Solution to the OK Corral Model via Decoupling of Friedman's Urn
J. Kingman, and S. Volkov. Journal of Theoretical Probability, 16 (1):
267--276(January 2003)
Abstract
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.
ER -
%0 Journal Article
%1 kingman2003OKcorral
%A Kingman, J. F. C.
%A Volkov, S. E.
%D 2003
%J Journal of Theoretical Probability
%K Friedmans_urn OK_Corral duality urn_model
%N 1
%P 267--276
%T Solution to the OK Corral Model via Decoupling of Friedman's Urn
%U http://dx.doi.org/10.1023/A:1022294908268
%V 16
%X 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.
ER -
@article{kingman2003OKcorral,
abstract = {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.
ER -},
added-at = {2010-05-15T21:19:49.000+0200},
author = {Kingman, J. F. C. and Volkov, S. E.},
biburl = {https://www.bibsonomy.org/bibtex/2dbf9ce81e8dbd189d656d5ca6673b124/peter.ralph},
description = {SpringerLink - Journal Article},
interhash = {44bf48a8de33e2c1a18a193335d45e54},
intrahash = {dbf9ce81e8dbd189d656d5ca6673b124},
journal = {Journal of Theoretical Probability},
keywords = {Friedmans_urn OK_Corral duality urn_model},
month = {#jan#},
number = 1,
pages = {267--276},
timestamp = {2010-05-15T21:19:49.000+0200},
title = {Solution to the OK Corral Model via Decoupling of Friedman's Urn},
url = {http://dx.doi.org/10.1023/A:1022294908268},
volume = 16,
year = 2003
}