Hierarchical Bayesian Bradley–Terry for applications in Major League Baseball
| dc.contributor.author | Phelan, G. C. | |
| dc.contributor.author | Whelan, J. T. | |
| dc.coverage.issue | 1 | cs |
| dc.coverage.volume | 7 | cs |
| dc.date.accessioned | 2019-01-02T13:23:44Z | |
| dc.date.available | 2019-01-02T13:23:44Z | |
| dc.date.issued | 2018 | cs |
| dc.description.abstract | A common problem faced in statistical inference is drawing conclusions from paired comparisons, in which two objects compete and one is declared the victor. A probabilistic approach to such a problem is the Bradley–Terry model [5, 20], first studied by Zermelo in 1929 and rediscovered by Bradley and Terry in 1952. One obvious area of application for such a model is sporting events, and in particular Major League Baseball. With this in mind, we describe a hierarchical Bayesian version of Bradley–Terry suitable for use in ranking and prediction problems, and compare results from these application domains to standard maximum likelihood approaches. Our Bayesian methods outperform the MLE-based analogues, while being simple to construct, implement, and interpret. | en |
| dc.format | text | cs |
| dc.format.extent | 71-84 | cs |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Mathematics for Applications. 2018 vol. 7, č. 1, s. 71-84. ISSN 1805-3629 | cs |
| dc.identifier.doi | 10.13164/ma.2018.07 | en |
| dc.identifier.issn | 1805-3629 | |
| dc.identifier.uri | http://hdl.handle.net/11012/137270 | |
| dc.language.iso | en | cs |
| dc.publisher | Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.relation.ispartof | Mathematics for Applications | en |
| dc.relation.uri | http://ma.fme.vutbr.cz/archiv/7_1/ma_7_1_7_phelan_whelan_final.pdf | cs |
| dc.rights | © Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.rights.access | openAccess | en |
| dc.subject | Bayesian inference, Major League Baseball, MCMC, probabilistic modeling | en |
| dc.title | Hierarchical Bayesian Bradley–Terry for applications in Major League Baseball | en |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| eprints.affiliatedInstitution.department | Ústav matematiky | cs |
| eprints.affiliatedInstitution.faculty | Fakulta strojního inženýrství | cs |
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