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BY 4.0 license Open Access Published by De Gruyter Open Access December 31, 2019

Antisymmetry of the Stochastical Order on all Ordered Topological Spaces

  • Tobias Fritz EMAIL logo

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.

References

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Received: 2019-09-24
Accepted: 2019-11-16
Published Online: 2019-12-31

© 2019 Tobias Fritz, published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 Public License.

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