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Journal

2014 | 12 | 11 | 773-779

Article title

Intrinsic classes in the Union of European Football Associations soccer team ranking

Authors

Content

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Languages of publication

EN

Abstracts

EN
A strong structural regularity of classes is found in soccer teams ranked by the Union of European Football Associations (UEFA) for the time interval 2009–2014. It concerns 424 to 453 teams according to the 5 competition seasons. The analysis is based on the rank-size theory considerations, the size being the UEFA coefficient at the end of a season. Three classes emerge: (i) the few ”top” teams, (ii) 300 teams, (iii) the rest of the involved teams (about 150) in the tail of the distribution. There are marked empirical laws describing each class. A 3-parameter Lavalette function is used to describe the concave curving as the rank increases, and to distinguish the the tail from the central behavior.

Publisher

Journal

Year

Volume

12

Issue

11

Pages

773-779

Physical description

Dates

published
1 - 11 - 2014
online
17 - 8 - 2014

References

  • [1] R. Axelrod, M. D. Cohen, Harnessing complexity: Organizational implications on a scientific frontier (New York, Free Press, 1999)
  • [2] W. B. Arthur, Science 284, 107 (1999) http://dx.doi.org/10.1126/science.284.5411.107[Crossref]
  • [3] H. Kantz, T. Schreiber, Nonlinear time series analysis (Cambridge, Cambridge University Press, 1997).
  • [4] A. Gadomski, Nonlinear Phenomena in Complex Systems. 3, 321 (2000)
  • [5] N. K. Vitanov, I. P. Jordanov, Z. I. Dimitrova, Communications in Nonlinear Science and Numerical Simulation 14, 2379 (2009) http://dx.doi.org/10.1016/j.cnsns.2008.07.015[Crossref]
  • [6] C. S. Bertuglia, F. Vaio, Nonlinearity, Chaos, and Complexity: The Dynamics of Natural and Social Systems (Oxford University Press, Oxford, 2005)
  • [7] J. Kwapien, S. Drozdz, Phys. Rep. 515, 115 (2012) http://dx.doi.org/10.1016/j.physrep.2012.01.007[Crossref]
  • [8] P. Bak, C. Tang, K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987). http://dx.doi.org/10.1103/PhysRevLett.59.381[Crossref]
  • [9] B. M. Roehner, Driving forces in physical, biological and socio-economic phenomena: a network science investigation of social bonds and interactions, (Cambridge University Press, 2007) http://dx.doi.org/10.1017/CBO9780511611148[Crossref]
  • [10] G. K. Zipf, Human Behavior and the Principle of Least Effort: An Introduction to Human Ecology (Cambridge, Mass: Addison Wesley, 1949)
  • [11] H. M. Edwards, Riemann Zeta Function (Academic Press, 1974)
  • [12] N. M. Temme, Special Functions: An Introduction to Classical Functions of Mathematical Physics (Wiley, New York, 1996) http://dx.doi.org/10.1002/9781118032572[Crossref]
  • [13] E. C. Titchmarsh, The Theory of the Riemann Zeta Function (Oxford University Press, 1951)
  • [14] Deng Weibing, Li Wei, Cai Xu, A. Bulou, A. Wang Qiuping, New J. Phys. 14, 093038 (2012) http://dx.doi.org/10.1088/1367-2630/14/9/093038[Crossref]
  • [15] B. Pilavci, On-pitch success in UEFA Champions League: an empirical analysis of economic, demographic and traditional factors, Master’s thesis within Economics and Management of Entertainment & Art Industries, Jönköping University (2011)
  • [16] C. P. Barros, J. del Corral, P. Garcia-del-Barrio, J. Sport. Econom. 9, 451 (2008)
  • [17] C. P. Barros, P. Garcia-del-Barrio, Econ. Model. 25, 994 (2008) http://dx.doi.org/10.1016/j.econmod.2008.01.004[Crossref]
  • [18] http://www.fifa.com/aboutfifa/organisation/homefifa/index.html
  • [19] http://www.fifa.com/aboutfifa/organisation/confederations/index.html
  • [20] R. T. Stefani, J. Appl. Stat. 24, 635 (1997) http://dx.doi.org/10.1080/02664769723387[Crossref]
  • [21] W. Kern, D. Paulusma, Discr. Appl. Math. 108, 317 (2001) http://dx.doi.org/10.1016/S0166-218X(00)00241-9[Crossref]
  • [22] P. Macmillan, I. Smith, J. Sport Econ. 8, 202 (2007) http://dx.doi.org/10.1177/1527002505279344[Crossref]
  • [23] M. Ausloos, R. Cloots, A. Gadomski, N. K. Vitanov, arxiv: 1403.5683 [WoS]
  • [24] A. C. Constantinou, N. E. Fenton, Journal of Quantitative Analysis in Sports, 9, 37 (2013) http://dx.doi.org/10.1515/jqas-2012-0036[Crossref]
  • [25] http://fr.uefa.com/memberassociations/uefarankings/club/index.html
  • [26] R. A. Fairthorne, J. Doc. 25, 319 (1969) http://dx.doi.org/10.1108/eb026481[Crossref]
  • [27] D. Lavalette, Facteur d’impact: impartialité ou impuissance?, Internal Report, INSERM U350, Institut Curie, France. (Nov. 1996)
  • [28] C. Rose, D. Murray, D. Smith, Mathematical Statistics with Mathematica (Springer, New York, 2002) p. 107 http://dx.doi.org/10.1007/978-1-4612-2072-5[Crossref]
  • [29] R. Mansilla, E. Köppen, G. Cocho, P. Miramontes, J. Informetr. 1, 155 (2007) http://dx.doi.org/10.1016/j.joi.2007.01.001[Crossref]
  • [30] I.A. Voloshynovska, J. Quant. Linguist. 18, 274 (2011) http://dx.doi.org/10.1080/09296174.2011.583405[Crossref]
  • [31] K. Levenberg, Quart. Appl. Math. 2, 164 (1944)
  • [32] D. W. Marquardt, J. Soc. Ind. Appl. Math. 11, 431 (1963) http://dx.doi.org/10.1137/0111030[Crossref]
  • [33] M. I. A. Lourakis, Foundation of Research and Technology 4, 1 (2011)
  • [34] A. Ranganathan, The Levenberg-Marquardt algorithm, Tutorial on LM Algorithm (2004)
  • [35] M. E. J. Newman, Contemp. Phys 46, 323 (2005) http://dx.doi.org/10.1080/00107510500052444[Crossref]
  • [36] S. Brakman, H. Garretsen, C. van Marrewijk, M. van den Berg, J. Regional Sci. 39, 182 (1999) http://dx.doi.org/10.1111/1467-9787.00129[Crossref]
  • [37] Deloitte, Annual Review of Football Finance (2013)
  • [38] T. L. Hill, Thermodynamics of Small Systems (Dover, New York, 1994)
  • [39] A. Gadomski, J. M. Rubi, Chem. Phys. 293, 169 (2003)
  • [40] J. M. Rubi, D. Bedeaux, S. Kjelstrup, J. Phys. Chem. B 110, 12733 (2006)
  • [41] I. Fainmesser, Ch. Fershtman, N. Gandal, J. Sport. Econ. 10, 582 (2009) http://dx.doi.org/10.1177/1527002509336891[Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-014-0505-4
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