The 1/H-variation of the divergence integral with respect to the fractional Brownian motion for H>1/2 and fractional Bessel processes
We study the 1/H-variation of the indefinite integral with respect to fractional Brownian motion for , where this integral is defined as the divergence integral in the framework of the Malliavin calculus. An application to the integral representation of Bessel processes with respect to fractional Brownian motion is discussed.
Year of publication: |
2005
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Authors: | Guerra, João M.E. ; Nualart, David |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 115.2005, 1, p. 91-115
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Publisher: |
Elsevier |
Keywords: | Fractional Brownian motion Malliavin calculus Divergence integral p-variation Bessel processes |
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