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math.PR2023★ 1 cited
The Knothe-Rosenblatt distance and its induced topology
Mathias Beiglböck, Gudmund Pammer, Alexander Posch
A basic and natural coupling between two probabilities on is given by the Knothe-Rosenblatt coupling. It represents a multiperiod extension of the quantile coupling a…
math.PR2023
Representing General Stochastic Processes as Martingale Laws
Mathias Beiglböck, Gudmund Pammer, Stefan Schrott +1
Random variables , are 'probabilistically equivalent' if they have the same law. Moreover, in any class of equivalent random variables it is easy to select canonical r…