English

A Separable Model for Dynamic Networks

Methodology 2015-03-24 v2

Abstract

Models of dynamic networks --- networks that evolve over time --- have manifold applications. We develop a discrete-time generative model for social network evolution that inherits the richness and flexibility of the class of exponential-family random graph models. The model --- a Separable Temporal ERGM (STERGM) --- facilitates separable modeling of the tie duration distributions and the structural dynamics of tie formation. We develop likelihood-based inference for the model, and provide computational algorithms for maximum likelihood estimation. We illustrate the interpretability of the model in analyzing a longitudinal network of friendship ties within a school.

Keywords

Cite

@article{arxiv.1011.1937,
  title  = {A Separable Model for Dynamic Networks},
  author = {Pavel N. Krivitsky and Mark S. Handcock},
  journal= {arXiv preprint arXiv:1011.1937},
  year   = {2015}
}

Comments

28 pages (including a 4-page appendix); a substantial rewrite, with many corrections, changes in terminology, and a different analysis for the example

R2 v1 2026-06-21T16:40:50.463Z