On Exchangeability in Network Models Special Volume in honor of memory of S.E.Fienberg de Finetti’s theorem graphons M ?obius simplex finite exchangeability positive semidefinite functions 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. Lauritzen, Steffen Rinaldo, Alessandro Sadeghi, Kayvan 2019 2019-04-12 Article application/pdf islandora:1007794 http://hdl.handle.net/10560/islandora:1007794 MATH / Applied Mathematics Illinois Institute of Technology Journal of Algebraic Statistics en Open Access