论文标题
广义U统计和加权随机图的正常近似
Normal approximation for generalized U-statistics and weighted random graphs
论文作者
论文摘要
我们在Wasserstein距离中得出了正常的近似界限，以获得加权U统计量的总和，这是基于对任意分布的独立随机变量功能的一般距离结合。这些边界应用于ERDőS-Rényi随机图中子图的组合权重的正常近似，将[1]的图计数结果扩展到图形加权的设置。我们的方法依赖于独立随机序列功能的一般随机分析框架。
We derive normal approximation bounds in the Wasserstein distance for sums of weighted U-statistics, based on a general distance bound for functionals of independent random variables of arbitrary distributions. Those bounds are applied to normal approximation for the combined weights of subgraphs in the Erdős-Rényi random graph, extending the graph counting results of [1] to the setting of graph weighting. Our approach relies on a general stochastic analytic framework for functionals of independent random sequences.
