September 5, 2022 to December 9, 2022
Europe/Paris timezone
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Claudia Strauch- On high-dimensional Lévy-driven Ornstein–Uhlenbeck processes

Oct 5, 2022, 9:00 AM
Amphitheater Hermite, IHP

Amphitheater Hermite, IHP


We investigate the problem of estimating the drift parameter of a high-dimensional Lévy-driven Ornstein–Uhlenbeck process under sparsity constraints. It is shown that both Lasso and Slope estimators achieve the minimax optimal rate of convergence (up to numerical constants), for tuning parameters chosen independently of the confidence level. The results are non-asymptotic and hold both in probability and conditional expectation with respect to an event resembling the restricted eigenvalue condition.
Based on joint work with Niklas Dexheimer.

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