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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
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
Fractional Brownian Motion
Language: en
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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
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
Normal Approximations with Malliavin Calculus
Language: en
Pages: 255
Authors: Ivan Nourdin
Categories: Mathematics
Type: BOOK - Published: 2012-05-10 - Publisher: Cambridge University Press

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This book shows how quantitative central limit theorems can be deduced by combining two powerful probabilistic techniques: Stein's method and Malliavin calculus