Laws of Small Numbers: Extremes and Rare Events: Extremes and Rare Events - Softcover

Falk, Michael; Hüsler, Jürg; Reiss, Rolf-Dieter

Softcover

ISBN 10: 3034800088 ISBN 13: 9783034800082

Verlag: Birkhäuser, 2010

Inhaltsangabe

Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of the book was strengthened in the second edition by incorporating various new results on about 130 additional pages.

Part II, which has been added in the second edition, discusses recent developments in multivariate extreme value theory.

This book is accessible to graduate students and researchers with basic knowledge in probability theory and, partly, in point processes and Gaussian processes. The required statistical prerequisites are minimal.

Über diesen Titel

Über die Autorin bzw. den Autor

Prof. Dr. Michael Falk, Universität Würzburg, Institut für Mathematik VIII - Statistik Dipl. Math. Johannes Hain, Universität Würzburg, Institut für Mathematik VIII - Statistik Prof. Dr. Frank Marohn, Universität Würzburg, Institut für Mathematik VIII - Statistik Dr. Hans Fischer, Katholische Universität Eichstätt-Ingolstadt Mathematisch-Geographische Fakultät, Didaktik der Mathematik

Von der hinteren Coverseite

Since the publication of the first edition of this seminar book in 1994, the theory and applications of extremes and rare events have enjoyed an enormous and still increasing interest. The intention of the book is to give a mathematically oriented development of the theory of rare events underlying various applications. This characteristic of the book was strengthened in the second edition by incorporating various new results. In this third edition, the dramatic change of focus of extreme value theory has been taken into account: from concentrating on maxima of observations it has shifted to large observations, defined as exceedances over high thresholds. One emphasis of the present third edition lies on multivariate generalized Pareto distributions, their representations, properties such as their peaks-over-threshold stability, simulation, testing and estimation. Reviews of the 2nd edition: "In brief, it is clear that this will surely be a valuable resource for anyone involved in, or seeking to master, the more mathematical features of this field." David Stirzaker, Bulletin of the London Mathematical Society "Laws of Small Numbers can be highly recommended to everyone who is looking for a smooth introduction to Poisson approximations in EVT and other fields of probability theory and statistics. In particular, it offers an interesting view on multivariate EVT and on EVT for non-iid observations, which is not presented in a similar way in any other textbook." Holger Drees, Metrika

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 3034800088
• ISBN 13: 9783034800082
• Einband: Taschenbuch
• Auflage: 3
• Anzahl der Seiten: 528
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland