Stochastic Calculus for Fractional Brownian Motion and Applications
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...
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| Auteurs principaux: | , , , |
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
London :
Springer London
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2008. |
| Serija: | Probability and Its Applications
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| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
L'impression du document génère 327 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Stochastic calculus for fractional Brownian motion and applications, Francesca Biagini, Yaozhong Hu, Bernt Oksendal ... [et al.], London, Springer, 2008, 1 vol. (XII-329 p.), Probability and its applications, 978-1-85233-996-8 |
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| 020 | |a 9781846287978 | ||
| 020 | |a 9781846287978 | ||
| 041 | 0 | |a eng | |
| 082 | |a 519.2 | ||
| 084 | |a 60-02. 2010 | ||
| 084 | |a 60G22. 2010 | ||
| 084 | |a 60H05. 2010 | ||
| 084 | |a 60H07. 2010 | ||
| 084 | |a 60H10. 2010 | ||
| 084 | |a 60H30. 2010 | ||
| 100 | 1 | |a Biagini, Francesca, |d 19..-...., |c statisticienne. | |
| 245 | 1 | 0 | |a Stochastic Calculus for Fractional Brownian Motion and Applications |c Francesca Biagini, Yaozhong Hu, Bernt Øksendal, Tusheng Zhang. |
| 250 | |a 1st ed. 2008. | ||
| 260 | |a London : |b Springer London. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Probability and Its Applications |x 1431-7028 | |
| 500 | |a L'impression du document génère 327 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Fractional Brownian motion Intrinsic properties of the fractional Brownian motion Stochastic calculus Wiener and divergence-type integrals for fractional Brownian motion Fractional Wick Itô Skorohod (fWIS) integrals for fBm of Hurst index H >1/2 WickItô Skorohod (WIS) integrals for fractional Brownian motion Pathwise integrals for fractional Brownian motion A useful summary Applications of stochastic calculus Fractional Brownian motion in finance Stochastic partial differential equations driven by fractional Brownian fields Stochastic optimal control and applications Local time for fractional Brownian motion | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 = ), 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 | ||
| 650 | |a Équations aux dérivées partielles stochastiques | ||
| 650 | |a Processus de mouvement brownien | ||
| 650 | |a Finances |x Modèles mathématiques | ||
| 700 | 1 | |a Hu, Yaozhong, |d 1961-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Øksendal, Bernt Karsten, |d 1945-...., |c économiste. |4 aut | |
| 700 | 1 | |a Zhang, Tusheng, |d 1963- |4 aut | |
| 776 | 0 | |0 123379598 |t Stochastic calculus for fractional Brownian motion and applications |f Francesca Biagini, Yaozhong Hu, Bernt Oksendal ... [et al.] |c London |n Springer |d 2008 |p 1 vol. (XII-329 p.) |s Probability and its applications |z 978-1-85233-996-8 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-1-84628-797-8 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-L5D0DMVM-D |z Accès sur la plateforme Istex | |
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| 997 | |0 940244 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||