Exponential-Family Models of Random Graphs

M Schweinberger, PN Krivitsky, CT Butts, JR Stewart - Statistical Science, 2020 - JSTOR
Exponential-family Random Graph Models (ERGMs) constitute a large statistical framework
for modeling dense and sparse random graphs with short-or long-tailed degree distributions …

[HTML][HTML] Exponential random graph models for little networks

GGV Yon, A Slaughter, K de la Haye - Social Networks, 2021 - Elsevier
Statistical models for social networks have enabled researchers to study complex social
phenomena that give rise to observed patterns of relationships among social actors and to …

Multilevel network data facilitate statistical inference for curved ERGMs with geometrically weighted terms

J Stewart, M Schweinberger, M Bojanowski, M Morris - Social Networks, 2019 - Elsevier
Multilevel network data provide two important benefits for ERG modeling. First, they facilitate
estimation of the decay parameters in geometrically weighted terms for degree and triad …

Concentration and consistency results for canonical and curved exponential-family models of random graphs

M Schweinberger, J Stewart - The Annals of Statistics, 2020 - JSTOR
Statistical inference for exponential-family models of random graphs with dependent edges
is challenging. We stress the importance of additional structure and show that additional …

A Tale of Two Datasets: Representativeness and Generalisability of Inference for Samples of Networks

PN Krivitsky, P Coletti, N Hens - Journal of the American Statistical …, 2023 - Taylor & Francis
The last two decades have seen considerable progress in foundational aspects of statistical
network analysis, but the path from theory to application is not straightforward. Two large …

Finite mixtures of ERGMS for modeling ensembles of networks

F Yin, W Shen, CT Butts - Bayesian Analysis, 2022 - projecteuclid.org
Finite Mixtures of ERGMs for Modeling Ensembles of Networks Page 1 Bayesian Analysis (2022)
17, Number 4, pp. 1153–1191 Finite Mixtures of ERGMs for Modeling Ensembles of Networks …

Continuous time graph processes with known ERGM equilibria: Contextual review, extensions, and synthesis

CT Butts - The Journal of Mathematical Sociology, 2024 - Taylor & Francis
Graph processes that unfold in continuous time are of obvious theoretical and practical
interest. Particularly useful are those whose long-term behavior converges to a graph …

Discussion of “A Tale of Two Datasets: Representativeness and Generalisability of Inference for Samples of Networks”

NMD Niezink - Journal of the American Statistical Association, 2023 - Taylor & Francis
I congratulate the authors on their timely and insightful article. Since the advent of network
analysis, there has been the question of the meaning of sample size in a network setting …

A dynamic process interpretation of the sparse ERGM reference model

CT Butts - The Journal of Mathematical Sociology, 2019 - Taylor & Francis
Exponential family random graph models (ERGMs) can be understood in terms of a set of
structural biases that act on an underlying reference distribution. This distribution determines …

From Superdiversity to Consolidation: Implications of Structural Intersectionality for Interethnic Friendships

L Zhao - American Journal of Sociology, 2023 - journals.uchicago.edu
This study advances a theoretical framework of consolidation as a measure of structural
intersectionality and applies it to study interethnic friendships in Western European …