On Exponential Random Graph Models with Dyadic Independence

Fuente: arXiv
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Autore principale: Sadeghi, Kayvan
Natura: Preprint
Pubblicazione: 2025
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author Sadeghi, Kayvan
author_facet Sadeghi, Kayvan
contents We show that the only exponential random graph model with n nodal parameters, dyads being independent, and the natural assumption of permutation-equivariant nodal parametrization is the \b{eta} model. In addition, we show that an exponential random graph model with similar assumptions but with fewer than n block parameters is the additive stochastic block model. We also provide similar results for directed networks
format Preprint
id arxiv_https___arxiv_org_abs_2506_20458
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Exponential Random Graph Models with Dyadic Independence
Sadeghi, Kayvan
Statistics Theory
We show that the only exponential random graph model with n nodal parameters, dyads being independent, and the natural assumption of permutation-equivariant nodal parametrization is the \b{eta} model. In addition, we show that an exponential random graph model with similar assumptions but with fewer than n block parameters is the additive stochastic block model. We also provide similar results for directed networks
title On Exponential Random Graph Models with Dyadic Independence
topic Statistics Theory
url https://arxiv.org/abs/2506.20458