The Sources of Kolmogorov's Grundbegriffe
Statistics Theory
2007-06-13 v1 Statistics Theory
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.
Cite
@article{arxiv.math/0606533,
title = {The Sources of Kolmogorov's Grundbegriffe},
author = {Glenn Shafer and Vladimir Vovk},
journal= {arXiv preprint arXiv:math/0606533},
year = {2007}
}
Comments
Published at http://dx.doi.org/10.1214/088342305000000467 in the Statistical Science (http://www.imstat.org/sts/) by the Institute of Mathematical Statistics (http://www.imstat.org)