Please use this identifier to cite or link to this item: https://doi.org/10.5705/ss.2010.299
Title: Sparse paired comparisons in the bradley-terry model
Authors: Yan, T.
Yang, Y.
Xu, J. 
Keywords: Bradley-Terry model
Maximum likelihood estimate
Paired comparisons
Sparsity
Issue Date: Jul-2012
Citation: Yan, T., Yang, Y., Xu, J. (2012-07). Sparse paired comparisons in the bradley-terry model. Statistica Sinica 22 (3) : 1305-1318. ScholarBank@NUS Repository. https://doi.org/10.5705/ss.2010.299
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.
Source Title: Statistica Sinica
URI: http://scholarbank.nus.edu.sg/handle/10635/105383
ISSN: 10170405
DOI: 10.5705/ss.2010.299
Appears in Collections:Staff Publications

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