# The Performance of the MLE in the Bradley-Terry-Luce Model in $\ell_{\infty}$-Loss and under General Graph Topologies

@inproceedings{Li2021ThePO, title={The Performance of the MLE in the Bradley-Terry-Luce Model in \$\ell\_\{\infty\}\$-Loss and under General Graph Topologies}, author={Wanshan Li and Shamindra Shrotriya and Alessandro Rinaldo}, year={2021} }

The Bradley-Terry-Luce (BTL) model is a popular statistical approach for estimating the global ranking of a collection of items of interest using pairwise comparisons. To ensure accurate ranking, it is essential to obtain precise estimates of the model parameters in the `∞-loss. The difficulty of this task depends crucially on the topology of the pairwise comparison graph over the given items. However, beyond very few well-studied cases, such as the complete and Erdös-Rényi comparison graphs…

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