Asymptotics in the Bradley-Terry model for networks with a differentially private degree sequence

Yang Ouyang, Luo Jing, Wang Qiuping and Xu Zhimeng

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 2, 437-456

Abstract: 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.

Date: 2025
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DOI: 10.1080/03610926.2024.2313063

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