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Convergence in law for certain weighted quadratic variations of fractional Brownian motion (2007)

Abstract
By means of Malliavin calculus, we prove the convergence in law for certain weighted quadratic variations of a fractional Brownian motion B with Hurst index H between 1/4 and 1/2.

Publication details
Download http://hal.archives-ouvertes.fr/hal-00164821/en/
Publisher HAL - CCSD
Repository CCSd/HAL : e-articles server (based on gBUS) (France)
Keywords Mathematics/Probability, Fractional Brownian motion, weighted quadratic variations, Malliavin calculus, weak convergence
Language Englisch
Relation http://hal.archives-ouvertes.fr/docs/00/16/48/21/PDF/nn07.pdf