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When the degree sequence is a sufficient statistic
Authors:Vill? Csiszár  Péter Hussami  János Komlós  Tamás F Móri  Lídia Rejt?  Gábor Tusnády
Institution:1. E?tv?s Loránd University, Budapest, Hungary
2. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary
3. Department of Mathematics, Rutgers University, New Brunswick, New Jersey, USA
4. Statistics Program, FREC, CANR, University of Delaware, Newark, Delaware, USA
Abstract:There is a uniquely defined random graph model with independent adjacencies in which the degree sequence is a sufficient statistic. The model was recently discovered independently by several authors. Here we join to the statistical investigation of the model, proving that if the degree sequence is in the interior of the polytope defined by the Erd?s–Gallai conditions, then a unique maximum likelihood estimate exists.
Keywords:
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