Stochastic dynamic Thurstone-Mosteller models for sports tournaments
Cattelan, Manuela, Varin, Cristiano and Firth, David (2010) Stochastic dynamic Thurstone-Mosteller models for sports tournaments. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. (Working papers).
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In the course of national sports tournaments, usually lasting several months, it is expected that the abilities of teams taking part in the tournament change in time. A dynamic extension of the Thurstone-Mosteller model for paired comparison data is introduced to model the outcomes of sporting contests allowing for time-varying abilities. It is assumed that the development of teams' abilities follows a stationary process and a team-specific home effect is considered. The likelihood function of the proposed model requires the approximation of a high dimensional integral. This difficulty is overcome by means of maximum simulated likelihood via the Geweke-Hajivassiliou-Keane algorithm. Ranking of teams and forecasting future match results are performed through a Metropolis-Hastings algorithm. The methodology is applied to sports data with and without tied contests, namely the 2006-2007 Italian volleyball league and the 2008-2009 Italian Serie A football season.
|Item Type:||Working or Discussion Paper (Working Paper)|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Science > Statistics|
|Library of Congress Subject Headings (LCSH):||Sports tournaments -- Mathematical models|
|Series Name:||Working papers|
|Publisher:||University of Warwick. Centre for Research in Statistical Methodology|
|Place of Publication:||Coventry|
|Number of Pages:||25|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
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