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- Publisher Website: 10.5705/ss.2010.299
- Scopus: eid_2-s2.0-84864972723
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Article: Sparse paired comparisons in the bradley-terry model
Title | Sparse paired comparisons in the bradley-terry model |
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Authors | |
Keywords | Bradley-Terry Model Maximum Likelihood Estimate Paired Comparisons Sparsity |
Issue Date | 2012 |
Publisher | Academia Sinica, Institute of Statistical Science. The Journal's web site is located at http://www.stat.sinica.edu.tw/statistica/ |
Citation | Statistica Sinica, 2012, v. 22, p. 1305-1318 How to Cite? |
Abstract | When a group of subjects is repeatedly compared in pairs, the Bradley- Terry model is often used. By assuming that each pair has the same fixed number of comparison(s), Simons and Yao (1999) proved that the maximum likelihood estimates of the parameters retain good asymptotic properties when the number of subjects goes to infinity. In many applications, however, paired comparisons may be sparse and only exist in some pairs. In this note, we show that under a simple condition that controls sparsity, asymptotic results similar to Simons and Yao's continue to hold. Simulation studies and an application are further provided for the illustration of the sparsity condition and the asymptotic results. |
Persistent Identifier | http://hdl.handle.net/10722/221678 |
ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 1.368 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Yan, T | - |
dc.contributor.author | Yang, Y | - |
dc.contributor.author | Xu, J | - |
dc.date.accessioned | 2015-12-04T15:29:01Z | - |
dc.date.available | 2015-12-04T15:29:01Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Statistica Sinica, 2012, v. 22, p. 1305-1318 | - |
dc.identifier.issn | 1017-0405 | - |
dc.identifier.uri | http://hdl.handle.net/10722/221678 | - |
dc.description.abstract | When a group of subjects is repeatedly compared in pairs, the Bradley- Terry model is often used. By assuming that each pair has the same fixed number of comparison(s), Simons and Yao (1999) proved that the maximum likelihood estimates of the parameters retain good asymptotic properties when the number of subjects goes to infinity. In many applications, however, paired comparisons may be sparse and only exist in some pairs. In this note, we show that under a simple condition that controls sparsity, asymptotic results similar to Simons and Yao's continue to hold. Simulation studies and an application are further provided for the illustration of the sparsity condition and the asymptotic results. | - |
dc.language | eng | - |
dc.publisher | Academia Sinica, Institute of Statistical Science. The Journal's web site is located at http://www.stat.sinica.edu.tw/statistica/ | - |
dc.relation.ispartof | Statistica Sinica | - |
dc.subject | Bradley-Terry Model | - |
dc.subject | Maximum Likelihood Estimate | - |
dc.subject | Paired Comparisons | - |
dc.subject | Sparsity | - |
dc.title | Sparse paired comparisons in the bradley-terry model | - |
dc.type | Article | - |
dc.identifier.email | Xu, J: xujf@hku.hk | - |
dc.identifier.authority | Xu, J=rp02086 | - |
dc.identifier.doi | 10.5705/ss.2010.299 | - |
dc.identifier.scopus | eid_2-s2.0-84864972723 | - |
dc.identifier.volume | 22 | - |
dc.identifier.spage | 1305 | - |
dc.identifier.epage | 1318 | - |
dc.identifier.isi | WOS:000307910300018 | - |
dc.identifier.issnl | 1017-0405 | - |