Estimating and understanding exponential random graph models

@article{Chatterjee2013EstimatingAU,
  title={Estimating and understanding exponential random graph models},
  author={Sourav Chatterjee and Persi Diaconis},
  journal={Annals of Statistics},
  year={2013},
  volume={41},
  pages={2428-2461}
}
We introduce a method for the theoretical analysis of exponential random graph models. The method is based on a large-deviations approximation to the normalizing constant shown to be consistent using theory developed by Chatterjee and Varadhan [European J. Combin. 32 (2011) 1000-1017]. The theory explains a host of difficulties encountered by applied workers: many distinct models have essentially the same MLE, rendering the problems ``practically'' ill-posed. We give the first rigorous proofs… Expand

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