Yan, Ting, Jiang, Binyan, Fienberg, Stephen E. and Leng, Chenlei (2018) Statistical inference in a directed network model with covariates. Journal of the American Statistical Association . doi:10.1080/01621459.2018.1448829 (In Press)

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Abstract

Networks are often characterized by node heterogeneity for which nodes exhibit different degrees of interaction and link homophily for which nodes sharing common features tend to associate with each other. In this paper, we rigorously study a directed network model that captures the former via node-specific parametrization and the latter by incorporating covariates. In particular, this model quantities the extent of heterogeneity in terms of outgoingness and incomingness of each node by different parameters, thus allowing the number of heterogeneity parameters to be twice the number of nodes. We study the maximum likelihood estimation of the model and establish the uniform consistency and asymptotic normality of the resulting estimators. Numerical studies demonstrate our theoretical findings and two data analyses confirm the usefulness of our model.

Item Type:	Journal Article
Subjects:	H Social Sciences > HA Statistics Q Science > QA Mathematics
Divisions:	Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH):	Social networks -- Mathematical models, Communicable diseases -- Transmission -- Mathematical models
Journal or Publication Title:	Journal of the American Statistical Association
Publisher:	American Statistical Association
ISSN:	0162-1459
Official Date:	14 March 2018
Dates:	Date Event 14 March 2018 Available 21 February 2018 Accepted
Date of first compliant deposit:	23 February 2018
DOI:	10.1080/01621459.2018.1448829
Status:	Peer Reviewed
Publication Status:	In Press
Access rights to Published version:	Restricted or Subscription Access
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID No. 11771171 National Natural Science Foundation of China http://dx.doi.org/10.13039/501100001809 PolyU 253023/16P Research Grants Council, University Grants Committee http://dx.doi.org/10.13039/501100002920 EP/N510129/1 [EPSRC] Engineering and Physical Sciences Research Council http://dx.doi.org/10.13039/501100000266
Open Access Version:	ArXiv

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