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

Lu Pan and Ting Yan

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 18, 4378-4393

Abstract: The β-model is a natural model for characterizing the degree heterogeneity that widely exists in the network data. The estimators of the model parameters in the differentially private β-model with the denoised process have been shown to be consistent and asymptotically normal. In this paper, we show that the moment estimators of the parameters based on the differentially private degree sequence without the denoised process is consistent and asymptotically normal.

Date: 2020
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DOI: 10.1080/03610926.2019.1599023

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