An Exponential Family of Probability Distributions for Directed Graphs
描述了一个用于分析有向图数据的指数族分布模型,给出了理论依据、特例解释、迭代拟合算法和模拟结果,并用实际数据演示了应用。
Abstract Directed graph (or digraph) data arise in many fields, especially in contemporary research on structures of social relationships. We describe an exponential family of distributions that can be used for analyzing such data. A substantive rationale for the general model is presented, and several special cases are discussed along with some possible substantive interpretations. A computational algorithm based on iterative scaling procedures for use in fitting data is described, as are the results of a pilot simulation study. An example using previously reported empirical data is worked out in detail. An extension to multiple relationship data is discussed briefly.