Parameter estimation
Storyboard
Using game videos, an estimation of the key parameters of the model can be made:
- average time between passes
- average distance advanced or retreated with the ball
- probability of kicking forward or backward
- probability of keeping the ball
- average distance thrown by the goalkeeper
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Study of the match video
Video
To make the estimations of the parameters, videos of matches can be used. The following explains how the values are obtained using, for example, the match between Chelsea and Manchester United. An excerpt is shown below:
https://www.youtube.com/watch?v=QP25ucU8vfI&t=2766s (only 1:29)
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Movement counting: average times
Equation
Each kick initiates a move that ends up being successful if the next one is performed by the same team:
Every kick starts a movement
If the number of kicks $n$ and the total elapsed time $t$ are counted, the time of a movement can be estimated
$ \Delta t = \displaystyle\frac{ t }{ n }$ |
\n\nIf the video is observed, the initial sequence consists of $n=18$ movements with a total time of $t=33,s$, so the time of an event is of the order of\n\n
$\Delta t = \displaystyle\frac{t}{n}=\displaystyle\frac{33,s}{18}=1.83,s$
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