August 2021 Khinchin’s 1929 Paper on Von Mises’ Frequency Theory of Probability
Lukas M. Verburgt
Author Affiliations +
Statist. Sci. 36(3): 339-343 (August 2021). DOI: 10.1214/20-STS798


In 1929, a few years prior to his colleague Kolmogorov’s Grundbegriffe, the leading Russian probabilist Khinchin published a paper in which he commented on the foundational ambitions of von Mises’ frequency theory of probability. This brief introduction provides background and context for the English translation of Khinchin’s historically revealing paper, published as an online supplement.

Funding Statement

This paper was written with support from a VENI research grant (#275-20-066) from the Netherlands Organisation for Scientific Research.


I would like to thank Glenn Shafer for his encouragement, support and many helpful suggestions, Laurent Mazliak for our collaboration and his hospitality, Jan von Plato for making the original Russian version of Khinchin’s 1929 paper available, Vladimir Vovk for his remarks on an earlier version of the paper, Chris Stray for improving the translation, and Guido Bacciagaluppi for his historical references. I’m grateful to the Editor, Associate Editor and two anonymous referees for their valuable comments, which led to significant changes.


Download Citation

Lukas M. Verburgt. "Khinchin’s 1929 Paper on Von Mises’ Frequency Theory of Probability." Statist. Sci. 36 (3) 339 - 343, August 2021.


Published: August 2021
First available in Project Euclid: 28 July 2021

MathSciNet: MR4293093
zbMATH: 1495.01019
Digital Object Identifier: 10.1214/20-STS798

Keywords: foundations of probability theory , frequency theory of probability , History of mathematics , Khinchin , Kolmogorov , von Mises

Rights: Copyright © 2021 Institute of Mathematical Statistics


This article is only available to subscribers.
It is not available for individual sale.

Vol.36 • No. 3 • August 2021
Back to Top