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Probability and Its Applications

Stochastic Calculus for Fractional Brownian Motion and Applications

Autoren: Biagini, F., Hu, Y., Øksendal, B., Zhang, T.

Vorschau
  • The first book to compare the different frameworks and methods of stochastic integration for fBm. It also discusses the applications of the resulting theory.
  • Written by leading contributors to the field.
  • Emphasis is placed on looking at the relationships between the differing approaches to stochastic integration
Weitere Vorteile

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eBook 71,39 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-84628-797-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 117,69 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-85233-996-8
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Softcover 90,94 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-84996-994-9
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Über dieses Buch

Fractional Brownian motion (fBm) has been widely used to model a number of phenomena in diverse fields from biology to finance. This huge range of potential applications makes fBm an interesting object of study.

fBm represents a natural one-parameter extension of classical Brownian motion therefore it is natural to ask if a stochastic calculus for fBm can be developed. This is not obvious, since fBm is neither a semimartingale (except when H = ½), nor a Markov process so the classical mathematical machineries for stochastic calculus are not available in the fBm case.

Several approaches have been used to develop the concept of stochastic calculus for fBm. The purpose of this book is to present a comprehensive account of the different definitions of stochastic integration for fBm, and to give applications of the resulting theory. Particular emphasis is placed on studying the relations between the different approaches.

Readers are assumed to be familiar with probability theory and stochastic analysis, although the mathematical techniques used in the book are thoroughly exposed and some of the necessary prerequisites, such as classical white noise theory and fractional calculus, are recalled in the appendices.

This book will be a valuable reference for graduate students and researchers in mathematics, biology, meteorology, physics, engineering and finance. Aspects of the book will also be useful in other fields where fBm can be used as a model for applications.

Stimmen zum Buch

From the reviews: “The development of stochastic integration with respect to fBm continues to be a very active area of research … became a necessity to collect the different approaches into a single monograph, in order to allow researchers in this field to have a general and quick view of the state of the art. This book very nicely attains this aim, and I can recommend it to any person interested in fractional Brownian motion.” (Ivan Nourdin, Mathematical Reviews, Issue 2010 a)

Inhaltsverzeichnis (10 Kapitel)

Inhaltsverzeichnis (10 Kapitel)

Dieses Buch kaufen

eBook 71,39 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-84628-797-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 117,69 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-85233-996-8
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Softcover 90,94 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-84996-994-9
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
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Bibliografische Information

Bibliographic Information
Buchtitel
Stochastic Calculus for Fractional Brownian Motion and Applications
Autoren
Titel der Buchreihe
Probability and Its Applications
Copyright
2008
Verlag
Springer-Verlag London
Copyright Inhaber
Springer-Verlag London
eBook ISBN
978-1-84628-797-8
DOI
10.1007/978-1-84628-797-8
Hardcover ISBN
978-1-85233-996-8
Softcover ISBN
978-1-84996-994-9
Buchreihen ISSN
1431-7028
Auflage
1
Seitenzahl
XII, 330
Themen