| Preface to the Second Edition |
|
ix | |
| Preface to the First Edition |
|
xiii | |
| Abbreviations |
|
xv | |
| Introduction |
|
1 | (10) |
|
Types of Problems Considered |
|
|
2 | (6) |
|
Description or Interpretation? |
|
|
8 | (3) |
|
|
|
11 | (17) |
|
|
|
11 | (11) |
|
1.2 On the Objectivity of Probabilistic Statements |
|
|
22 | (2) |
|
|
|
24 | (4) |
|
|
|
28 | (119) |
|
|
|
28 | (5) |
|
2.2 Variogram Cloud and Sample Variogram |
|
|
33 | (26) |
|
2.3 Mathematical Properties of the Variogram |
|
|
59 | (19) |
|
2.4 Regularization and Nugget Effect |
|
|
78 | (6) |
|
|
|
84 | (25) |
|
2.6 Fitting a Variogram Model |
|
|
109 | (13) |
|
2.7 Variography in the Presence of a Drift |
|
|
122 | (8) |
|
2.8 Simple Applications of the Variogram |
|
|
130 | (8) |
|
2.9 Complements: Theory of Variogram Estimation and Fluctuation |
|
|
138 | (9) |
|
|
|
147 | (91) |
|
|
|
147 | (2) |
|
3.2 Notations and Assumptions |
|
|
149 | (1) |
|
3.3 Kriging with a Known Mean |
|
|
150 | (11) |
|
3.4 Kriging with an Unknown Mean |
|
|
161 | (35) |
|
3.5 Estimation of a Spatial Average |
|
|
196 | (8) |
|
3.6 Selection of a Kriging Neighborhood |
|
|
204 | (12) |
|
3.7 Measurement Errors and Outliers |
|
|
216 | (9) |
|
3.8 Case Study: The Channel Tunnel |
|
|
225 | (7) |
|
3.9 Kriging Under Inequality Constraints |
|
|
232 | (6) |
|
4 Intrinsic Model of Order k |
|
|
238 | (61) |
|
|
|
238 | (2) |
|
4.2 A Second Look at the Model of Universal Kriging |
|
|
240 | (5) |
|
4.3 Allowable Linear Combinations of Order k |
|
|
245 | (7) |
|
4.4 Intrinsic Random Functions of Order k |
|
|
252 | (5) |
|
4.5 Generalized Covariance Functions |
|
|
257 | (12) |
|
4.6 Estimation in the IRF Model |
|
|
269 | (12) |
|
4.7 Generalized Variogram |
|
|
281 | (5) |
|
4.8 Automatic Structure Identification |
|
|
286 | (8) |
|
4.9 Stochastic Differential Equations |
|
|
294 | (5) |
|
|
|
299 | (87) |
|
|
|
299 | (1) |
|
5.2 Notations and Assumptions |
|
|
300 | (2) |
|
|
|
302 | (3) |
|
|
|
305 | (15) |
|
5.5 Derivative Information |
|
|
320 | (10) |
|
5.6 Multivariate Random Functions |
|
|
330 | (30) |
|
|
|
360 | (10) |
|
|
|
370 | (16) |
|
|
|
386 | (92) |
|
|
|
386 | (1) |
|
6.2 Global Point Distribution |
|
|
387 | (5) |
|
6.3 Local Point Distribution: Simple Methods |
|
|
392 | (9) |
|
6.4 Local Estimation by Disjunctive Kriging |
|
|
401 | (32) |
|
6.5 Selectivity and Support Effect |
|
|
433 | (12) |
|
6.6 Multi-Gaussian Change-of-Support Model |
|
|
445 | (3) |
|
|
|
448 | (1) |
|
6.8 Discrete Gaussian Model |
|
|
449 | (17) |
|
6.9 Non-Gaussian Isofactorial Change-of-Support Models |
|
|
466 | (3) |
|
6.10 Applications and Discussion |
|
|
469 | (1) |
|
6.11 Change of Support by the Maximum (C. Lantuejoul) |
|
|
470 | (8) |
|
7 Conditional Simulations |
|
|
478 | (151) |
|
7.1 Introduction and Definitions |
|
|
478 | (11) |
|
7.2 Direct Conditional Simulation of a Continuous Variable |
|
|
489 | (6) |
|
7.3 Conditioning by Kriging |
|
|
495 | (7) |
|
|
|
502 | (6) |
|
7.5 Nonconditional Simulation of a Continuous Variable |
|
|
508 | (38) |
|
7.6 Simulation of a Categorical Variable |
|
|
546 | (28) |
|
7.7 Object-Based Simulations: Boolean Models |
|
|
574 | (16) |
|
7.8 Beyond Standard Conditioning |
|
|
590 | (16) |
|
|
|
606 | (9) |
|
|
|
615 | (14) |
| Appendix |
|
629 | (13) |
| References |
|
642 | (47) |
| Index |
|
689 | |