2022年6月28日下午15:00,我院特邀首都师范大学胡涛教授做学术报告,本次报告由数统学院院长王纯杰老师主持,学院部分老师、研究生共131人参加了本次学术报告会。
胡涛简介:首都师范大学数学科学学院教授,博士生导师。研究方向:生存分析、风能数据分析。2009年毕业于北京师范大学数学科学学院,获概率论与数理统计专业博士学位。美国University of Missouri 统计系博士后。在国内外学术刊物Journal of the American Statistical Association、Biometrika、Renewable Energy、Energy Conversion and Management、中国科学:数学等上发表学术论文多篇。
摘要:Variable selection is often needed in many fields and has been discussed by many authors in various situations. This is especially the case under linear models and when one observes complete data. Among others, one common situation where variable selection is required is to identify important risk factors from a large number of covariates. In this paper, we consider the problem when one observes interval-censored failure time data arising from generalized linear models, for which there does not seem to exist an established method. To address this, we propose a penalized least squares method with the use of an unbiased transformation and the oracle property of the method is established along with the asymptotic normality of the resulting estimators of regression parameters. Simulation studies were conducted and demonstrated that the proposed method performed well for practical situations. In addition, the method was applied to a motivating example about children’s mortality data of Nigeria.
报告会上,胡涛教授首先介绍了生存分析数据的应用背景,通过尼日利亚儿童死亡率案例详细阐述了区间删失下广义线性模型的变量选择方法、理论、算法及应用,最后介绍了此领域相关重要文献和有待进一步深入研究的问题。
胡涛教授的报告内容丰富、幽默风趣、深入浅出,给参会师生留下了非常深刻的印象。报告会结束后,胡教授同大家进行了热烈的讨论和交流。此次报告拓展了师生的学术视野,对进一步提高我院统计学学科的科研水平具有启发式的意义。
数学与统计学院
2022年6月28日