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On Exchangeability in Network Models

12 September 2017
Steffen Lauritzen
Alessandro Rinaldo
Kayvan Sadeghi
ArXiv (abs)PDFHTML
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.

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