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Combinatorial models of cross-country dual meets: what is a big victory?

Kurt S. Riedel

Abstract

Combinatorial/probabilistic models for cross-country dual-meets are proposed. The first model assumes that all runners are equally likely to finish in any possible order. The second model assumes that each team is selected from a large identically distributed population of potential runners and with each potential runner’s ranking determined by the initial draw from the combined population.

MSC 2010: 68R05; 97K20; 97K80; 97M40; 05A15

Acknowledgement

We thank the anonymmous referee for pointing out the Wilcoxon rank-sum statistic as well as many other references.

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Published Online: 2019-08-01
Published in Print: 2019-10-25

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