Berry-Esséen bounds and almost sure CLT for the quadratic variation of the bifractional Brownian motion

Soufiane Aazizi, Khalifa Es-Sebaiy

Let $B$ be a bifractional Brownian motion with parameters $H\in (0,1)$ and $K\in (0,1]$. For any $n\ge 1$, set $Z_n =\sum_{i=0}^{n-1}\big[n^{2HK}(B_{(i+1)/n}-B_{i/n})^2-\E((B_{i+1}…