2008/03/26 by Akimichi Takemura, Vladimir Vovk, Takemura, Akimichi +3
Mathematics · #60F20 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60F20
paper · pdf · doi:10.48550/arxiv.0803.3679
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
arxiv created 2009/08/12 · arxiv updated 2009/12/01
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.