Integral representation with respect to fractional Brownian motion under a log-Hölder assumption

We show that if a random variable is the final value of an adapted log-Hölder continuous process, then it can be represented as a stochastic integral with respect to a fractional Brownian motion with adapted integrand. In order to establish this representation result, we extend the definition of the...

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Bibliographic Details
Main Authors: Taras Shalaiko, Georgiy Shevchenko
Format: Article
Language:English
Published: VTeX 2015-09-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/15-VMSTA35CNF

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