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math.PR2020
Limit theorems for integral functionals of Hermite-driven processes
Valentin Garino, Ivan Nourdin, David Nualart +1
Consider a moving average process of the form , , where is a (non Gaussian) Hermite process of order and $x:\mathbb{R}_…
math.PR2020
Asymptotic error distribution for the Riemann approximation of integrals driven by fractional Brownian motion
Valentin Garino, Ivan Nourdin, Pierre Vallois
We consider Riemann sum approximations of stochastic integrals with respect to the fractional Browian motion of index . We show the convergence of these schemes at f…