Theory of Random Sets

1. Auflage. Softcover version of original hardcover Auflage 2005
ISBN: 978-1-84996-949-9
Verlag: Springer

Buch, Englisch, 488 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 756 g

Reihe: Probability and Its Applications

This is the first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes

Interdisciplinary connections and applications of random sets are emphasized throughout the book

An extensive bibliography in the book is available on the Web at http://liinwww.ira.uka.de/bibliography/math/random.closed.sets.html, and is accompanied by a search engine

Zielgruppe

Research

Autoren/Hrsg.

Molchanov, Ilya

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik

Inhaltsverzeichnis

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.

Über Autor(innen)

Molchanov, Ilya
Ilya Molchanov is Professor of Probability Theory in the Department of Mathematical Statistics and Actuarial Science at the University of Berne, Switzerland.