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Modern Spatiotemporal Geostatistics
| Modern Spatiotemporal Geostatistics |
| Autore | Christakos George |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Newburyport, : Dover Publications, 2013 |
| Descrizione fisica | 1 online resource (593 p.) |
| Disciplina | 550.72/7 |
| Collana | Dover Earth Science |
| Soggetto topico |
Earth sciences - Statistical methods
Maximum entropy method Bayesian statistical decision theory Geology Earth & Environmental Sciences Geology - General |
| ISBN |
9781523132010
1523132019 9780486310930 0486310930 9781680150940 1680150944 |
| Classificazione | SCI031000 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Dedication; Preface; Contents; Mapping Fundamentals; The Epistemic Status of Modern Spatiotemporal Geostatistics: It Pays to Theorize!; Why Modern Geostatistics?; Indetermination thesis; Spatiotemporal geometry; Sources of physical knowledge; The non-Procrustean spirit; Bayesian Maximum Entropy Space/Time Analysis and Mapping; BME features; The Integration Capability of Modern Spatiotemporal Geostatistics; The "Knowledge-Map" Approach; Scientific content; 1. Spatiotemporal Mapping in Natural Sciences; A More Realistic Concept
The Spatiotemporal Continuum IdeaThe Coordinate System; Euclidean coordinate systems; Non-Euclidean coordinate systems; Metrical Structure; Separate metrical structures; Composite metrical structures; Some comments on physical spatiotemporal geometry; The Field Idea; Restrictions on spatiotemporal geometry imposed by field measurements and natural media; Restrictions on spatiotemporal geometry imposed by physical laws; The Complementarity Idea; Putting Things Together: The Spatiotemporal Random Field Concept; Correlation analysis and spatiotemporal geometry Permissibility criteria and spatiotemporal geometryEffect of spatiotemporal geometry on mapping; Some Final Thoughts; 2. Spatiotemporal Geometry; From the General to the Specific; The General Knowledge Base; A mathematical formulation of the general knowledge base; General knowledge in terms of statistical moments; General knowledge in terms of physical laws; Some other forms of general knowledge; The Specificatory Knowledge Base; Specificatory knowledge in terms of hard data; Specificatory knowledge in terms of soft data; Summa Theologica; 3. Physical Knowledge Acquisition and Processing of Physical KnowledgeEpistemic Geostatistics and the BME Analysis; Prior stage; Meta-prior stage; Integration or posterior stage; Conditional Probability of a Spatiotemporal Map and its Relation to the Probability of Conditionals; Material and strict map conditionals; Other map conditionals; The BME Net; 4. The Epistemic Paradigm; A Pragmatic Framework of the Mapping Problem; The Prior Stage; Map information measures in light of general knowledge; General knowledge-based map pdf General knowledge in the form of random field statistics (including multiple-point statistics)General knowledge in the form of physical laws; Possible modifications and generalizations of the prior stage; The Meta-Prior Stage; The Integration or Posterior Stage; The Structure of the Modern Spatiotemporal Geostatistics Paradigm; The Two Legs on Which the BME Equations Stand; 5. Mathematical Formulation of the BME Method; Specificatory Knowledge and Single-Point Mapping; Posterior Operators for Interval and Probabilistic Soft Data; Posterior Operators for Other Forms of Soft Data; Discussion 6. Analytical Expressions of the Posterior Operator |
| Record Nr. | UNINA-9911006601103321 |
Christakos George
|
||
| Newburyport, : Dover Publications, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Modern spatiotemporal geostatistics [[electronic resource] /] / George Christakos
| Modern spatiotemporal geostatistics [[electronic resource] /] / George Christakos |
| Autore | Christakos George |
| Pubbl/distr/stampa | Oxford [England] ; ; New York, : Oxford University Press, 2000 |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina |
550.15195
550/.7/27 |
| Collana | International Association for Mathematical Geology studies in mathematical geology |
| Soggetto topico |
Bayesian statistical decision theory
Earth sciences - Statistical methods Maximum entropy method |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-83477-3
9786610834778 0-19-803179-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
PREFACE; TABLE OF CONTENTS; CHAPTER 1: Spatiotemporal Mapping in Natural Sciences; CHAPTER 2: Spatiotemporal Geometry; CHAPTER 3: Physical Knowledge; CHAPTER 4: The Epistemic Paradigm; CHAPTER 5: Mathematical Formulation of the BME Method; CHAPTER 6: Analytical Expressions of the Posterior Operator; CHAPTER 7: The Choice of a Spatiotemporal Estimate; CHAPTER 8: Uncertainty Assessment; CHAPTER 9: Modifications of Formal BME Analysis; CHAPTER 10: Single-Point Analytical Formulations; CHAPTER 11: Multipoint Analytical Formulations
CHAPTER 12: Popular Methods in the Light of Modern Spatiotemporal GeostatisticsCHAPTER 13: A Call Not to Arms but to Research; BIBLIOGRAPHY; INDEX |
| Record Nr. | UNINA-9910453620103321 |
|
Christakos George
|
||
| Oxford [England] ; ; New York, : Oxford University Press, 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Modern spatiotemporal geostatistics [[electronic resource] /] / George Christakos
| Modern spatiotemporal geostatistics [[electronic resource] /] / George Christakos |
| Autore | Christakos George |
| Pubbl/distr/stampa | Oxford [England] ; ; New York, : Oxford University Press, 2000 |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina |
550.15195
550/.7/27 |
| Collana | International Association for Mathematical Geology studies in mathematical geology |
| Soggetto topico |
Bayesian statistical decision theory
Earth sciences - Statistical methods Maximum entropy method |
| ISBN |
1-280-83477-3
9786610834778 0-19-803179-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
PREFACE; TABLE OF CONTENTS; CHAPTER 1: Spatiotemporal Mapping in Natural Sciences; CHAPTER 2: Spatiotemporal Geometry; CHAPTER 3: Physical Knowledge; CHAPTER 4: The Epistemic Paradigm; CHAPTER 5: Mathematical Formulation of the BME Method; CHAPTER 6: Analytical Expressions of the Posterior Operator; CHAPTER 7: The Choice of a Spatiotemporal Estimate; CHAPTER 8: Uncertainty Assessment; CHAPTER 9: Modifications of Formal BME Analysis; CHAPTER 10: Single-Point Analytical Formulations; CHAPTER 11: Multipoint Analytical Formulations
CHAPTER 12: Popular Methods in the Light of Modern Spatiotemporal GeostatisticsCHAPTER 13: A Call Not to Arms but to Research; BIBLIOGRAPHY; INDEX |
| Record Nr. | UNINA-9910782204303321 |
|
Christakos George
|
||
| Oxford [England] ; ; New York, : Oxford University Press, 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Random Field Models in Earth Sciences
| Random Field Models in Earth Sciences |
| 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 |
|
Christakos George
|
||
| Newburyport, : Dover Publications, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spatiotemporal random fields : theory and applications / / George Christakos
| Spatiotemporal random fields : theory and applications / / George Christakos |
| Autore | Christakos George |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Amsterdam, Netherlands : , : Elsevier, , 2017 |
| Descrizione fisica | 1 online resource (679 pages) : illustrations, tables |
| Disciplina | 550.15118 |
| Soggetto topico |
Earth sciences - Mathematical models
Random fields |
| ISBN |
0-12-803032-1
0-12-803012-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Space, time, space--time, randomness, and probability -- Spatiotemporal random fields -- Space-time metrics -- Space-time correlation theory -- Transformations of spatiotemporal random fields -- Geometrical properties of spatiotemporal random fields -- Auxiliary hypotheses of spatiotemporal variation -- Isostationary scalar spatiotemporal random fields -- Vector and multivariate random fields -- Special classes of spatiotemporal random fields -- Construction of spatiotemporal probability laws -- Spatiotemporal random functionals -- Generalized spatiotemporal random fields -- Physical considerations -- Permissibility in space-time -- Construction of spatiotemporal covariance models. |
| Record Nr. | UNINA-9910583355103321 |
|
Christakos George
|
||
| Amsterdam, Netherlands : , : Elsevier, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||