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

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...

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Bibliographic Details
Published inJournal of quantitative analysis in sports Vol. 15; no. 4; pp. 345 - 356
Main Author Riedel, Kurt S.
Format Journal Article
LanguageEnglish
Published De Gruyter 01.12.2019
Subjects
05A15
68R05
97K20
97K80
97M40
cross-country
nonparametric statistics
Rank-sum scoring
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Summary: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.
ISSN:2194-6388
1559-0410
DOI:10.1515/jqas-2019-0025