Inference From a Knockout Tournament

J. A. Hartigan

doi:10.1214/aoms/1177698419

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Home > Journals > Ann. Math. Statist. > Volume 39 > Issue 2 > Article

April, 1968 Inference From a Knockout Tournament

J. A. Hartigan

Ann. Math. Statist. 39(2): 583-592 (April, 1968). DOI: 10.1214/aoms/1177698419

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Abstract

A parametric probability model for order data on a set of objects is developed, which is appropriate for analysis of data with tree structure; the results of knockout tournaments are an example of such data. The parameters of the model are the probabilities that the various objects will be ranked highest. An exact Bayes analysis is possible if the prior distribution of the parameters is Dirichlet. The 1965 Wimbledon tennis tournament is used as an example.