4 Statistical Models of Random Networks# 4.1 Inhomogeneous Erdös-Rényi Random Networks 4.2 Erdös-Rényi Random Networks 4.3 Stochastic Block Models 4.4 Random Dot Product Graphs 4.5 Positive Semi-Definite Matrices 4.7 Degree-Corrected Stochastic Block Models 4.8 Structured Independent-Edge Random Networks 4.9 Multiple Network Models 4.10 Models with Covariates Code Reproducibility contains all of the code as-provided in the manuscript for the entire section.