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Clark-Ocone Formula for Fractional Brownian Motion with Hurst Parameter Less Than 1/2.

Authors :
León, Jorge A.
Nualart, David
Source :
Stochastic Analysis & Applications; Mar2006, Vol. 24 Issue 2, p427-449, 23p
Publication Year :
2006

Abstract

In this paper we combine the techniques of the Malliavin and the fractional calculus to establish a Clark-Ocone integral representation for fractional Brownian motion with Hurst parameter . The uniqueness of this adapted representation is proved. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
07362994
Volume :
24
Issue :
2
Database :
Complementary Index
Journal :
Stochastic Analysis & Applications
Publication Type :
Academic Journal
Accession number :
19777890
Full Text :
https://doi.org/10.1080/07362990500522460