Pólya urn model for analysis of football passes
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917152996458496 |
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| author | Yamamoto, Ken |
| author_facet | Yamamoto, Ken |
| contents | This study analyzes pass networks in football (soccer) using a stochastic model known as the Pólya urn. By focusing on preferential selection, it theoretically demonstrates that the time evolution of networks can be characterized by a single parameter. Building on this result, a data analysis method is proposed and applied to a large-scale public dataset of professional football matches. The statistical properties of the preferential-selection parameter are examined, demonstrating its correlation with pass accuracy and with mean pass difficulty. This method is applicable to various evolving networks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04089 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pólya urn model for analysis of football passes Yamamoto, Ken Physics and Society Data Analysis, Statistics and Probability 60C05, 91D30, 62P20 G.3; H.2.8; J.4 This study analyzes pass networks in football (soccer) using a stochastic model known as the Pólya urn. By focusing on preferential selection, it theoretically demonstrates that the time evolution of networks can be characterized by a single parameter. Building on this result, a data analysis method is proposed and applied to a large-scale public dataset of professional football matches. The statistical properties of the preferential-selection parameter are examined, demonstrating its correlation with pass accuracy and with mean pass difficulty. This method is applicable to various evolving networks. |
| title | Pólya urn model for analysis of football passes |
| topic | Physics and Society Data Analysis, Statistics and Probability 60C05, 91D30, 62P20 G.3; H.2.8; J.4 |
| url | https://arxiv.org/abs/2511.04089 |