English

Temporal Configuration Model: Statistical Inference and Spreading Processes

Methodology 2024-07-18 v1

Abstract

We introduce a family of parsimonious network models that are intended to generalize the configuration model to temporal settings. We present consistent estimators for the model parameters and perform numerical simulations to illustrate the properties of the estimators on finite samples. We also develop analytical solutions for basic and effective reproductive numbers for the early stage of discrete-time SIR spreading process. We apply three distinct temporal configuration models to empirical student proximity networks and compare their performance.

Keywords

Cite

@article{arxiv.2407.12175,
  title  = {Temporal Configuration Model: Statistical Inference and Spreading Processes},
  author = {Thien-Minh Le and Hali Hambridge and Jukka-Pekka Onnela},
  journal= {arXiv preprint arXiv:2407.12175},
  year   = {2024}
}

Comments

22 pages and 2 figures

R2 v1 2026-06-28T17:43:49.165Z