The Annals of Mathematical Statistics

Inference From a Knockout Tournament

J. A. Hartigan

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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.

Article information

Source
Ann. Math. Statist., Volume 39, Number 2 (1968), 583-592.

Dates
First available in Project Euclid: 27 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177698419

Digital Object Identifier
doi:10.1214/aoms/1177698419

Mathematical Reviews number (MathSciNet)
MR221653

Zentralblatt MATH identifier
0238.62029

JSTOR
links.jstor.org

Citation

Hartigan, J. A. Inference From a Knockout Tournament. Ann. Math. Statist. 39 (1968), no. 2, 583--592. doi:10.1214/aoms/1177698419. https://projecteuclid.org/euclid.aoms/1177698419


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