A dynamic paired comparisons model: Who is the greatest tennis player?
We derive a closed-form for Sterns continuum of paired comparisons models. We allow for time-varying strength in our model using barycentric rational interpolants (BRIs). We show that BRIs perform better than spline interpolation. We fit our dynamic paired comparisons model to results of tennis Grand Slam tournaments. Results suggest the greatest tennis player of the Open-Era is Roger Federer with Bjorn Borg and Jimmy Connors close behind.
or in sports ranking rating bradleyterry thurstonemosteller barycentric interpolation