Grouped sparse paired comparisons in the Bradley-Terry model

Ting Yan; Jinfeng Xu; Yaning Yang

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arXiv · 1111.5110

Grouped sparse paired comparisons in the Bradley-Terry model

Ting Yan·Jinfeng Xu·Yaning Yang

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Abstract

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.

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Ting Yan, Jinfeng Xu, Yaning Yang. 2011-11-22. Grouped sparse paired comparisons in the Bradley-Terry model. https://arxiv.org/abs/1111.5110

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