Antisymmetry of the stochastic order on all metric spaces
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Submission date: 04. Oct. 2018
published in: Analysis and geometry in metric spaces, 7 (2019) 1, p. 250-252
DOI number (of the published article): 10.1515/agms-2019-0012
with the following different title: Antisymmetry of the stochastical order on all ordered topological spaces
MSC-Numbers: 60E15, 28C15
Keywords and phrases: stochastic order, stochastic dominance
Link to arXiv:See the arXiv entry of this preprint.
In this short note, we prove that the stochastic order of Radon probability measures on any metric space is antisymmetric.