4 papers · 1 filter
Ergodicity bounds in the Sliced Wasserstein distance for Schur stable autoregressive processes
Gerardo Barrera, Paulo Henrique da Costa, Michael A. Högele
Explicit calculations in dimension one show for Schur stable autoregressive processes with standard Gaussian noise that the ergodic convergence in the Wasserstein- distance is e…
Large deviations for light-tailed Lévy bridges on short time scales
Michael A. Högele, Torsten Wetzel
Let be a multivariate Lévy process with Lévy measure for a smoothly regularly varying function of index . The process…
On the tradeoff between almost sure error tolerance and mean deviation frequency in martingale convergence
Luisa F. Estrada, Michael A. Högele, Alexander Steinicke
In this article we quantify almost sure martingale convergence theorems in terms of the tradeoff between asymptotic almost sure rates of convergence (error tolerance) and the respe…
Cut-off phenomenon and asymptotic mixing for multivariate general linear processes
Gerardo Barrera, Michael A. Högele, Pauliina Ilmonen +1
The small noise cut-off phenomenon in continuous time and space has been studied in the recent literature for the linear and non-linear stable Langevin dynamics with additive Lévy…