Autore	Christakos George
Edizione	[1st ed.]
Pubbl/distr/stampa	Newburyport, : Dover Publications, 2012
Descrizione fisica	1 online resource (864 p.)
Disciplina	550/.1/5118
Collana	Dover Earth Science
Soggetto topico	Earth sciences - Mathematical models Random fields - Mathematical models Stochastic processes - Mathematical models Geology Earth & Environmental Sciences Geology - General
ISBN	0-486-16091-2 1-62198-600-4
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Title Page; Copyright Page; Dedication; Table of Contents; Foreword; Preface; 1 - Prolegomena; 1. The Science of the Probable and the Random Field Model; 2. The Physical Significance of the Random Field Model; 3. The Mathematics of Random Fields; 4. The Philosophical Theses of the Stochastic Research Program; 5. The Practice of the Stochastic Research Program and the Spectrum of Its Applications; 2 - The Spatial Random Field Model; 1. Introduction; 2. Basic Notions; 3. Characterization of Spatial Random Fields by Means of Their Second-Order Statistical Moments-Correlation Theory 4. Certain Geometrical Properties of Spatial Random Fields5. Spectral Characteristics of Spatial Random Fields; 6. Auxiliary Hypotheses; 7. Homogeneous Spatial Random Fields; 8. Isotropic Spatial Random Fields; 9. Scales of Spatial Correlation; 10. Relationships between the Spatial and the Frequency Domains-The Uncertainty Principle; 11. Spatial Random Fields with Homogeneous Increments; 12. On the Ergodicity Hypotheses of Spatial Random Fields; 13. Information and Entropy of Spatial Random Fields; 3 - The Intrinsic Spatial Random Field Model; 1. Introduction 2. Generalized Spatial Random Fields3. Spatial Random Fields with Space Homogeneous Increments or Intrinsic Spatial Random Fields; 4. Discrete Linear Representations of Spatial Random Fields; 5. Stochastic Differential and Difference Equations; 4 - The Factorable Random Field Model; 1. Introduction; 2. The Theory of Factorable Random Fields; 3. Nonlinear Transformations of Factorable Random Fields; 4. Construction of Factorable Random Fields; 5. The Nonlinear State-Nonlinear Observation System; 5 - The Spatiotemporal Random Field Model; 1. Introduction 2. Spatiotemporal Natural Processes-A Review3. Ordinary Spatiotemporal Random Fields; 4. Generalized Spatiotemporal Random Fields; 5. Spatiotemporal Random Fields of Order ν/μ, (Ordinary and Generalized); 6. Stochastic Partial Differential Equations; 7. Discrete Linear Representations of Spatiotemporal Random Fields; 6 - Space Transformations of Random Fields; 1. Introduction; 2. Space Transformations; 3. Space Transformation Representations of Spatial Random Fields; 4. Stochastic Differential Equation Models; 5. Criteria of Permissibility; 7 - Random Field Modeling of Natural Processes 1. Introduction2. Descriptive Features of Natural Processes and the Basic Working Hypotheses; 3. Duality Relations between the Natural Process and the Spatial Random Field Model-Examples from the Geosciences; 4. Certain Practical Aspects of Spatial and Temporal Variability Characterization; 5. Qualitative (Soft) Information; 6. Some Final Comments about the Stochastic Research Program; 8 - Simulation of Natural Processes; 1. Introduction; 2. The Physical Significance of Simulation; 3. Simulation of Random Fields; 4. Simulation of Spatial Random Field by Space Transformations-Examples 5. Techniques of One-Dimensional Simulation
Record Nr.	UNINA-9911006600803321

Pubbl/distr/stampa	[Place of publication not identified], : American Geophysical Union, 1993
Disciplina	550/.1/5118
Collana	IUGG Relating geophysical structures and processes
Soggetto topico	Earth sciences - Mathematical models Geophysics - Mathematical models Geology Earth & Environmental Sciences Geology - General
ISBN	1-118-66912-6
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNINA-9910130937403321