Modelling the order of scoring in team sports

抄録

This paper considers sports matches in which two teams compete to score more points within a set amount of time (e.g. football, ice hockey). We focus on the order in which the competing teams score during the match (order of scoring). This type of order of scoring problem has not been addressed previously, and doing so here gives new insights into sports matches. For example, our analysis can deal with a situation that spectators find matches that involve comebacks particularly exciting. To describe such problems mathematically, we formulate the probabilities of (i) the favourite team leading throughout the match and (ii) the favourite team falling behind the opposing team but then making a comeback. These probabilities are derived using an independent Poisson model and lattice path enumeration, the latter of which involves the well-known ballot theorem. The independence assumption allows lattice path enumeration to be applied directly to the Poisson model and various scoring patterns to be addressed. We confirm that the values obtained from the proposed models agree well with actual sports data from football, futsal and ice hockey.

本文言語 English 283-301 19 IMA Journal of Management Mathematics 32 3 https://doi.org/10.1093/imaman/dpaa017 Published - 2021 7月 1

ASJC Scopus subject areas

• 管理情報システム
• モデリングとシミュレーション
• 経済学、計量経済学および金融学（全般）
• 戦略と経営
• 経営科学およびオペレーションズ リサーチ
• 応用数学

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