Theory of Random Sets

• Κύριος συγγραφέας: Molchanov, Ilya (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2005.
• Σειρά: Probability and Its Applications,
• Θέματα: Mathematics.; Game theory.; Probabilities.; Physics.; Statistics.; Electrical engineering.; Economic theory.; Probability Theory and Stochastic Processes.; Game Theory, Economics, Social and Behav. Sciences.; Theoretical, Mathematical and Computational Physics.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.; Electrical Engineering.; Economic Theory/Quantitative Economics/Mathematical Methods.

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...

Πίνακας περιεχομένων:

• 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.