English

Soccer: is scoring goals a predictable Poissonian process?

Data Analysis, Statistics and Probability 2010-03-03 v2 Physics and Society

Abstract

The non-scientific event of a soccer match is analysed on a strictly scientific level. The analysis is based on the recently introduced concept of a team fitness (Eur. Phys. J. B 67, 445, 2009) and requires the use of finite-size scaling. A uniquely defined function is derived which quantitatively predicts the expected average outcome of a soccer match in terms of the fitness of both teams. It is checked whether temporary fitness fluctuations of a team hamper the predictability of a soccer match. To a very good approximation scoring goals during a match can be characterized as independent Poissonian processes with pre-determined expectation values. Minor correlations give rise to an increase of the number of draws. The non-Poissonian overall goal distribution is just a consequence of the fitness distribution among different teams. The limits of predictability of soccer matches are quantified. Our model-free classification of the underlying ingredients determining the outcome of soccer matches can be generalized to different types of sports events.

Keywords

Cite

@article{arxiv.1002.0797,
  title  = {Soccer: is scoring goals a predictable Poissonian process?},
  author = {Andreas Heuer and Christian Mueller and Oliver Rubner},
  journal= {arXiv preprint arXiv:1002.0797},
  year   = {2010}
}
R2 v1 2026-06-21T14:43:02.100Z