We propose a general model that jointly characterizes degree heterogeneity and homophily in weighted, undirected networks. We present a moment estimation method using node degrees and homophily statistics. We establish consistency and asymptotic normality of our estimator using novel analysis. We apply our general framework to three applications, including both exponential family and non-exponential family models. Comprehensive numerical studies and a data example also demonstrate the usefulness of our method.

翻译：我们提出了一个通用模型,在加权、无方向的网络中,将不同程度和同质共同定性为不同程度。我们用节点度和同质统计数字提出一个瞬间估计方法。我们用新分析来确定我们估算者的一致性和无症状的正常性。我们将我们的一般框架应用于三种应用,包括指数式家庭和非穷困家庭模型。综合数字研究和一个数据实例也显示了我们方法的有用性。