Statistical models of network data

This page is about statistical models for structured data in the form of graphs and complex networks generally.

Literature

For a more extensive bibliography, see Cosma Shalizi’s notebook on analysis of network data , with dedicated pages for exponential random graph models , stochastic block models , and graph limits .

Books and surveys

  • Kolaczyk, 2009: Statistical analysis of network data: Methods and models (doi)
    • Kolaczyk & Csárdi, 2014: Statistical analysis of network data with R (doi)
  • Goldenberg et al, 2010: A survey of statistical network models (doi, arxiv)
  • Crane, 2018: Probabilistic foundations of statistical network analysis (doi, online )

Graphons and graph limits

  • Glasscock, 2015, in AMS Notices: What is a graphon? (pdf, arxiv)