Spatiotemporal Random Fields

Spatiotemporal Random Fields: Theory and Applications

by Christakos, George

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Title Statements

  • Full title :Spatiotemporal Random Fields : Theory and Applications.

Edition Statements

  • Publication Date:2017.
  • Edition:2nd ed

Publication Statements

  • Publisher(s):Elsevier Science
  • Place of Publication:Saint Louis
  • Language:eng
  • Publication Date:2017.

Notes

2.3 NONLOCALITY: DIRECTION-SPECIFIC SPACE-TIME VARIABILITY FUNCTIONS.

The Physical Object

  • Description:1 online resource (698 pages)

Edition Identifiers

  • ISBN:9780128030325, 0128030321, 9780128030127, 0128030127
  • oclc:ocn999637766
  • LC Classification:QA274.45
  • Dewey Decimal:550.15195

Table of Contents

Front Cover; Spatiotemporal Random Fields; Spatiotemporal Random FieldsTheory and Applications; Copyright; Dedication; Contents; Preface; I -- SPACE, TIME, SPACE-TIME, RANDOMNESS, AND PROBABILITY; 1. INTRODUCTION; 2. SPACE-TIME CONTINUUM AND KOLMOGOROV PROBABILITY SPACE; 2.1 SPACE-TIME ARGUMENTS: POINTS, LAGS, SEPARATIONS, AND METRICS; 2.2 TRANSFORMATIONS AND INVARIANCE IN SPACE-TIME; 2.3 SPACE-TIME INTERPRETATIONS; 2.4 FUNCTIONS OF SPACE-TIME ARGUMENTS; 3. RANDOM VARIABLES IN SPACE-TIME; 3.1 KOLMOGOROV'S PROBABILITY THEORY; 3.2 USEFUL INEQUALITIES; 3.3 CONVERGENCE OF RANDOM VARIABLE SEQUENCES.

II -- SPATIOTEMPORAL RANDOM FIELDS1. INTRODUCTION; 1.1 THE SPACE-TIME COMPONENT; 1.2 THE RANDOMNESS COMPONENT; 2. CHARACTERIZATION OF SCALAR SPATIOTEMPORAL RANDOM FIELDS; 2.1 PROBABILISTIC STRUCTURE; 2.2 THE CHARACTERISTIC FUNCTION; 2.3 SPATIOTEMPORAL VARIABILITY FUNCTIONS: COMPLETE (OR FULL) AND PARTIAL; 2.4 ANALYSIS IN THE SPECTRAL DOMAIN; 2.5 DATA-INDEPENDENT SPATIOTEMPORAL VARIABILITY FUNCTION; 2.6 SOME NOTICEABLE SPECIAL CASES OF THE SPATIOTEMPORAL RANDOM FIELD THEORY; 2.7 SPACE-TIME SEPARABILITY; 3. PHYSICAL INSIGHT BEHIND THE RANDOM FIELD CONCEPT; 3.1 RANDOM FIELD REALIZATIONS.

3.2…

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Subjects

Earth sciences -- Mathematical models Sciences de la terre -- Modèles mathéma…

Writers

Christakos, George

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