Spatiotemporal Random Fields, Second Edition: Theory and Applications 1st edition George Christakos – Ebook Instant Download/Delivery ISBN(s): 9780128030127,9780128030325,0128030127,0128030321
Product details:
- ISBN 10:0128030321
- ISBN 13:9780128030325
- Author: George Christakos
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.
Table contents:
Chapter I. Space, Time, Space–Time, Randomness, and Probability
Chapter II. Spatiotemporal Random Fields
Chapter III. Space–Time Metrics
Chapter IV. Space–Time 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 Probability Laws
Chapter XII. Spatiotemporal Random Functionals
Chapter XIII. Generalized Spatiotemporal Random Fields
Chapter XIV. Physical Considerations
Chapter XV. Permissibility in Space–Time
Chapter XVI. Construction of Spatiotemporal Covariance Models
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