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arXiv · 1810.06771

Antisymmetry of the stochastic order on all ordered topological spaces

Tobias Fritz
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Abstract

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 special cases. We give a simple and elementary proof of the general result.

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Tobias Fritz. 2018-10-16. Antisymmetry of the stochastic order on all ordered topological spaces. https://doi.org/10.1515/agms-2019-0012

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