Please use this identifier to cite or link to this item:
|Title:||Sparse paired comparisons in the bradley-terry model|
Maximum likelihood estimate
|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|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jul 19, 2018
WEB OF SCIENCETM
checked on Jun 25, 2018
checked on Jun 1, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.