主讲人：李正帮（华中师范大学副教授）

题目：A Stationary Bootstrap Test about Two Mean Vectors Comparison with Somewhat Dense Differences and Fewer Sample Size than Dimension

时间：2020年11月20日下午16：00

地点：行政楼二楼多功能会议室

摘要：Two sample mean vectors comparison hypothesis testing problems often emerge in modern biostatistics. Many tests are proposed for detecting relatively dense signals with somewhat dense nonzero components in mean vectors differences. One kind of these tests is based on some quadratic forms about two sample mean vectors differences. Another kind of these tests is based on some quadratic forms about studentized version of two sample mean vectors differences. In this article, we propose a bootstrap test by adopting stationary bootstrap scheme to calculate p value of a typical test which is based on a quadratic form about studentized version of two sample mean vectors differences. Extensive simulations are conducted to compare performances of the bootstrap test with other existing typical tests. We also apply the bootstrap test to a real genetic data analysis about breast cancer.

李正帮教授简介

华中师范大学数学与统计学学院副教授，博士生导师。中国现场统计研究会资源与环境统计分会理事，中国现场统计研究会高维数据统计分会理事，中国现场统计研究会计算统计分会理事。主持国家自然科学基金等各级科研项目多项。曾在美国宾夕法尼亚大学生物统计系从事博士后研究。研究领域为数理统计及其应用，主要包括临床试验、诊断医学及遗传关联等领域的统计理论、方法与应用。发表科研论文近20篇。