Temporal Configuration Model: Statistical Inference and Spreading Processes

Fuente: arXiv
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Autori principali: Le, Thien-Minh, Hambridge, Hali, Onnela, Jukka-Pekka
Natura: Preprint
Pubblicazione: 2024
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author Le, Thien-Minh
Hambridge, Hali
Onnela, Jukka-Pekka
author_facet Le, Thien-Minh
Hambridge, Hali
Onnela, Jukka-Pekka
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_12175
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Temporal Configuration Model: Statistical Inference and Spreading Processes
Le, Thien-Minh
Hambridge, Hali
Onnela, Jukka-Pekka
Methodology
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.
title Temporal Configuration Model: Statistical Inference and Spreading Processes
topic Methodology
url https://arxiv.org/abs/2407.12175