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math.ST2020
A Lepskiĭ-type stopping rule for the covariance estimation of multi-dimensional Lévy processes
Katerina Papagiannouli
We suppose that a Lévy process is observed at discrete time points. Starting from an asymptotically minimax family of estimators for the continuous part of the Lévy Khinchine chara…
math.ST2019
Minimax rates for the covariance estimation of multi-dimensional Lévy processes with high-frequency data
Katerina Papagiannouli
This article studies nonparametric methods to estimate the co-integrated volatility for multi-dimensional Lévy processes with high frequency data. We construct a spectral estimator…