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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 5 > No. 2

 
   

Mathematical analyses of 2010 FIFA world cup

PP: 205-219
Author(s)
Shigeru Furuichi, Hideitsu Hino,
Abstract
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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