
- 696 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
About this book
Spatiotemporal Random Fields: Theory and Applications, Second Edition, provides readers with a new and updated edition of the text that explores the application of spatiotemporal random field models to problems in ocean, earth, and atmospheric sciences, spatiotemporal statistics, and geostatistics, among others.
The new edition features considerable detail of spatiotemporal random field theory, including ordinary and generalized models, as well as space-time homostationary, isostationary and hetrogeneous approaches. Presenting new theoretical and applied results, with particular emphasis on space-time determination and interpretation, spatiotemporal analysis and modeling, random field geometry, random functionals, probability law, and covariance construction techniques, this book highlights the key role of space-time metrics, the physical interpretation of stochastic differential equations, higher-order space-time variability functions, the validity of major theoretical assumptions in real-world practice (covariance positive-definiteness, metric-adequacy etc.), and the emergence of interdisciplinary phenomena in conditions of multi-sourced real-world uncertainty.
- Contains applications in the form of examples and case studies, providing readers with first-hand experiences
- Presents an easy to follow narrative which progresses from simple concepts to more challenging ideas
- Includes significant updates from the previous edition, including a focus on new theoretical and applied results
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Yes, you can access Spatiotemporal Random Fields by George Christakos in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Geology & Earth Sciences. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright
- Dedication
- Preface
- Chapter I. Space, Time, SpaceāTime, Randomness, and Probability
- Chapter II. Spatiotemporal Random Fields
- Chapter III. SpaceāTime Metrics
- Chapter IV. SpaceāTime Correlation Theory
- Chapter V. Transformations of Spatiotemporal Random Fields
- Chapter VI. Geometrical Properties of Spatiotemporal Random Fields
- Chapter VII. Auxiliary Hypotheses of Spatiotemporal Variation
- Chapter VIII. Isostationary Scalar Spatiotemporal Random Fields
- Chapter IX. Vector and Multivariate Random Fields
- Chapter X. Special Classes of Spatiotemporal Random Fields
- Chapter XI. Construction of Spatiotemporal ProbabilityĀ Laws
- Chapter XII. Spatiotemporal Random Functionals
- Chapter XIII. Generalized Spatiotemporal Random Fields
- Chapter XIV. Physical Considerations
- Chapter XV. Permissibility in SpaceāTime
- Chapter XVI. Construction of Spatiotemporal Covariance Models
- Exercises
- References
- Appendix. Useful Mathematical Quantities, Functions, and Formulas
- Index