Hyperreal-Valued Probability Measures Approximating a Real-Valued Measure

Thomas Hofweber, Ralf Schindler

Type: Article

Publication Date: 2016-01-01

Citations: 5

DOI: https://doi.org/10.1215/00294527-3542210

Abstract

We give a direct and elementary proof of the fact that every real-valued probability measure can be approximated—up to an infinitesimal—by a hyperreal-valued one which is regular and defined on the whole powerset of the sample space.

Locations

Project Euclid (Cornell University) - View - PDF
Notre Dame Journal of Formal Logic - View

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Works Cited by This (3)

Action	Title	Year	Authors
+ PDF Chat	Non-Archimedean Probability	2012	Vieri Benci Leon Horsten Sylvia Wenmackers
+ PDF Chat	On the nonstandard representation of measures	1972	C. Ward Henson
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