Asymptotics in the Bradley-Terry model for networks with a differentially private degree sequence
Yang Ouyang, Luo Jing, Wang Qiuping, Xu Zhimeng · Communication in Statistics- Theory and Methods · 2024
.The Bradley-Terry model is a common model for analyzing paired comparison data. Under differential private mechanism, there is a lack of asymptotic properties for the parameter estimator of parameters in this model. In this article, we show that the moment estimators of the parameters based on the differential private degree sequence with Laplace noise is uniformly consistent and asymptotically normal. Simulations are provided to illustrate asymptotic results.