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math.ST2022★ 2 cited
Optimal regularized hypothesis testing in statistical inverse problems
Remo Kretschmann, Daniel Wachsmuth, Frank Werner
Testing of hypotheses is a well studied topic in mathematical statistics. Recently, this issue has also been addressed in the context of Inverse Problems, where the quantity of int…
math.ST2022★ 3 cited
Are minimizers of the Onsager-Machlup functional strong posterior modes?
Remo Kretschmann
In this work we connect two notions: That of the nonparametric mode of a probability measure, defined by asymptotic small ball probabilities, and that of the Onsager-Machlup functi…