A note on asymptotic distributions in a network model with degree heterogeneity and homophily

Jing Luo, Hong Qin, Weifeng Wang and Jun Wang

Communications in Statistics - Theory and Methods, 2020, vol. 50, issue 21, 5022-5033

Abstract: The asymptotic normality of a fixed number of the maximum likelihood estimators in a network model with degree heterogeneity and homophily has been established recently. In this paper, we further derive a central limit theorem for a linear combination of all the maximum likelihood estimators of degree parameter with degree heterogeneity and homophily when the number of nodes goes to infinity. Simulation studies are provided to illustrate the asymptotic results.

Date: 2020
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DOI: 10.1080/03610926.2019.1645852

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