Asymptotic in a class of network models with sub-Gamma perturbations

2 Nov 2021  ·  Jiaxin Guo, Haoyu Wei, Xiaoyu Lei, Jing Luo ·

For the differential privacy under the sub-Gamma noise, we derive the asymptotic properties of a class of network models with binary values with a general link function. In this paper, we release the degree sequences of the binary networks under a general noisy mechanism with the discrete Laplace mechanism as a special case... We establish the asymptotic result including both consistency and asymptotically normality of the parameter estimator when the number of parameters goes to infinity in a class of network models. Simulations and a real data example are provided to illustrate asymptotic results. read more

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