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arXiv · 1709.03885

On Exchangeability in Network Models

Steffen L. Lauritzen·Alessandro Rinaldo·Kayvan Sadeghi
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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.

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Steffen L. Lauritzen, Alessandro Rinaldo, Kayvan Sadeghi. 2017-09-12. On Exchangeability in Network Models. https://arxiv.org/abs/1709.03885

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