Theory of Random Sets
Authors: Molchanov, Ilya
- Comprehensively covers the theory of random sets
- Explores interdisciplinary connections and applications of the theory
- Extensive and updated bibliography
- Includes latest developments in the field
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- About this book
-
This monograph, now in a thoroughly revised second edition, offers the latest research on random sets. It has been extended to include substantial developments achieved since 2005, some of them motivated by applications of random sets to econometrics and finance.
The present volume builds on the foundations laid by Matheron and others, including the vast advances in stochastic geometry, probability theory, set-valued analysis, and statistical inference. It shows the various interdisciplinary relationships of random set theory within other parts of mathematics, and at the same time fixes terminology and notation that often vary in the literature, establishing it as a natural part of modern probability theory and providing a platform for future development. It is completely self-contained, systematic and exhaustive, with the full proofs that are necessary to gain insight.
Aimed at research level, Theory of Random Sets will be an invaluable reference for probabilists; mathematicians working in convex and integral geometry, set-valued analysis, capacity and potential theory; mathematical statisticians in spatial statistics and uncertainty quantification; specialists in mathematical economics, econometrics, decision theory, and mathematical finance; and electronic and electrical engineers interested in image analysis.
- About the authors
-
Ilya Molchanov is Professor of Probability Theory at the Department of Mathematical Statistics and Actuarial Science at the University of Bern, Switzerland.
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Theory of Random Sets
- Authors
-
- Ilya Molchanov
- Series Title
- Probability Theory and Stochastic Modelling
- Series Volume
- 87
- Copyright
- 2017
- Publisher
- Springer-Verlag London
- Copyright Holder
- Springer-Verlag London Ltd.
- eBook ISBN
- 978-1-4471-7349-6
- DOI
- 10.1007/978-1-4471-7349-6
- Hardcover ISBN
- 978-1-4471-7347-2
- Series ISSN
- 2199-3130
- Edition Number
- 2
- Number of Pages
- X, 650
- Number of Illustrations and Tables
- 26 b/w illustrations
- Additional Information
- Originally published in the series: Probability and Its Applications
- Topics