학술논문
Theory and data analysis of player and team ball possession time in football
Document Type
Working Paper
Source
Physical Review E 109, 014305 (2024) [9 pages]
Subject
Language
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.
Comment: 11 pages, 10 figures
Comment: 11 pages, 10 figures