Southwest Jiaotong University School of Mathematics


首页  >  学术科研  >  统计系  >  正文

美国Rush University助理教授王天浩博士学术报告

来源:   作者:黄磊     日期:2018-09-27 13:51:08   点击数:  

报告人简介王天浩博士,四川德阳人,本科毕业于华东师范大学数学系,在新加坡国立大学统计与应用概率系取得统计学博士学位,并在美国宾夕法尼亚大学生物统计系从事了多年的博士后研究。王博士现在是美国Rush University Medical Center的助理教授。他的研究兴趣主要包括单一指数模型,降维分析,时间序列分析,函数型数据分析,生存分析,以及上述统计方法在医学研究中的实际应用。他的研究成果多发表于一流统计学杂志,包括数理统计学顶级期刊JASA,和工业统计一流期刊Technometrics。他是美国ASAIMS会员,并现任和曾任多家SCI学术期刊的评审。



报告题目: A Piecewise Single-Index Model for Dimension Reduction

摘要In this article we propose to use different single-index models for observations in different regions of the sample space. This approach inherits the estimation efficiency of the single-index model in each region, and at the same time allows the global model to have multidimensionality in the sense of conventional dimension reduction. On the other hand, the model can be seen as an extension of CART and a piecewise linear model proposed. Modeling procedures, including identifying the region for every single-index model and estimation of the single-index models, are developed. Simulation studies and real data analysis are employed to demonstrate the usefulness of the approach. Computer code and technical details of the method are provided as supplementary material online.