302 citations · 2.7k across the 73 of their papers we have counts for
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math.PR2018★ 2 cited
Antisymmetry of the stochastic order on all ordered topological spaces
Tobias Fritz
In this short note, we prove that the stochastic order of Radon probability measures on any ordered topological space is antisymmetric. This has been known before in various specia…
math.PR2018★ 5 cited
Stochastic order on metric spaces and the ordered Kantorovich monad
Tobias Fritz, Paolo Perrone
In earlier work, we had introduced the Kantorovich probability monad on complete metric spaces, extending a construction due to van Breugel. Here we extend the Kantorovich monad fu…
math.PR2018★ 18 cited
Bimonoidal Structure of Probability Monads
Tobias Fritz, Paolo Perrone
We give a conceptual treatment of the notion of joints, marginals, and independence in the setting of categorical probability. This is achieved by endowing the usual probability mo…