Stochastic Calculus for Fractional Brownian Motion and Related Processes

Stochastic Calculus for Fractional Brownian Motion and Related Processes
Author: Yuliya Mishura
Publisher: Springer Science & Business Media
Total Pages: 411
Release: 2008-01-02
Genre: Mathematics
ISBN: 3540758720


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This volume examines the theory of fractional Brownian motion and other long-memory processes. Interesting topics for PhD students and specialists in probability theory, stochastic analysis and financial mathematics demonstrate the modern level of this field. It proves that the market with stock guided by the mixed model is arbitrage-free without any restriction on the dependence of the components and deduces different forms of the Black-Scholes equation for fractional market.


Stochastic Calculus for Fractional Brownian Motion and Related Processes
Language: en
Pages: 411
Authors: Yuliya Mishura
Categories: Mathematics
Type: BOOK - Published: 2008-01-02 - Publisher: Springer Science & Business Media

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This volume examines the theory of fractional Brownian motion and other long-memory processes. Interesting topics for PhD students and specialists in probabilit
Stochastic Calculus for Fractional Brownian Motion and Applications
Language: en
Pages: 331
Authors: Francesca Biagini
Categories: Mathematics
Type: BOOK - Published: 2008-02-17 - Publisher: Springer Science & Business Media

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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 r
Selected Aspects of Fractional Brownian Motion
Language: en
Pages: 133
Authors: Ivan Nourdin
Categories: Mathematics
Type: BOOK - Published: 2013-01-17 - Publisher: Springer Science & Business Media

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Fractional Brownian motion (fBm) is a stochastic process which deviates significantly from Brownian motion and semimartingales, and others classically used in p
Fractional Brownian Motion
Language: en
Pages: 288
Authors: Oksana Banna
Categories: Mathematics
Type: BOOK - Published: 2019-04-30 - Publisher: John Wiley & Sons

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This monograph studies the relationships between fractional Brownian motion (fBm) and other processes of more simple form. In particular, this book solves the p
Analysis of Variations for Self-similar Processes
Language: en
Pages: 272
Authors: Ciprian Tudor
Categories: Mathematics
Type: BOOK - Published: 2013-08-13 - Publisher: Springer Science & Business Media

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Self-similar processes are stochastic processes that are invariant in distribution under suitable time scaling, and are a subject intensively studied in the las