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2016 Hyperreal-Valued Probability Measures Approximating a Real-Valued Measure
Thomas Hofweber, Ralf Schindler
Notre Dame J. Formal Logic 57(3): 369-374 (2016). DOI: 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.

Citation

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Thomas Hofweber. Ralf Schindler. "Hyperreal-Valued Probability Measures Approximating a Real-Valued Measure." Notre Dame J. Formal Logic 57 (3) 369 - 374, 2016. https://doi.org/10.1215/00294527-3542210

Information

Received: 22 March 2013; Accepted: 6 January 2014; Published: 2016
First available in Project Euclid: 6 April 2016

zbMATH: 06621295
MathSciNet: MR3521486
Digital Object Identifier: 10.1215/00294527-3542210

Subjects:
Primary: 60A
Secondary: 20E

Rights: Copyright © 2016 University of Notre Dame

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Vol.57 • No. 3 • 2016
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