul) | |
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Conditional Simulations | |
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Introduction and Definitions | |
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Direct Conditional Simulation of a Continuous Variable | |
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Conditioning by Kriging | |
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Turning Bands | |
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Nonconditional Simulation of a Continuous Variable | |
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Simulation of a Categorical Variable | |
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Object-Based Simulations: Boolean Models | |
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Beyond Standard Conditioning | |
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Additional Topics | |
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Case Studies | |
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Appendix | |
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References | |
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Index | |