时 间：2019年6月25日(周二) 15：00-16：00
地 点：中北校区理科大楼A1716报告厅
题 目：Design Admissibility, Invariance and Optimality in Multiresponse Linear Models
报告人：岳荣先，上海师范大学教授
摘 要：
In many experimental situations, especially in engineering, pharmaceutical and biomedical as well as environmental research, there are more than one response to be measured for each unit. The multiresponse models play an important role in many areas of science. This work deals with optimal design problems for the multiresponse linear models. We focus on investigating the optimality, admissibility and invariance of approximate designs. Necessary and sufficient conditions are given for a design to be admissible and invariant. An Elfving's theorem for D-optimality is established for the multiresponse linear models. Several examples are given for illustration.
报告人简介：岳荣先，上海师范大学教授、博导，校学术委员会委员，校学术伦理与道德委员会主任，数理学院学术委员会主任，曾任理学院院长、党委书记。香港浸会大学博士，华东师范大学统计系博士后。长期从事蒙特卡洛方法与试验设计方面的科学研究，在高水平杂志发表多篇学术论文。主持多个国家自科基金项目。