Theory and data analysis of player and team ball possession time in football
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866913199276687360 |
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| author | Yamamoto, Ken Uezu, Seiya Kagawa, Keiichiro Yamazaki, Yoshihiro Narizuka, Takuma |
| author_facet | Yamamoto, Ken Uezu, Seiya Kagawa, Keiichiro Yamazaki, Yoshihiro Narizuka, Takuma |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_05460 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Theory and data analysis of player and team ball possession time in football Yamamoto, Ken Uezu, Seiya Kagawa, Keiichiro Yamazaki, Yoshihiro Narizuka, Takuma Physics and Society 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. |
| title | Theory and data analysis of player and team ball possession time in football |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2308.05460 |