Abstract
Let be the sub-bifractional Brownian motion(sbBm) of dimension 1, with indices
and
By using the Malliavin calculus and the Stein’s method, we mainly obtain Berry-Esséen bounds and prove the almost sure central limit theorem (ASCLT) for the quadratic variation of the sub-bifractional Brownian motion.
Acknowledgements
The authors thank Dr. Yong Chen for valued discussions.