Modern spatiotemporal geostatistics

"This introductory scholarly treatment explores the fundamentals of modern geostatistics, a group of spatiotemporal concepts and methods related to the advancement of the epistemic status of stochastic data analysis. Christakos considers the role of geostatistics in improved mathematical models...

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Bibliographic Details
Main Author: Christakos, George.
Format: eBook
Language: English
Published: Mineola, N.Y. : Dover Publications, 2012.
Edition: Dover edition.
Series: Dover earth science
Subjects:
Earth sciences > Statistical methods.
Maximum entropy method.
Bayesian statistical decision theory.
elektronické knihy
electronic books
ISBN: 9781523132010
1523132019
9780486310930
0486310930
9780486488189
0486488187
Physical Description: 1 online resource (xiv, 288 pages) : illustrations

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Table of contents

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100 1 |a Christakos, George. 
245 1 0 |a Modern spatiotemporal geostatistics /  |c George Christakos. 
250 |a Dover edition. 
264 1 |a Mineola, N.Y. :  |b Dover Publications,  |c 2012. 
300 |a 1 online resource (xiv, 288 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 0 |a Dover earth science 
500 |a Originally published: Oxford; New York : Oxford University Press, 2000. 
504 |a Includes bibliographical references and index. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a "This introductory scholarly treatment explores the fundamentals of modern geostatistics, a group of spatiotemporal concepts and methods related to the advancement of the epistemic status of stochastic data analysis. Christakos considers the role of geostatistics in improved mathematical models of scientific mapping, and focuses on the Bayesian maximum entropy approach for studying spatiotemporal distributions of natural variables. 2000 edition"--  |c Provided by publisher 
505 0 |a Machine generated contents note: ch. 1 Spatiotemporal Mapping in Natural Sciences -- Mapping Fundamentals -- The Epistemic Status of Modern Spatiotemporal Geostatistics: It Pays to Theorize! -- Why Modern Geostatistics? -- Scientific content -- 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 -- ch. 2 Spatiotemporal Geometry -- A More Realistic Concept -- The Spatiotemporal Continuum Idea -- The 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 
505 0 |a Note continued: 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 geometry -- Effect of spatiotemporal geometry on mapping -- Some Final Thoughts -- ch. 3 Physical Knowledge -- 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 -- ch. 4 The Epistemic Paradigm -- Acquisition and Processing of Physical Knowledge -- Epistemic Geostatistics and the BME Analysis -- Prior stage -- Meta-prior stage 
505 0 |a Note continued: 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 -- ch. 5 Mathematical Formulation of the BME Method -- 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 -- ch. 6 Analytical Expressions of the Posterior Operator -- Specificatory Knowledge and Single-Point Mapping 
505 0 |a Note continued: Posterior Operators for Interval and Probabilistic Soft Data -- Posterior Operators for Other Forms of Soft Data -- Discussion -- ch. 7 The Choice of a Spatiotemporal Estimate -- Versatility of the BME Approach -- The BMEmode Estimate -- Statistics -- Hard and soft data -- Physical laws -- Hard and soft data -- The West Lyons Porosity Field -- Other BME Estimates -- A Matter of Coordination -- ch. 8 Uncertainty Assessment -- Mapping Accuracy -- Symmetric Posteriors -- Asymmetric Posteriors -- The Equus Beds Aquifer -- The study area -- Data collection -- The water-level elevation model -- BME water-level elevation mapping -- Optimal decision making -- Doing Progressive Guesswork -- ch. 9 Modifications of Formal BME Analysis -- Versatility and Practicality -- Functional BME Analysis -- General formulation -- The support effect -- Multivariable or Vector BME Analysis -- General formulation -- Physical laws -- Transformation laws -- Decision making 
505 0 |a Note continued: Multipoint BME Analysis -- Multipoint BME estimation -- Multipoint BME uncertainty assessment -- BME in the Context of Systems Analysis -- Risk analysis of natural systems -- Human-exposure systems -- Associations between environmental exposure and health effect -- Bringing Plato and Odysseus Together -- ch. 10 Single-Point Analytical Formulations -- The Basic Single-Point BME Equations -- Ordinary Covariance and Variogram -- Hard and Soft Data -- Particulate Matter Distributions in North Carolina -- Generalized Covariance -- Hard and Soft Data -- Some Non-Gaussian Analytical Expressions -- Theory, Practice, and Computers -- ch. 11 Multipoint Analytical Formulations -- The Basic Multipoint BME Equations -- Ordinary Covariance -- Hard and Soft Data -- Ordinary Variogram -- Hard and Soft Data -- Other Combinations -- Spatiotemporal Covariance and Variogram Models -- Separable models -- Nonseparable models -- And Still the Garden Grows! 
505 0 |a Note continued: The Argument of Modern Spatiotemporal Geostatistics -- The Ending as a New Beginning. 
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650 0 |a Maximum entropy method. 
650 0 |a Bayesian statistical decision theory. 
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