File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Sparse paired comparisons in the bradley-terry model

TitleSparse paired comparisons in the bradley-terry model
Authors
KeywordsBradley-Terry Model
Maximum Likelihood Estimate
Paired Comparisons
Sparsity
Issue Date2012
PublisherAcademia 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?
AbstractWhen 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 Identifierhttp://hdl.handle.net/10722/221678
ISSN
2015 Impact Factor: 0.838
2015 SCImago Journal Rankings: 2.292
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorYan, T-
dc.contributor.authorYang, Y-
dc.contributor.authorXu, J-
dc.date.accessioned2015-12-04T15:29:01Z-
dc.date.available2015-12-04T15:29:01Z-
dc.date.issued2012-
dc.identifier.citationStatistica Sinica, 2012, v. 22, p. 1305-1318-
dc.identifier.issn1017-0405-
dc.identifier.urihttp://hdl.handle.net/10722/221678-
dc.description.abstractWhen 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.languageeng-
dc.publisherAcademia Sinica, Institute of Statistical Science. The Journal's web site is located at http://www.stat.sinica.edu.tw/statistica/-
dc.relation.ispartofStatistica Sinica-
dc.subjectBradley-Terry Model-
dc.subjectMaximum Likelihood Estimate-
dc.subjectPaired Comparisons-
dc.subjectSparsity-
dc.titleSparse paired comparisons in the bradley-terry model-
dc.typeArticle-
dc.identifier.emailXu, J: xujf@hku.hk-
dc.identifier.authorityXu, J=rp02086-
dc.identifier.doi10.5705/ss.2010.299-
dc.identifier.scopuseid_2-s2.0-84864972723-
dc.identifier.volume22-
dc.identifier.spage1305-
dc.identifier.epage1318-
dc.identifier.isiWOS:000307910300018-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats