**The generality of the zero-one laws.** / Takemura, Akimichi; Vovk, Vladimir; Shafer, Glenn.

Research output: Working paper

Published

**The generality of the zero-one laws.** / Takemura, Akimichi; Vovk, Vladimir; Shafer, Glenn.

Research output: Working paper

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title = "The generality of the zero-one laws",

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.",

keywords = "math.PR, 60F20",

author = "Akimichi Takemura and Vladimir Vovk and Glenn Shafer",

note = "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",

year = "2008",

month = mar,

day = "26",

language = "English",

type = "WorkingPaper",

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AU - Takemura, Akimichi

AU - Vovk, Vladimir

AU - Shafer, Glenn

N1 - 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

PY - 2008/3/26

Y1 - 2008/3/26

N2 - 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.

AB - 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.

KW - math.PR

KW - 60F20

M3 - Working paper

BT - The generality of the zero-one laws

ER -