The generality of the zero-one laws
Probability
2009-08-12 v2
Abstract
We prove game-theoretic generalizations of some well known zero-one laws. Our proofs make the martingales behind the laws explicit, and our results illustrate how martingale arguments can have implications going beyond measure-theoretic probability.
Cite
@article{arxiv.0803.3679,
title = {The generality of the zero-one laws},
author = {Akimichi Takemura and Vladimir Vovk and Glenn Shafer},
journal= {arXiv preprint arXiv:0803.3679},
year = {2009}
}
Comments
13 pages; the journal version is to appear in the Annals of the Institute of Statistical Mathematics, http://www.ism.ac.jp/editsec/aism-e.html