Extending the Dixon and Coles model: an application to women's football data
Michels R, Ötting M, Karlis D (2024)
Journal of the Royal Statistical Society / Series C: Applied Statistics.
Zeitschriftenaufsatz
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Abstract / Bemerkung
The prevalent model by Dixon and Coles extends the double Poisson model where two independent Poisson distributions model the number of goals scored by each team by moving probabilities between the scores 0-0, 0-1, 1-0, and 1-1. We show that this is a special case of a multiplicative model known as the Sarmanov family. Based on this family, we create more suitable models by moving probabilities between scores and employing other discrete distributions. We apply the new models to women's football scores, which exhibit some characteristics different than that of men's football.
Stichworte
bivariate distribution;
correlation;
dependence modelling;
Sarmanov;
family;
women's football
Erscheinungsjahr
2024
Zeitschriftentitel
Journal of the Royal Statistical Society / Series C: Applied Statistics
ISSN
0035-9254
eISSN
1467-9876
Page URI
https://pub.uni-bielefeld.de/record/2993896
Zitieren
Michels R, Ötting M, Karlis D. Extending the Dixon and Coles model: an application to women's football data. Journal of the Royal Statistical Society / Series C: Applied Statistics. 2024.
Michels, R., Ötting, M., & Karlis, D. (2024). Extending the Dixon and Coles model: an application to women's football data. Journal of the Royal Statistical Society / Series C: Applied Statistics. https://doi.org/10.1093/jrsssc/qlae050
Michels, Rouven, Ötting, Marius, and Karlis, Dimitris. 2024. “Extending the Dixon and Coles model: an application to women's football data”. Journal of the Royal Statistical Society / Series C: Applied Statistics.
Michels, R., Ötting, M., and Karlis, D. (2024). Extending the Dixon and Coles model: an application to women's football data. Journal of the Royal Statistical Society / Series C: Applied Statistics.
Michels, R., Ötting, M., & Karlis, D., 2024. Extending the Dixon and Coles model: an application to women's football data. Journal of the Royal Statistical Society / Series C: Applied Statistics.
R. Michels, M. Ötting, and D. Karlis, “Extending the Dixon and Coles model: an application to women's football data”, Journal of the Royal Statistical Society / Series C: Applied Statistics, 2024.
Michels, R., Ötting, M., Karlis, D.: Extending the Dixon and Coles model: an application to women's football data. Journal of the Royal Statistical Society / Series C: Applied Statistics. (2024).
Michels, Rouven, Ötting, Marius, and Karlis, Dimitris. “Extending the Dixon and Coles model: an application to women's football data”. Journal of the Royal Statistical Society / Series C: Applied Statistics (2024).
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