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Equilibrio competitivo en Liga española de futbol de Primera División: Un test de Montecarlo basado en datos funcionales/Competitive Balance in the First Division Spanish Soccer League: A Montecarlo Test on Functional Data

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Author Info

  • MONTES, FRANCISCO

    ()
    (Departamento de Estadística e I.O., UNIVERSIDAD DE VALENCIA, ESPAÑA.)

  • SALA, RAMÓN

    ()
    (Departamento de Matemáticas para la Economía y la Empresa, UNIVERSIDAD DE VALENCIA, ESPAÑA.)

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    Abstract

    La supremacía de unos pocos equipos sobre el resto de los participantes, es un factor común a las ligas europeas de futbol más conocidas. La española no es una excepción como demuestra el análisis que proponemos. Se analizan las clasificaciones de las últimas 10 temporadas, de la 2002-03 a la 2011-12, utilizando para ello técnicas del análisis de datos funcionales (fda). No solo el empleo de estas técnicas diferencia este trabajo de otros similares, otro rasgo distintivo lo constituye el uso de una distribución de probabilidad no uniforme sobre los tres posibles resultados de un partido, obtenida a partir de los resultados de los 3800 partidos correspondientes a las 10 temporadas examinadas y de la diferencia de categoría entre los equipos que se enfrentan. Un test de Montecarlo permite contrastar las hipótesis de uniformidad y no uniformidad en los resultados. 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.

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    Bibliographic Info

    Article provided by Estudios de Economía Aplicada in its journal Estudios de Economía Aplicada.

    Volume (Year): 30 (2012)
    Issue (Month): (Agosto)
    Pages: 513-526

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    Handle: RePEc:lrk:eeaart:30_2_6

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    Related research

    Keywords: Equilibrio competitivo; test de Montecarlo ; Competitive Balance; Montecarlo Test.;

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    References

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    1. Dobson,Stephen & Goddard,John, 2011. "The Economics of Football," Cambridge Books, Cambridge University Press, number 9780521517140, October.
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    6. Rob J. Hyndman & Han Lin Shang, 2008. "Rainbow plots, Bagplots and Boxplots for Functional Data," Monash Econometrics and Business Statistics Working Papers 9/08, Monash University, Department of Econometrics and Business Statistics.
    7. Manuel Febrero & Pedro Galeano & Wenceslao González-Manteiga, 2007. "A functional analysis of NOx levels: location and scale estimation and outlier detection," Computational Statistics, Springer, vol. 22(3), pages 411-427, September.
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    9. Simon Rottenberg, 1956. "The Baseball Players' Labor Market," Journal of Political Economy, University of Chicago Press, vol. 64, pages 242.
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