Asymptotics when the number of parameters tends to infinity in the Bradley-Terry model for paired comparisons

By Gordon Simons, Yi-Ching Yao. 1999

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In Statistics and Probability

Citations in the corpus

A central limit theorem in the β-model for undirected random graphs with a diverging number of vertices (2012, methodology): “In the BradleyTerry model for paired comparisons, Simons and Yao (1999) proved that the MLE is consistent and asymptotically normal when the number of parameters goeto infinity.”
MM algorithms for generalized Bradley-Terry models (2003, methodology): “Rather than prove these facts directly as in Zermelo (1929), we adopt the approach of Lange, Hunter and Yang (2000), where algorithm (3) is shown to be a particular example from a class of algorithms we refer to here as MM algorithms.”
Matrix estimation by Universal Singular Value Thresholding (2012, methodology): “The maximum likelihood estimate was shown to be jointly consistent for all n parameters by Simons and Yao [88].”
An Econometric Model of Network Formation With Degree Heterogeneity (2017, background): “Link rule (23) results in an incomplete model of network formation: for a given draw of U, there will generally be multiple equilibrium network configurations consistent with (23) (cf., Tamer (2003)).”
Minimax-optimal Inference from Partial Rankings (2014, background): “While consistency of various rank aggregation algorithms has been studied when a growing number of sampled partial preferences is observed over a fixed number of items [5, 6], little is known in the high-dimensional setting where the number of items and number of observed partial rankings scale simu”
Random graphs with a given degree sequence (2010, background): “In work closer to the present paper, Simons and Yao [50] studied the Bradley–Terry model for comparing n contestants.”
GROUPED SPARSE PAIRED COMPARISONS IN THE BRADLEY-TERRY MODEL (2011, background): “, the quantification of the influence of statistical journals (Stigler (1994)) or the transmission/disequilibrium test in genetics (Sham and Curtis (1995)), it occurs that a group of subjects are repeatedly compared in pairs.”