The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
The Perron–Frobenius Theorem and the Ranking of Football Teams
Abstract
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.
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Citations
Cites
Bramble, J. H., & Varga, R. S. (1963) · Mathematics of Computation · doi:10.2307/2003862 · Cited by 4,091
Introduction to matrix computations
Stewart, G. W. (1973) · International Linear Collider · Cited by 2,381
ON THE METHOD OF PAIRED COMPARISONS
Kendall, M. G., & Smith, B. B. (1940) · Biometrika · doi:10.1093/biomet/31.3-4.324 · Cited by 557
Mosteller, F. (1951) · Psychometrika · doi:10.1007/bf02313422 · Cited by 343
Die Berechnung der Turnier-Ergebnisse als ein Maximumproblem der Wahrscheinlichkeitsrechnung
Zermelo, E. (1929) · Mathematische Zeitschrift · doi:10.1007/bf01180541 · Cited by 286
Solution of a Ranking Problem from Binary Comparisons
Ford, L. R. (1957) · The American Mathematical Monthly · doi:10.1080/00029890.1957.11989117 · Cited by 229
BRADLEY, R. A. (1954) · Biometrics · doi:10.2307/3001592 · Cited by 69
The Method of Paired Comparisons
Thompson, W. A., & David, H. A. (1966) · Biometrics · doi:10.2307/2528197 · Cited by 59
The Method of Paired Comparisons.
Noether, G. E., & David, H. A. (1965) · Journal of the American Statistical Association · doi:10.2307/2283164 · Cited by 34
A Supplement to "A Mathematician's Guide to Popular Sports"
Stob, M. (1984) · American Mathematical Monthly · doi:10.1080/00029890.1984.11971405 · Cited by 25
Cited by
Opinion Dynamics and the Evolution of Social Power in Influence Networks
Jia, P., MirTabatabaei, A., Friedkin, N. E., & Bullo, F. (2015) · SIAM Review · doi:10.1137/130913250 · Cited by 318
Christy, J. R., Norris, W. B., Redmond, K., & Gallo, K. P. (2006) · Journal of Climate · doi:10.1175/jcli3627.1 · Cited by 151
PageRank Approach to Ranking National Football Teams
Lazova, V., & Basnarkov, L. (2015) · arXiv · doi:10.48550/arxiv.1503.01331 · Cited by 17
Metadata
- Authors
- Keener, J. P.
- Venue
- SIAM Review
- Published
- 1993-03
- Volume
- 35
- Issue
- 1
- Pages
- 80-93
- ISSN
- 0036-1445 (ISSN-L)
- 1095-7200
- OpenAlex
- W1978460556
- Cited by
- 274
- References
- 10
- FWCI
- 5.89
- Type
- journal article
- Language
- en
- Open access
- closed
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- Keener, J. P. (1993). The Perron–Frobenius Theorem and the Ranking of Football Teams. SIAM Review. https://doi.org/10.1137/1035004
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
