Geostatistics / Wiley Series in Probability and Statistics (ePub)
Modeling Spatial Uncertainty
(Sprache: Englisch)
Praise for the First Edition
". . . a readable, comprehensive volume that . . . belongs on
the desk, close at hand, of any serious researcher or
practitioner." --Mathematical Geosciences
The state of the art in geostatistics
Geostatistical models...
". . . a readable, comprehensive volume that . . . belongs on
the desk, close at hand, of any serious researcher or
practitioner." --Mathematical Geosciences
The state of the art in geostatistics
Geostatistical models...
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Produktinformationen zu „Geostatistics / Wiley Series in Probability and Statistics (ePub)“
Praise for the First Edition
". . . a readable, comprehensive volume that . . . belongs on
the desk, close at hand, of any serious researcher or
practitioner." --Mathematical Geosciences
The state of the art in geostatistics
Geostatistical models and techniques such as kriging and
stochastic multi-realizations exploit spatial correlations to
evaluate natural resources, help optimize their development, and
address environmental issues related to air and water quality, soil
pollution, and forestry. Geostatistics: Modeling Spatial
Uncertainty, Second Edition presents a comprehensive, up-to-date
reference on the topic, now featuring the latest developments in
the field.
The authors explain both the theory and applications of
geostatistics through a unified treatment that emphasizes
methodology. Key topics that are the foundation of geostatistics
are explored in-depth, including stationary and nonstationary
models; linear and nonlinear methods; change of support;
multivariate approaches; and conditional simulations. The Second
Edition highlights the growing number of applications of
geostatistical methods and discusses three key areas of growth in
the field:
* New results and methods, including kriging very large datasets;
kriging with outliers; nonse??parable space-time covariances;
multipoint simulations; pluri-gaussian simulations; gradual
deformation; and extreme value geostatistics
* Newly formed connections between geostatistics and other
approaches such as radial basis functions, Gaussian Markov random
fields, and data assimilation
* New perspectives on topics such as collocated cokriging, kriging
with an external drift, discrete Gaussian change-of-support models,
and simulation algorithms
Geostatistics, Second Edition is an excellent book for courses
on the topic at the graduate level. It also serves as an invaluable
reference for earth scientists, mining and petroleum engineers,
geophysicists, and environmental statisticians who collect and
analyze data in their everyday work.
". . . a readable, comprehensive volume that . . . belongs on
the desk, close at hand, of any serious researcher or
practitioner." --Mathematical Geosciences
The state of the art in geostatistics
Geostatistical models and techniques such as kriging and
stochastic multi-realizations exploit spatial correlations to
evaluate natural resources, help optimize their development, and
address environmental issues related to air and water quality, soil
pollution, and forestry. Geostatistics: Modeling Spatial
Uncertainty, Second Edition presents a comprehensive, up-to-date
reference on the topic, now featuring the latest developments in
the field.
The authors explain both the theory and applications of
geostatistics through a unified treatment that emphasizes
methodology. Key topics that are the foundation of geostatistics
are explored in-depth, including stationary and nonstationary
models; linear and nonlinear methods; change of support;
multivariate approaches; and conditional simulations. The Second
Edition highlights the growing number of applications of
geostatistical methods and discusses three key areas of growth in
the field:
* New results and methods, including kriging very large datasets;
kriging with outliers; nonse??parable space-time covariances;
multipoint simulations; pluri-gaussian simulations; gradual
deformation; and extreme value geostatistics
* Newly formed connections between geostatistics and other
approaches such as radial basis functions, Gaussian Markov random
fields, and data assimilation
* New perspectives on topics such as collocated cokriging, kriging
with an external drift, discrete Gaussian change-of-support models,
and simulation algorithms
Geostatistics, Second Edition is an excellent book for courses
on the topic at the graduate level. It also serves as an invaluable
reference for earth scientists, mining and petroleum engineers,
geophysicists, and environmental statisticians who collect and
analyze data in their everyday work.
Inhaltsverzeichnis zu „Geostatistics / Wiley Series in Probability and Statistics (ePub)“
Preface to the Second Edition ix Preface to the First Edition xiii Abbreviations xv Introduction 1 Types of Problems Considered, 2 Description or Interpretation?, 8 1. Preliminaries 11 1.1 Random Functions, 11 1.2 On the Objectivity of Probabilistic Statements, 22 1.3 Transitive Theory, 24 2. Structural Analysis 28 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 147 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 238 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 Model, 269 4.7 Generalized Variogram, 281 4.8 Automatic Structure Identification, 286 4.9 Stochastic Differential Equations, 294 5. Multivariate Methods 299 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 SpaceTime Models, 370 6. Nonlinear Methods 386 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
... mehr
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. Lantue joul), 470 7. Conditional Simulations 478 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 7.5 Nonconditional Simulation of a Continuous Variable, 508 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 629 References 642 Index 689
... weniger
Autoren-Porträt von Jean-Paul Chilès, Pierre Delfiner
Jean-Paul Chilès is Deputy Director of the Center ofGeosciences and Geoengi??neering at MINES ParisTech, France.
Pierre Delfiner is Principal of PetroDecisions, a consulting
firm based in Paris, France.
Bibliographische Angaben
- Autoren: Jean-Paul Chilès , Pierre Delfiner
- 2012, 2. Auflage, 736 Seiten, Englisch
- Verlag: John Wiley & Sons
- ISBN-10: 1118136179
- ISBN-13: 9781118136171
- Erscheinungsdatum: 08.02.2012
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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