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math.ST2023
On the Impact of Approximation Errors on Extreme Quantile Estimation with Applications to Functional Data Analysis
Jaakko Pere, Benny Avelin, Valentin Garino +2
We study the effect of approximation errors in assessing the extreme behavior of heavy-tailed random objects. We give conditions for the approximation error such that the standard…
math.PR2023
Discretisation error for stochastic integrals with respect to the fractional Brownian motion with discontinuous integrands and local times
Valentin Garino, Lauri Viitasaari
We consider equidistant Riemann approximations of stochastic integrals with respect to the fractional Brownian motion with , where is an ar…
math.PR2023★ 1 cited
Total variation bound for Hadwiger's functional using Stein's method
Valentin Garino, Ivan Nourdin
Let be a convex body in . Let be a -dimensional random vector distributed according to the Hadwiger-Wills density associated with , defined as $…