Primacy and ranking of UEFA soccer teams from biasing organization rules

作者: Marcel Ausloos , Adam Gadomski , Nikolay K Vitanov , None

DOI: 10.1088/0031-8949/89/10/108002

关键词:

摘要: A question is raised on whether some implied regularity or structure, as found in the soccer team ranking by Union of European Football Associations (UEFA), due to an implicit game result value score competition conditions. The analysis based considerations complex systems, i.e. finding power other simple law fits are appropriate describe internal dynamics. It observed that specifically organized: a major class comprising few teams emerges after each season. Other classes, which apparently have regular sizes, occur subsequently. Thus, notion Sheppard primacy index envisaged findings. Additional indices discussed for enhancing features. These measures can be used sort out peer classes more general terms. very simplified toy model containing components UEFA rules suggests such extrinsic property ranking, obtained many nonlinear systems under boundary condition constraints.

参考文章(80)
HIDEAKI AOYAMA, WATARU SOUMA, YUICHI NAGAHARA, MITSUHIRO P. OKAZAKI, HIDEKI TAKAYASU, MISAKO TAKAYASU, PARETO'S LAW FOR INCOME OF INDIVIDUALS AND DEBT OF BANKRUPT COMPANIES Fractals. ,vol. 08, pp. 293- 300 ,(2000) , 10.1142/S0218348X0000038X
Colin Rose, Murray D. Smith, Mathematical Statistics with Mathematica ,(2002)
Frederick J. Gravetter, Larry B. Wallnau, Essentials of Statistics for the Behavioral Sciences ,(1991)
Tönu Puu, Nonlinear economic dynamics ,(1989)
Z. N. Oltvai, SYSTEMS BIOLOGY: Life's Complexity Pyramid Science. ,vol. 298, pp. 763- 764 ,(2002) , 10.1126/SCIENCE.1078563
Amartya Sen, On Economic Inequality ,(1973)