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Survival modeling of goal arrival times in English premier league

Author

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  • Ilias Leriou

    (Athens University of Economics and Business)

  • Ioannis Ntzoufras

    (Athens University of Economics and Business)

Abstract

Prediction and modeling of association football (soccer) outcomes has gained increasing interest in the scientific community in recent years, both due to betting concerns and the need for a deeper understanding of the factors influencing soccer events. We introduce and examine the validity of a Bayesian model, which belongs to the class of accelerated failure time (survival) models and is characterized by its straightforward structure. We implement MCMC methodology to estimate the posterior summaries of the model parameters and suggest a novel algorithm that can be used to transform simulated goal arrival times into predicted goals. The proposed model achieves exceptional in-sample and out-of-sample performance by replicating the entire league in a remarkably precise manner and by making accurate predictions on the second half of the league using the first half as a training dataset. The structure of the proposed model is extendable, allowing for the inclusion of in-play covariates that can be used to further map the complex dynamics of soccer matches.

Suggested Citation

  • Ilias Leriou & Ioannis Ntzoufras, 2025. "Survival modeling of goal arrival times in English premier league," Computational Statistics, Springer, vol. 40(4), pages 2109-2133, April.
  • Handle: RePEc:spr:compst:v:40:y:2025:i:4:d:10.1007_s00180-024-01589-9
    DOI: 10.1007/s00180-024-01589-9
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    References listed on IDEAS

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    1. Jakub Červený & Jan C. Ours & Martin A. Tuijl, 2018. "Effects of a red card on goal-scoring in World Cup football matches," Empirical Economics, Springer, vol. 55(2), pages 883-903, September.
    2. Siem Jan Koopman & Rutger Lit, 2015. "A dynamic bivariate Poisson model for analysing and forecasting match results in the English Premier League," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 178(1), pages 167-186, January.
    3. Thomas Andrew C, 2007. "Inter-arrival Times of Goals in Ice Hockey," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 3(3), pages 1-17, July.
    4. David J. Spiegelhalter & Nicola G. Best & Bradley P. Carlin & Angelika Van Der Linde, 2002. "Bayesian measures of model complexity and fit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 583-639, October.
    5. M. J. Maher, 1982. "Modelling association football scores," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 36(3), pages 109-118, September.
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