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arXiv · 2308.05460

Theory and data analysis of player and team ball possession time in football

Ken Yamamoto·Seiya Uezu·Keiichiro Kagawa·Yoshihiro Yamazaki·Takuma Narizuka
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Abstract

In this study, the stochastic properties of player and team ball possession times in professional football matches are examined. Data analysis shows that player possession time follows a gamma distribution and the player count of a team possession event follows a mixture of two geometric distributions. We propose a formula for expressing team possession time in terms of player possession time and player count in a team's possession, verifying its validity through data analysis. Furthermore, we calculate an approximate form of the distribution of team possession time, and study its asymptotic property.

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Ken Yamamoto, Seiya Uezu, Keiichiro Kagawa, Yoshihiro Yamazaki, Takuma Narizuka. 2023-08-10. Theory and data analysis of player and team ball possession time in football. https://doi.org/10.1103/physreve.109.014305

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