THE PERRON-FROBENIUS THEOREM AND THE RANKING OF FOOTBALL TEAMS

被引:159
作者
KEENER, JP
机构
[1] Univ of Utah, Salt Lake City, UT
关键词
PERRON-FROBENIUS THEOREM; PAIRED COMPARISONS; RANKING; ORDERINGS;
D O I
10.1137/1035004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The author describes four different methods to rank teams in uneven paired competition and shows how each of these methods depends in some fundamental way on the Perron-Frobenius theorem.
引用
收藏
页码:80 / 93
页数:14
相关论文
共 14 条
[1]  
Berge C., 1962, THEORY GRAPHS ITS AP
[2]  
BRADLEY RA, 1952, BIOMETRIKA, V39, P324, DOI 10.1093/biomet/39.3-4.324
[4]  
David H. A., 1969, METHOD PAIRED COMP
[5]  
Ford L. R., 1957, AM MATH MONTHLY, V64, P28, DOI DOI 10.2307/2308513
[6]  
KENDALL M. G., 1939, BIOMETRIKA, V31, P324
[7]   FURTHER CONTRIBUTIONS TO THE THEORY OF PAIRED COMPARISONS [J].
KENDALL, MG .
BIOMETRICS, 1955, 11 (01) :43-62
[8]  
Mosteller F., 1951, PSYCHOMETRIKA, V16, P3
[9]  
Saaty T.L., 1987, MATH MAG, V60, P211, DOI [10.2307/2689340, DOI 10.2307/2689340]
[10]  
STEWART GW, 1973, COMPUTER SCI APPLIED