The generality of the zero-one laws

Takemura, Akimichi, Vovk, Vladimir and Shafer, Glenn

(2008)

Takemura, Akimichi, Vovk, Vladimir and Shafer, Glenn (2008) The generality of the zero-one laws.

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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.

Information about this Version

This is a Submitted version
This version's date is: 26/3/2008
This item is not peer reviewed

Link to this Version

https://repository.royalholloway.ac.uk/items/d659663d-0beb-1aec-8f49-4caa1a6b1430/4/

Item TypeMonograph (Working Paper)
TitleThe generality of the zero-one laws
AuthorsTakemura, Akimichi
Vovk, Vladimir
Shafer, Glenn
Uncontrolled Keywordsmath.PR, 60F20
DepartmentsFaculty of Science\Computer Science

Identifiers

Deposited by Research Information System (atira) on 03-Jul-2014 in Royal Holloway Research Online.Last modified on 03-Jul-2014

Notes

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

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