Statistics for spatio-temporal data. (2015)
- Record Type:
- Book
- Title:
- Statistics for spatio-temporal data. (2015)
- Main Title:
- Statistics for spatio-temporal data
- Further Information:
- Note: Noel Cressie and Christopher K. Wikle.
- Authors:
- Cressie, Noel A. C
Wikle, Christopher K, 1963- - Contents:
- Preface xv Acknowledgments xix 1 Space–Time: The Next Frontier 1 2 Statistical Preliminaries 17 2.1 Conditional Probabilities and Hierarchical Modeling (HM), 20 2.2 Inference and Diagnostics, 33 2.3 Computation of the Posterior Distribution, 42 2.4 Graphical Representations of Statistical Dependencies, 48 2.5 Data/Model/Computing Compromises, 53 3 Fundamentals of Temporal Processes 55 3.1 Characterization of Temporal Processes, 56 3.2 Introduction to Deterministic Dynamical Systems, 59 3.3 Time Series Preliminaries, 80 3.4 Basic Time Series Models, 84 3.5 Spectral Representation of Temporal Processes, 100 3.6 Hierarchical Modeling of Time Series, 112 3.7 Bibliographic Notes, 116 4 Fundamentals of Spatial Random Processes 119 4.1 Geostatistical Processes, 124 4.2 Lattice Processes, 167 4.3 Spatial Point Processes, 204 4.4 Random Sets, 224 4.5 Bibliographic Notes, 231 5 Exploratory Methods for Spatio-Temporal Data 243 5.1 Visualization, 244 5.2 Spectral Analysis, 259 5.3 Empirical Orthogonal Function (EOF) Analysis, 266 5.4 Extensions of EOF Analysis, 271 5.5 Principal Oscillation Patterns (POPs), 279 5.6 Spatio-Temporal Canonical Correlation Analysis (CCA), 284 5.7 Spatio-Temporal Field Comparisons, 291 5.8 Bibliographic Notes, 292 6 Spatio-Temporal Statistical Models 297 6.1 Spatio-Temporal Covariance Functions, 304 6.2 Spatio-Temporal Kriging, 321 6.3 Stochastic Differential and Difference Equations, 327 6.4 Time Series of Spatial Processes, 336 6.5 Spatio-Temporal PointPreface xv Acknowledgments xix 1 Space–Time: The Next Frontier 1 2 Statistical Preliminaries 17 2.1 Conditional Probabilities and Hierarchical Modeling (HM), 20 2.2 Inference and Diagnostics, 33 2.3 Computation of the Posterior Distribution, 42 2.4 Graphical Representations of Statistical Dependencies, 48 2.5 Data/Model/Computing Compromises, 53 3 Fundamentals of Temporal Processes 55 3.1 Characterization of Temporal Processes, 56 3.2 Introduction to Deterministic Dynamical Systems, 59 3.3 Time Series Preliminaries, 80 3.4 Basic Time Series Models, 84 3.5 Spectral Representation of Temporal Processes, 100 3.6 Hierarchical Modeling of Time Series, 112 3.7 Bibliographic Notes, 116 4 Fundamentals of Spatial Random Processes 119 4.1 Geostatistical Processes, 124 4.2 Lattice Processes, 167 4.3 Spatial Point Processes, 204 4.4 Random Sets, 224 4.5 Bibliographic Notes, 231 5 Exploratory Methods for Spatio-Temporal Data 243 5.1 Visualization, 244 5.2 Spectral Analysis, 259 5.3 Empirical Orthogonal Function (EOF) Analysis, 266 5.4 Extensions of EOF Analysis, 271 5.5 Principal Oscillation Patterns (POPs), 279 5.6 Spatio-Temporal Canonical Correlation Analysis (CCA), 284 5.7 Spatio-Temporal Field Comparisons, 291 5.8 Bibliographic Notes, 292 6 Spatio-Temporal Statistical Models 297 6.1 Spatio-Temporal Covariance Functions, 304 6.2 Spatio-Temporal Kriging, 321 6.3 Stochastic Differential and Difference Equations, 327 6.4 Time Series of Spatial Processes, 336 6.5 Spatio-Temporal Point Processes, 347 6.6 Spatio-Temporal Components-of-Variation Models, 351 6.7 Bibliographic Notes, 356 7 Hierarchical Dynamical Spatio-Temporal Models 361 7.1 Data Models for the DSTM, 363 7.2 Process Models for the DSTM: Linear Models, 382 7.3 Process Models for the DSTM: Nonlinear Models, 403 7.4 Process Models for the DSTM: Multivariate Models, 418 7.5 DSTM Parameter Models, 425 7.6 Dynamical Design of Monitoring Networks, 430 7.7 Switching the Emphasis of Time and Space, 432 7.8 Bibliographic Notes, 433 8 Hierarchical DSTMs: Implementation and Inference 441 8.1 DSTM Process: General Implementation and Inference, 441 8.2 Inference for the DSTM Process: Linear/Gaussian Models, 444 8.3 Inference for the DSTM Parameters: Linear/Gaussian Models, 450 8.4 Inference for the Hierarchical DSTM: Nonlinear/Non-Gaussian Models, 460 8.5 Bibliographic Notes, 472 9 Hierarchical DSTMs: Examples 475 9.1 Long-Lead Forecasting of Tropical Pacific Sea Surface Temperatures, 476 9.2 Remotely Sensed Aerosol Optical Depth, 488 9.3 Modeling and Forecasting the Eurasian Collared Dove Invasion, 499 9.4 Mediterranean Surface Vector Winds, 507 Epilogue 519 References 523 Index 571 … (more)
- Edition:
- 1st
- Publisher Details:
- Hoboken, New Jersey : John Wiley & Sons, Inc
- Publication Date:
- 2015
- Extent:
- 1 online resource
- Subjects:
- 519.5
Spatial analysis (Statistics)
Stochastic processes
Time-series analysis - Languages:
- English
- ISBNs:
- 9781119243069
- Related ISBNs:
- 9781119243045
- Notes:
- Note: Description based on CIP data; resource not viewed.
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- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.54131
- Ingest File:
- 02_066.xml