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Theory of Probability and Its Applications
Article . 1994 . Peer-reviewed
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https://dx.doi.org/10.1137/113...
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Axioms for Randomness

Axioms for randomness
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1994 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:Theory of Probability & Its Applications, volume 38, pages 562-566 (issn: 0040-585X, eissn: 1095-7219, Copyright policy )
Authors: van Lambalgen, M.;

doi: 10.1137/1138058

Axioms for Randomness

Abstract

Summary: An axiomatic system of probability theory is outlined in which randomness and independence are taken as primitives. Such approach goes back to von Mises. The axioms proposed contradict the axiom of choice, but are compatible with the axiom of dependent choice, and this is sufficient for practical needs.

Keywords

von Mises approach, foundations of probability theory, axiomatic system of probability theory, Probabilistic measure theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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