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math.PR2017
Wasserstein and total variation distance between marginals of Lévy processes
Ester Mariucci, Markus Reiß
We present upper bounds for the Wasserstein distance of order between the marginals of Lévy processes, including Gaussian approximations for jumps of infinite activity. Using t…
math.PR2014
Volatility estimation under one-sided errors with applications to limit order books
Markus Bibinger, Moritz Jirak, Markus Reiß
For a semi-martingale , which forms a stochastic boundary, a rate-optimal estimator for its quadratic variation is constructed based on observations i…