6533b823fe1ef96bd127e073

RESEARCH PRODUCT

Equilibrio competitivo en Liga española de futbol de Primera División: Un test de Montecarlo basado en datos funcionales

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description

The supremacy of a few teams over the other participants is a common factor in the major European football leagues. The Spanish First Division league is not an exception. In order to demonstrate this fact, functional data analysis is used to analyze football league classifications for last ten seasons, 2002-03 to 2011-12. Not only the use of these techniques distinguish this work from similar, another distinctive feature is the use of a non-uniform probability distribution on the three possible outcomes of a match, obtained from the results of the 3800 matches of the 10 seasons taking into account the difference between the categories of the teams in the match. A Monte Carlo test allows to test the hypotheses of uniformity and non-uniformity in the results.