Random graph models

A curved exponential family model for complex networks

Networks are being increasingly used to represent relational data. As the patterns of relations tends to be complex, many probabilistic models have been proposed to capture the structural properties of the process that generated the networks. Two …

statnet: Software Tools for the Representation, Visualization, Analysis and Simulation of Network Data

statnet is a suite of software packages for statistical network analysis. The packages implement recent advances in network modeling based on exponential-family random graph models (ERGM). The components of the package provide a comprehensive …

Positional Estimation Within a Latent Space Model for Networks

Recent advances in latent space and related random effects models hold much promise for representing network data. The inherent dependency between ties in a network makes modeling data of this type difficult. In this article we consider a recently …

Positional Estimation Within a Latent Space Model for Networks

Recent advances in latent space and related random effects models hold much promise for representing network data. The inherent dependency between ties in a network makes modeling data of this type difficult. In this article we consider a recently …

Assessing Degeneracy in Statistical Models of Social Networks

This paper presents recent advances in the statistical modeling of random graphs that have an impact on the empirical study of social networks. Statistical exponential family models (Wasserman and Pattison 1996) are a generalization of the Markov …

Statistical Models for Social Networks: Inference and Degeneracy

This is a paper in the 'Dynamic Social Network Modeling and Analysis', edited by R. Breiger, K. Carley, and P. Pattison. It is the result of the Committee on Human Factors, Board on Behavioral, Cognitive, and Sensory Sciences. National Academy Press: …

Degeneracy and Inference for Social Network Models

The primary objective of this paper is to describe some recent advances in the modeling of random graphs that have an impact on the representation of sexual and drug use networks. We also investigate issues related to the estimation of random graph …