106
Views
0
CrossRef citations to date
0
Altmetric
Articles

A network Poisson model for weighted directed networks with covariates

&
Pages 5274-5293 | Received 17 Jul 2021, Accepted 05 Nov 2021, Published online: 28 Nov 2021

References

  • Amemiya, T. 1985. Advanced econometrics. Cambridge, MA: Harvard University Press.
  • Bhattacharyya, S., and P. J. Bickel. 2016. Spectral clustering and block models: A review and a new algorithm. In Statistical analysis for high-dimensional data, ed. A. Frigessi, P. Bühlmann, I. K. Glad, M. Langaas, S. Richardson, and M. Vannucci, 67–90. Cham: Springer International Publishing.
  • Billingsley, P. 1995. Probability and measure. 3rd ed. New York: Wiley.
  • Brown, L. D. 1986. Fundamentals of statistical exponential families with applications in statistical decision theory. Hayward, CA: Institute of Mathematical Statistics.
  • Chatterjee, S., P. Diaconis, and A. Sly. 2011. Random graphs with a given degree sequence. Annals of Applied Probability 21 (4):1400–35.
  • Chen, M., K. Kato, and C. Leng. 2021. Analysis of networks via the sparse β-model. Journal of the Royal Statistical Society, Series B. doi:10.1111/rssb.12444.
  • Cohen, W. W. 2004. Enron email dataset. Retrieved March 12, 2005.
  • Fienberg, S. E. 2012. A brief history of statistical models for network analysis and open challenges. Journal of Computational and Graphical Statistics 21 (4):825–39. doi:10.1080/10618600.2012.738106.
  • Goldenberg, A., A. X. Zheng, S. E. Fienberg, and E. M. Airoldi. 2010. A survey of statistical network models. Foundations and Trends® in Machine Learning 2 (2):129–233. doi:10.1561/2200000005.
  • Gragg, W. B., and R. A. Tapia. 1974. Optimal error bounds for the Newton-Kantorovich theorem. SIAM Journal on Numerical Analysis 11 (1):10–3. doi:10.1137/0711002.
  • Graham, B. S. 2017. An econometric model of network formation with degree heterogeneity. Econometrica 85 (4):1033–63. doi:10.3982/ECTA12679.
  • Hillar, C., and A. Wibisono. 2013. Maximum entropy distributions on graphs. arXiv preprint arXiv:1301.3321.
  • Holland, P. W., and S. Leinhardt. 1981. An exponential family of probability distributions for directed graphs. Journal of the American Statistical Association 76 (373):33–50. doi:10.1080/01621459.1981.10477598.
  • Kantorovich, L. V. 1948. Functional analysis and applied mathematics. Uspekhi Mat Nauk 3 (6:28): 89–185.
  • Kim, B., K. H. Lee, L. Xue, and X. Niu. 2018. A review of dynamic network models with latent variables. Statistics Surveys 12:105–35.
  • Kolaczyk, E. D. 2009. Statistical analysis of network data. New York: Springer-Verlag.
  • Lazega, E. 2001. The collegial phenomenon: The social mechanisms of cooperation among peers in a corporate law partnership. Oxford University Press. Accessed November 19, 2021. 10.1093/acprof:oso/9780199242726.001.0001/acprof-9780199242726
  • Neyman, J., and E. Scott. 1948. Consistent estimates based on partially consistent observations. Econometrica 16 (1):1–32. doi:10.2307/1914288.
  • Perry, P. O., and P. J. Wolfe. 2012. Null models for network data. http://arxiv.org/abs/1201.5871.
  • Rinaldo, A., S. Petrović, and S. E. Fienberg. 2013. Maximum lilkelihood estimation in the β-model. The Annals of Statistics 41 (3):1085–110. doi:10.1214/12-AOS1078.
  • Robins, G., P. Pattison, Y. Kalish, and D. Lusher. 2007a. An introduction to exponential random graph (p*) models for social networks. Social Networks 29 (2):173–91. Special section: Advances in exponential random graph (p*) models. doi:10.1016/j.socnet.2006.08.002.
  • Robins, G., T. Snijders, P. Wang, M. Handcock, and P. Pattison. 2007b. Recent developments in exponential random graph (p*) models for social networks. Social Networks 29 (2):192–215. Special section: Advances in exponential random graph (p*) models. doi:10.1016/j.socnet.2006.08.003.
  • Wang, Q. 2021. A sparse p0 model with covariates for directed networks. arXiv preprint arXiv:0906.5148.
  • Wang, Q., Q. Wang, and J. Luo. 2020. Asymptotics in a probit model for directed networks. Communications in Statistics - Theory and Methods: 1–17. doi:10.1080/03610926.2020.1795197.
  • Wang, Q., C. Zhao, and J. Luo. 2021. Inference in a probit model for affiliation networks. Communications in Statistics - Theory and Methods: 1–22. doi:10.1080/03610926.2021.1873381.
  • Yan, T. 2018. A unified framework for inference in network models with degree heterogeneity and homophily. arXiv:1806.02550.
  • Yan, T., B. Jiang, S. E. Fienberg, and C. Leng. 2019. Statistical inference in a directed network model with covariates. Journal of the American Statistical Association 114 (526):857–68. doi:10.1080/01621459.2018.1448829.
  • Yan, T., C. Leng, and J. Zhu. 2016a. Asymptotics in directed exponential random graph models with an increasing bi-degree sequence. The Annals of Statistics 44 (1):31–57. doi:10.1214/15-AOS1343.
  • Yan, T., H. Qin, and H. Wang. 2016b. Asymptotics in undirected random graph models parameterized by the strengths of vertices. Statistica Sinica 26 (1):273–93. doi:10.5705/ss.2014.180.
  • Yan, T., and J. Xu. 2013. A central limit theorem in the β-model for undirected random graphs with a diverging number of vertices. Biometrika 100 (2):519–24. doi:10.1093/biomet/ass084.
  • Zhou, Y., M. Goldberg, M. Magdon-Ismail, and W. A. Wallace. 2007. Strategies for cleaning organizational emails with an application to enron email dataset. 5th Conference of North American Association for Computatational Social Organization Science, Pittsburgh. North American Association for Computational Social and Organizational Science.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.