Asymptotic theory in network models with covariates and a growing number of node parameters

Qiuping Wang (), Yuan Zhang () and Ting Yan ()
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Qiuping Wang: Zhaoqing University
Yuan Zhang: The Ohio State University
Ting Yan: Central China Normal University

Annals of the Institute of Statistical Mathematics, 2023, vol. 75, issue 2, No 8, 369-392

Abstract: Abstract We propose a general model that jointly characterizes degree heterogeneity and homophily in weighted, undirected networks. We present a moment estimation method using node degrees and homophily statistics. We establish consistency and asymptotic normality of our estimator using novel analysis. We apply our general framework to three applications, including both exponential family and non-exponential family models. Comprehensive numerical studies and a data example also demonstrate the usefulness of our method.

Keywords: $$\beta$$ β -Model; Degree heterogeneity; Network homophily; Network method of moments (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10463-022-00848-0

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