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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Molchanov, Ilya (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: London : Springer London : Imprint: Springer, 2005.
Edition:1st ed. 2005.
Series:Probability and Its Applications
Subjects:
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.
Online Access:Texto Completo
Table of Contents:
  • 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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