# Exponential Random Graph Models

Exponential random graph models (ERGMs) are a family of statistical models for analyzing data about social and other networks by directly modeling network structures and features. These models represent a probability distribution on each possible network on a given number of nodes and the distribution is in exponential family.

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 Main image credit: Ran He. Image plotted using R. Private file; permission to use image granted by author. Background image credit: Nicoguaro. Pi 30K.gif. Monte Carlo method applied to approximating the value of π. After placing 30,000 random points, the estimate for π is within 0.07% of the actual value. Wikimedia Commons. CC BY 3.0. ScienceOpen disciplines: Social & Information networks, Statistics, Mathematical modeling & Computation Keywords: Social Networks, Graphs, Exponential Family, Markov Chain Monte Carlo DOI: 10.14293/S2199-1006.1.SOR-STAT.CLP5UNN.v1