Statistical Science

The Sources of Kolmogorov’s Grundbegriffe

Glenn Shafer and Vladimir Vovk

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Abstract

Andrei Kolmogorov’s Grundbegriffe der Wahrscheinlichkeits-rechnung put probability’s modern mathematical formalism in place. It also provided a philosophy of probability—an explanation of how the formalism can be connected to the world of experience. In this article, we examine the sources of these two aspects of the Grundbegriffe—the work of the earlier scholars whose ideas Kolmogorov synthesized.

Article information

Source
Statist. Sci. Volume 21, Number 1 (2006), 70-98.

Dates
First available in Project Euclid: 6 June 2006

Permanent link to this document
http://projecteuclid.org/euclid.ss/1149600847

Digital Object Identifier
doi:10.1214/088342305000000467

Mathematical Reviews number (MathSciNet)
MR2275967

Zentralblatt MATH identifier
05191852

Citation

Shafer, Glenn; Vovk, Vladimir. The Sources of Kolmogorov’s Grundbegriffe . Statistical Science 21 (2006), no. 1, 70--98. doi:10.1214/088342305000000467. http://projecteuclid.org/euclid.ss/1149600847.


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References

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