paper

Asymptotic behavior of weighted power variations of fractional Brownian motion in Brownian time

arXiv:1604.03157

Abstract

We study the asymptotic behavior of weighted power variations of fractional Brownian motion in Brownian time Z_t:= X_{Y_t}, t >= 0, where X is a fractional Brownian motion and Y is an independent Brownian motion.

arXiv commentversion2, to appear in Journal of Theoretical probability