Theory of Random Sets

Stochastic geometry is a relatively new branch of mathematics. Although its predecessors such as geometric probability date back to the 18th century, the formal concept of a random set was developed in the beginning of the 1970s. Theory of Random Sets presents a state of the art treatment of the mod...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Molchanov, Ilya (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: London : Springer London : Imprint: Springer, 2005.
Édition:1st ed. 2005.
Collection:Probability and Its Applications
Sujets:
Probabilities.
Game theory.
Mathematical physics.
Statistics .
Electrical engineering.
Econometrics.
Probability Theory.
Game Theory.
Theoretical, Mathematical and Computational Physics.
Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
Electrical and Electronic Engineering.
Quantitative Economics.
Accès en ligne:Texto Completo
Table des matières:
  • Random Closed Sets and Capacity Functionals
  • Expectations of Random Sets
  • Minkowski Addition
  • Unions of Random Sets
  • Random Sets and Random Functions. Appendices: Topological Spaces
  • Linear Spaces
  • Space of Closed Sets
  • Compact Sets and the Hausdorff Metric
  • Multifunctions and Continuity
  • Measures and Probabilities
  • Capacities
  • Convex Sets
  • Semigroups and Harmonic Analysis
  • Regular Variation. References
  • List of Notation
  • Name Index
  • Subject Index.

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