Study on mathematical modeling for Olympic sports in terms of athletics, gymnastics and Judo

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We tried to develop mathematical models for Olympic sports focusing on athletics (relay), gymnastics and Judo, by considering the event as a system. We formulated the models to calculate the probability distribution of total time in a relay event, to calculate the probability distribution of team score in team competition ofgymnastics, and to evaluate teams and athletes using AHP (Analytic Hierarchy Process)in team completion of Judo. We proposed practical models which can be applicable to real competitions by reflecting the view of coaches.