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math.ST2023
Systems of Precision: Coherent Probabilities on Pre-Dynkin-Systems and Coherent Previsions on Linear Subspaces
Rabanus Derr, Robert C. Williamson
In literature on imprecise probability little attention is paid to the fact that imprecise probabilities are precise on a set of events. We call these sets systems of precision. We…
math.ST2023
Strictly Frequentist Imprecise Probability
Christian Fröhlich, Rabanus Derr, Robert C. Williamson
Strict frequentism defines probability as the limiting relative frequency in an infinite sequence. What if the limit does not exist? We present a broader theory, which is applicabl…