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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 | |