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Statistical inference in a directed network model with covariates
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Yan, Ting, Jiang, Binyan, Fienberg, Stephen E. and Leng, Chenlei (2019) Statistical inference in a directed network model with covariates. Journal of the American Statistical Association, 114 (526). pp. 857-868. doi:10.1080/01621459.2018.1448829
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Official URL: https://doi.org/10.1080/01621459.2018.1448829
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 | ||||||||||||
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| Subjects: | H Social Sciences > HA Statistics Q Science > QA Mathematics |
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| 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: | 2019 | ||||||||||||
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| Volume: | 114 | ||||||||||||
| Number: | 526 | ||||||||||||
| Page Range: | pp. 857-868 | ||||||||||||
| DOI: | 10.1080/01621459.2018.1448829 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
| RIOXX Funder/Project Grant: |
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| Open Access Version: |
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