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An Application of Stochastic Dominances in Sports Analytics

  • Autores: José María Fernández Ponce Árbol académico, Rosario Rodríguez Griñolo Árbol académico, Miguel Angel Troncoso Molina
  • Localización: Estudios de economía aplicada, ISSN 1133-3197, ISSN-e 1697-5731, Vol. 40, Nº 1, 2022 (Ejemplar dedicado a: Sports Analytics within Sports Economics and Management)
  • Idioma: inglés
  • DOI: 10.25115/eea.v40i1.7002
  • Enlaces
  • Resumen
    • Stochastic orders or stochastic dominance as they are known in Economics have been widely studied and applied in a variety of scientific fields, from Biology to Systems Engineering. However, to the best of our knowledge there is an application gap in the field of Sports Analytics or Sports Sciences. In this paper, we attempt a first approach to a possible application of stochastic orders to a dataset of LaLiga (Spain) football matches. Our aim is simply to show how a comparison can be extended beyond a simple metric comparison. In particular, we will focus on the first and second dominance stochastic orders as they are the most intuitive and simple to interpret and are also the most widely used in Economics.

  • Referencias bibliográficas
    • Damodaran, U. "Stohcastic dominance and analysis of od batting performance: the Indian ricket team, 1989-2005". Journal of Sports...
    • Denuit, M.; Dhane, J.; Goovaerts, M. and Kaas, R. "Actuarial Theory for Dependent Risks. Measures, Orders and Models". John Wiley...
    • Ensum, J.; Pollard, R. and Taylor, S. "Applications of logistic regression to shots at goal in association football: calculation of shot...
    • Ghojogh, B.; Ghojogh, A.; Crowley, M. and Karray, F. "Fitting a mixture distribution to data: tutorial.". arXiv:1901.06708v2 [stat.OT].
    • Hadar, J. and Russell, WR. "Stochastic dominance and diversification". Journal fo Economic Theory 3, (1971), 3, 288-305.
    • Hahn, ED. "Mixture densities for project management activity times: A robust approach to PERT". European Journal of Operational Research,...
    • Kopa,M.; Kabašinskas, A and Šutiené, K. "A stochastic dominance approach to pension-fun selection." IMA Journal of Management Mathematics...
    • Macdonald, B. "An Expected Goals Model for Evaluating NHL Teams and Players". MIT Sloan Sports Analytics Conference 2012, Boston,...
    • Pollard, R.; Ensum, J. and Taylor, S. "Estimating the probability of a shot resulting in a goal: The effects of distance, angle and space"....
    • Schröeder, C. and Rahmann, S. "A hybrid parameter estimation algortihm for beta mixtures and applications to methylation state classification"....
    • Shaked, M. and Shanthikumar, G. " Stochastic Orders and Their Applications". Academic Press, Boston. 1994.
    • Singh, K. "Introducing Expected Threat (xT)". 2019. https://karun.in/blog/expected-threat.html.
    • Spearman, W. "Beyond Expected Goals". MIT Sloan Sports Analytics Conference 2018, Boston, MA.
    • Tippett, J. "The Expected Goals Philosophy: A Game-Changing Way of Analysing Football". (Independently published).
    • Zhanyu Ma and Leijon, A. "Bayesian Estimation of Beta Mixture Models with Variational Inference". IEEE Transactions on Pattern Analysis...

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