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Solution to the OK Corral Model via Decoupling of Friedman's Urn

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A Correction to this article was published on 10 June 2019

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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.

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Change history

  • 10 June 2019

    In this note we acknowledge a mistake made in Section 6 of��KV, for the exact probability for the number of survivors in the OK Corral model, given near the bottom of page 275.

  • 10 June 2019

    In this note we acknowledge a mistake made in Section 6 of��KV, for the exact probability for the number of survivors in the OK Corral model, given near the bottom of page 275.

  • 10 June 2019

    In this note we acknowledge a mistake made in Section 6 of��KV, for the exact probability for the number of survivors in the OK Corral model, given near the bottom of page 275.

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Authors
  1. J. F. C. Kingman
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  2. S. E. Volkov
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Kingman, J.F.C., Volkov, S.E. Solution to the OK Corral Model via Decoupling of Friedman's Urn. Journal of Theoretical Probability 16, 267–276 (2003). https://doi.org/10.1023/A:1022294908268

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  • DOI: https://doi.org/10.1023/A:1022294908268

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