Theory of Random Sets

Ilya Molchanov

ISBN 10: 1849969493 / ISBN 13: 9781849969499

Editore: Springer London, 2012

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Druck auf Anfrage Neuware - Printed after ordering - 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 modern theory, but it does not neglect to recall and build on the foundations laid by Matheron and others, including the vast advances in stochastic geometry, probability theory, set-valued analysis, and statistical inference of the 1990s. The book is entirely self-contained, systematic and exhaustive, with the full proofs that are necessary to gain insight. 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 are often varying in the current literature to establish it as a natural part of modern probability theory, and to provide a platform for future development.

Codice articolo 9781849969499

Dati bibliografici

• Titolo: Theory of Random Sets
• Editore: Springer London
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1849969493
• ISBN 13: 9781849969499
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 235 L x 155 A x 28 P (millimetri) 235 millimetri di larghezza per 155 millimetri di altezza per 28 millimetri di profondità
• Peso: 756 grammi

Descrizione articolo

Riassunto

Theory of Random Sets recalls and builds on the foundations laid by Matheron and others to present a state of the art treatment of the modern theory, including the vast advances in stochastic geometry, probability theory, set-valued analysis, and statistical inference of the 1990s. The book is entirely self-contained, systematic and exhaustive, with the full proofs that are necessary to gain insight. 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 are often varying in the current literature to establish it as a natural part of modern probability theory, and to provide a platform for future development.

Informazioni sull?autore

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