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This scholarly introductory treatment explores the fundamentals of modern geostatistics, viewing them as the product of the advancement of the epistemic status of stochastic data analysis. The book's main focus is the Bayesian maximum entropy approach for studying spatiotemporal distributions of natural variables, an approach that offers readers a deeper understanding of the role of geostatistics in improved mathematical models of scientific mapping. Starting with a overview of the uses of spatiotemporal mapping in the natural sciences, the text explores spatiotemporal geometry, the epistemic…mehr
This scholarly introductory treatment explores the fundamentals of modern geostatistics, viewing them as the product of the advancement of the epistemic status of stochastic data analysis. The book's main focus is the Bayesian maximum entropy approach for studying spatiotemporal distributions of natural variables, an approach that offers readers a deeper understanding of the role of geostatistics in improved mathematical models of scientific mapping. Starting with a overview of the uses of spatiotemporal mapping in the natural sciences, the text explores spatiotemporal geometry, the epistemic paradigm, the mathematical formulation of the Bayesian maximum entropy method, and analytical expressions of the posterior operator. Additional topics include uncertainty assessment, single- and multi-point analytical formulations, and popular methods. An innovative contribution to the field of space and time analysis, this volume offers many potential applications in epidemiology, geography, biology, and other fields.
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Autorenporträt
George Christakos is the Birch Distinguished Professor of Geography at San Diego State University. His other Dover book is Random Field Models in Earth Sciences (43872-4).
Inhaltsangabe
Preface 1. Spatiotemporal Mapping in Natural Sciences 2. Spatiotemporal Geometry 3. Physical knowledgr 4. The Epistemic Paradigm 5. Mathematical Formulation of the BME Method 6. Analytical Expressions of the Posterior Operator 7. The Choice of a Spatiotemporal Estimate 8. Uncertainty Assessment 9. Modifications of Formal BME Analysis 10. Single-Point Analytical Formulations 11. Multipoint Analytical Formulations 12. Popular Methods in the Light of Modern Spatiotemporal Geostatistics 13. A Call Not to Arms but to Research Bibliography Index
Preface 1. Spatiotemporal Mapping in Natural Sciences 2. Spatiotemporal Geometry 3. Physical knowledgr 4. The Epistemic Paradigm 5. Mathematical Formulation of the BME Method 6. Analytical Expressions of the Posterior Operator 7. The Choice of a Spatiotemporal Estimate 8. Uncertainty Assessment 9. Modifications of Formal BME Analysis 10. Single-Point Analytical Formulations 11. Multipoint Analytical Formulations 12. Popular Methods in the Light of Modern Spatiotemporal Geostatistics 13. A Call Not to Arms but to Research Bibliography Index
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