Journal
JOURNAL OF THEORETICAL PROBABILITY
Volume 16, Issue 1, Pages 267-276Publisher
KLUWER ACADEMIC/PLENUM PUBL
DOI: 10.1023/A:1022294908268
Keywords
OK Corral; urn models; coupling; reinforced random walks
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We consider the OK Corral model formulated by Williams and McIlroy((11)) and later studied by Kingman.((7)) In this paper we refine some of Kingman' s results, by showing the connection between this model and Friedman s urn, and using Rubin s construction to decouple the urn. Also we obtain the exact expression for the probability of survival of exactly S gunmen given an initially fair configuration.
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