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The prevalent model by Dixon and Coles (1997) extends the double Poissonmodel where two independent Poisson distributions model the number of goalsscored 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 asthe Sarmanov family. Based on this family, we create more suitable models bymoving probabilities between scores and employing other discrete distributions.We apply the new models to women's football scores, which exhibit somecharacteristics different than that of men's football.

Extending the Dixon and Coles model: an application to women's football data