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Mathematical analyses of 2010 FIFA world cup |
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PP: 205-219 |
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Author(s) |
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Shigeru Furuichi,
Hideitsu Hino,
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Abstract |
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| Ranking sports teams based on their scorelines is the focus of interest for many sports
fan. In this paper, we give a total ranking for 32 teams from the data (only 63 matches)
in 2010 FIFA world cup based on the method introduced by Keener. We also show that
we can decide whether a given ranking is based on a criterion which puts importance
on win-lose, or on scores by use of a continuous weighted function. Furthermore, we
give a subjective measure of closeness of matches in each group stage by using the
notion of Shannon entropy. We also give some mention on the total ranking based on
the Bradley-Terry model. |
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