[4Yin2-20] Simultanious MLE of skills and advantages from asymmetric plays
Keywords:rating, maximum likelihood estimation, Bradley-Terry model
Rating systems based on the Bradley-Terry model has been widely used in many areas. These methods assume symmetry of players. However, in some environment, there are advantages on one side of the player: it can be first-move player of the game, or offense side of the sports. In this paper, we propose a method to estimate players' skills and advantage values by applying MLE to an adjusted Bradley-Terry model. We present experimental results which show this method is better than naive estimation on biased dataset.
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