IMA Journal of Management Mathematics Advance Access originally published online on October 30, 2008
IMA Journal of Management Mathematics 2009 20(2):121-131; doi:10.1093/imaman/dpn027
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This article appears in the following IMA Journal of Management Mathematics issue: Special Issue Mathematics in Sport [View the issue table of contents]
A random point process model for the score in sport matches

Institute of Information Theory and Automation, Pod vodarenkou vezi 8, 18208 Prague, Czech Republic
Email: volf{at}utia.cas.cz
Received on 20 August 2007. Accepted on 28 September 2008.
A sequence of goals scored during sport match is modelled as a realization of two dependent random point processes. It is assumed that the scoring intensity of each team has several components depending on time or on factors describing the teams and other conditions of the match. This dependence is modelled with the aid of a semi-parametric multiplicative regression model of intensity. A method of model evaluation is presented and demonstrated on a real data set. Prediction obtained from the model via the Monte Carlo simulation is compared with real results.
Keywords: sport statistics; random point process; scoring intensity; Cox's regression model; football