Antisymmetry of the Stochastical Order on all Ordered Topological Spaces

T. A. Fritz

Type: Article

Publication Date: 2019-01-01

Citations: 4

DOI: https://doi.org/10.1515/agms-2019-0012

Abstract

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.

Locations

Analysis and Geometry in Metric Spaces - View - PDF
arXiv (Cornell University) - View - PDF
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Works Cited by This (8)

Action	Title	Year	Authors
+ PDF Chat	Duality theorems for marginal problems	1984	Hans G. Kellerer
+ PDF Chat	Existence of Probability Measures with Given Marginals	1991	Sam Gutmann J. H. B. Kemperman James A. Reeds L. A. Shepp
+ PDF Chat	The Existence of Probability Measures with Given Marginals	1965	Volker Strassen
+ PDF Chat	On the existence of probability measures with given marginals	1978	David A. Edwards
+	Ordered probability spaces	2017	Jimmie Lawson
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+	Stochastic order on metric spaces and the ordered Kantorovich monad	2020	T. A. Fritz Paolo Perrone
+ PDF Chat	On systems of imprimitivity on locally compact abelian groups with dense actions	1978	Mathew Joseph M. G. Nadkarni