报告题目：Likelihood ratio tests in random graph models

主讲人：晏挺教授（华中师范大学）

时间：2024年7月11日（周四）16:30 p.m.

地点：北院卓远楼307会议室

主办单位：统计与数学学院

摘要：In this talk, we present likelihood ratio tests in some random graph models including the beta model for undirected graphs, the Bradley-Terry model for paired companions and the p0 model for directed graphs. For two growing dimensional null hypotheses- a specified null and a homogenous null, we reveal high dimensional Wilks' phenomena that the normalized log-likelihood ratio statistic converges in distribution to a standard normal distribution when the number of being tested parameters goes to infinity. For the homogenous null with a fixed number of parameters, we establish the Wilks-type theorem that the log-likelihood ratio test converges in distribution to a chi-square distribution as the number of nodes goes to infinity.

主讲人简介：

晏挺，男，40岁，华中师范大学数学与统计学院教授。中国科学技术大学博士毕业，曾在乔治华盛顿大学做博士后研究，主要从事网络数据分析和成对比较的研究工作，主持了包含优秀青年基金项目，面上项目等多项国家自然科学基金项目，在Annals of Statistics, Journal of the American Statistical Association, Biometrika，Journal of Machine Learning Research上等发表了多篇论文。