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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
85/2018

Antisymmetry of the stochastic order on all metric spaces

Tobias Fritz

Abstract

In this short note, we prove that the stochastic order of Radon probability measures on any metric space is antisymmetric.

Received:
Oct 4, 2018
Published:
Oct 16, 2018
MSC Codes:
60E15, 28C15
Keywords:
stochastic order, stochastic dominance

Related publications

inJournal
2019 Journal Open Access
Tobias Fritz

Antisymmetry of the stochastical order on all ordered topological spaces

In: Analysis and geometry in metric spaces, 7 (2019) 1, pp. 250-252