School of Mathematics, Statistics & Actuarial Science

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Dec 14
14:05 - 14:55
East Kent RSS Seminar: David Firth, University of Warwick and the Alan Turing Institute

Title: Better league tables during the football season

Abstract: A specialized extension of the Zermelo-Bradley-Terry model is developed for balanced round-robin leagues with simple win-draw-loss points systems such as the 3-1-0 system used in association football.  The model allows schedule-strength differences to be eliminated coherently, to produce fully "retrodictive" match-by-match league standings that are more informative than the usual published league table (i.e., the one based on accumulated points to date). This alternative type of league table has a straightforward interpretation in terms of adjusted points totals.  Furthermore, this new method of obtaining a league table is shown to be "best" under some simple axioms. In this talk I will illustrate the method and its results by looking at the Premier League table (for which, see for the current league standings). 


Keynes College,
University of Kent,
United Kingdom


Contact: Silvia Montagna



School of Mathematics, Statistics and Actuarial Science (SMSAS), Sibson Building, Parkwood Road, Canterbury, CT2 7FS

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Last Updated: 19/10/2017