Home Sociology Exponential Random Graph Models for Social Networks Theory, Methods, and Applications
Dependence Graphs and Sufficient Statistics
Johan Koskinen and Galina Daraganova
This chapter is written for those interested in a more detailed understanding of how assumptions regarding various forms of dependence can be formalized. What is treated here is not essential for applying exponential random graph models (ERGMs) and may be skipped at a first reading. The general idea, laid down by Frank and Strauss (1986), is nevertheless crucial to the formulation of statistical models treated in this book.
Important key points in this chapter are as follows:
In this chapter, we focus on models for undirected graphs. Dependence graphs for directed models are a natural extension of what we describe here, but we only discuss them briefly.
Figure 7.1. Tie-variables of (a) four-node graph and (b) associated Bernoulli dependence graph.
|< Prev||CONTENTS||Next >|