GROUPED SPARSE PAIRED COMPARISONS IN THE BRADLEY-TERRY MODEL

By Ting Yan, Jinfeng Xu, Yaning Yang. 2011

38 citations recorded by the source corpus.

In a wide class of paired comparisons, especially in the sports games, in which all subjects are divided into several groups, the intragroup comparisons are dense and the intergroup comparisons are sparse. Typical examples include the NFL regular season. Motivated by these situations, we propose group sparsity for paired comparisons and show the consistency and asymptotical normality of the maximum likelihood estimate in the Bradley-Terry model when the number of parameters goes to infinity in this paper. Simulations are carried out to illustrate the group sparsity and asymptotical results.

Subfields: Artificial Intelligence, Statistics and Probability

How researchers see this paper

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In Artificial Intelligence

1. Heejong Bong
2. Alessandro Rinaldo
3. Kengo Kato

In Statistics and Probability

1. Heejong Bong
2. Alessandro Rinaldo
3. Kengo Kato

Citations in the corpus

• Generalized Results for the Existence and Consistency of the MLE in the Bradley-Terry-Luce Model (2021, methodology): “…literature, which hold only under very specific settings, our condition accounts for the effect of the graph topology and of the performance gap and, despite its generality, immediately recovers the few known results as special cases; see Simons & Yao (1999),Yan et al. (2012), and Han et al. (2020).”