  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.
