Theory of Random Sets

Nonfiction, Science & Nature, Mathematics, Game Theory, Statistics
Cover of the book Theory of Random Sets by Ilya Molchanov, Springer London
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Ilya Molchanov ISBN: 9781447173496
Publisher: Springer London Publication: December 14, 2017
Imprint: Springer Language: English
Author: Ilya Molchanov
ISBN: 9781447173496
Publisher: Springer London
Publication: December 14, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer London

Cover of the book Emergency Echocardiography by Ilya Molchanov
Cover of the book The Art and Science of CCD Astronomy by Ilya Molchanov
Cover of the book Type 1 Diabetes by Ilya Molchanov
Cover of the book Clinical Approach to Sudden Cardiac Death Syndromes by Ilya Molchanov
Cover of the book Informatics and Management Science VI by Ilya Molchanov
Cover of the book Aspects of Safety Management by Ilya Molchanov
Cover of the book Next-Generation Wireless Technologies by Ilya Molchanov
Cover of the book The Virtual Future by Ilya Molchanov
Cover of the book Minimally Invasive Surgery of the Lumbar Spine by Ilya Molchanov
Cover of the book Neuro-Ophthalmology by Ilya Molchanov
Cover of the book Post-Operative Recovery and Pain Relief by Ilya Molchanov
Cover of the book Statistical Methods for Spoken Dialogue Management by Ilya Molchanov
Cover of the book Dementia in Clinical Practice: A Neurological Perspective by Ilya Molchanov
Cover of the book Cardiac Rehabilitation Manual by Ilya Molchanov
Cover of the book Assessment of Power System Reliability by Ilya Molchanov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy