On Exchangeability in Network Models

Steffen L. Lauritzen; Alessandro Rinaldo; Kayvan Sadeghi

doi:10.18409/jas.v10i1.73

On Exchangeability in Network Models

Steffen L. Lauritzen, Alessandro Rinaldo, Kayvan Sadeghi

Institut for Matematiske Fag

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Abstract

We derive representation theorems for exchangeable distributions on finite and infinite graphs using elementary arguments based on geometric and graph-theoretic concepts. Our
results elucidate some of the key differences, and their implications, between statistical network
models that are finitely exchangeable and models that define a consistent sequence of probability
distributions on graphs of increasing size

Originalsprog	Engelsk
Tidsskrift	Journal of Algebraic Statistics
Vol/bind	10
Udgave nummer	1
Sider (fra-til)	85-114
ISSN	1309-3452
DOI	https://doi.org/10.18409/jas.v10i1.73
Status	Udgivet - 12 apr. 2019

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10.18409/jas.v10i1.73Licens: CC BY-NC

OA-On Exchangeability in Network ModelsForlagets udgivne version, 875 KBLicens: CC BY-NC

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On Exchangeability in Network Models

Abstract

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