Existence of maximum likelihood estimates in exponential random graph models
Statistics Theory
2023-04-07 v2 Optimization and Control
Probability
Statistics Theory
Abstract
We present a streamlined proof of the foundational result in the theory of exponential random graph models (ERGMs) that the maximum likelihood estimate exists if and only if the target statistic lies in the relative interior of the convex hull of the set of realizable statistics. .
Keywords
Cite
@article{arxiv.2204.04757,
title = {Existence of maximum likelihood estimates in exponential random graph models},
author = {Henry Bayly and Aditya Khanna and Kathryn Lindsey},
journal= {arXiv preprint arXiv:2204.04757},
year = {2023}
}
Comments
12 pages, 2 figures