Abstract
In the case of differential privacy under the Laplace mechanism, the asymptotic properties of parameter estimator have been derived in some special models such as model, but under a general noisy mechanism, the results are lacking. In this article, we release the degree sequences of undirected weighted networks under a general noisy mechanism with the discrete Laplace mechanism as a special case. We establish a unified asymptotic result including the consistency and asymptotically normality of the parameter estimator. We apply it to the model, -linear model, maximum entropy models with discrete weights.
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