Anomalous interactions in network of Polish Football League

Andrzej Jarynowski 1,2Janusz Miskiewicz 2

1. Wrocław University of Technology, Institute of Mathematics and Computer Science, ul. Janiszewskiego 14a, Wrocław 50-372, Poland
2. Uniwersytet Wrocławski, Wrocław 51-148, Poland


In recent years prosecution in Poland has been investigating several clubs, referees and players because of corruption procedures. We study the statistical properties of results in Polish League, looking for evidence of non-sport activity. We treat league as a complex system and we use tools from statistical physics to research some of its properties. Our analyse include: (1) comparing spectrum of correlation matrix with one of the 'cleaner' national leagues-Bundesliga and random matrixes(from different distributions related to this type of data); (2) investigating system of ranked elements in time serie and finding which clubs play for anothers profits; (3) analysing statistical situation before and after matches, which were stated by the court as those in which a crime has been commited, estimating parameters of Kopocinski model(stochastic) to predict propability of appearance of non-sport intervention in investigated match; (4) using other nolinear measures of dependance to find anomalies. This research is dedicated to release Polish Football from problem of corruption.


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Presentation: Oral at 4 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", by Andrzej Jarynowski
See On-line Journal of 4 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych"

Submitted: 2009-03-19 00:18
Revised:   2009-06-07 00:48