  The prevalent model by Dixon and Coles (1997) 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.
