Combinatorial Models of Cross-Country Dual Meets: What is a Big Victory?

11/12/2019

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by   Kurt S. Riedel, et al.

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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.