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Existence of maximum likelihood estimates in exponential random graph models
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Existence of maximum likelihood estimates in exponential random graph models
classification
math.ST
math.OCmath.PRstat.TH
keywords
exponentialgraphlikelihoodmaximummodelsrandomconvexergms
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We present a streamlined proof of the foundational result in the theory of exponential random graph models (ERGMs) that the maximum likelihood estimate exists if and only if the target statistic lies in the relative interior of the convex hull of the set of realizable statistics. .
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