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Spatiotemporal Random Fields, Second Edition: Theory and Applications George Christakos – eBook PDF

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Spatiotemporal Random Fields, Second Edition: Theory and Applications – Ebook PDF

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Spatiotemporal Random Fields, Second Edition: Theory and Applications – Ebook PDF Instant Delivery – ISBN(s): 9780128030127,9780128030325,0128030127,0128030321

Product details:

  • ISBN-13: 978-0128030127
  • Author: George Christakos
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.

Table of contents:

1. Space, Time, Spacetime, Randomness, and Probability

2. Spatiotemporal Random Fields – S/TRFs

3. Space-Time Metrics

4. Space-Time Correlation Theory

5. Transformations of Spatiotemporal Random Fields

6. Geometrical Properties of Spatiotemporal Random Fields

7. Auxiliary Hypotheses of Spatiotemporal Variation

8. Isostationary Scalar Spatiotemporal Random Fields

9. Vector and Multivariate Random Fields

10. Special Classes of Spatiotemporal Random Fields

11. Construction of Spatiotemporal Probability Laws

12. Spatiotemporal Random Functionals

13. Generalized Spatiotemporal Random Fields

14. Physical Considerations

15. Permissibility in Space-Time

16. Construction of Spatiotemporal Covariance Models

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