Degree-sum sufficient statistic for an additive logistic network model
= Degree-sum sufficient statistic for an additive logistic network model
For independent binary edges with log odds $\beta_{z_i}+\beta_{z_j}+\beta_0\mathbf1_{\{z_i=z_j\}}$, the natural statistics are the sum of the <vertex degrees> in each class and the total number of within-class edges. They form a <minimal sufficient statistic> whenever the natural parameter space contains an open subset of $\mathbb R^{C+1}$.