A note on undirected random graph models parameterized by the strengths of vertices

Qiuping Wang

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 22, 5380-5398

Abstract: The consistency and asymptotic normality of the moment estimator in a class of the so-called node-parameter network models have been established under the edge independence assumption. In this note, we extend the results to edge dependence case. We consider the marginal distribution of the network edge parameterized by a set of node parameters with possibly complex dependent structures. We present the moment estimation for inferring the node parameters. We obtain the consistency of the moment estimator of the node parameter under some mild conditions. The asymptotic representation of the moment estimator is also derived, which can be used to characterize its limiting distribution. Two applications are provided to illustrate the theoretical results.

Date: 2021
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DOI: 10.1080/03610926.2020.1728332

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