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20171215 吴远山:The Hazard Level Set
时间:2017-12-05

题目: The Hazard Level Set

主讲:吴远山

时间:20171215 16:00-17:00

地点:明德主楼1030会议室

 

摘要: The hazard rate function plays a fundamental role in survival analysis. Its statistical inference methods have been exclusively studied. When does the hazard rate reach a particular warning level? This is a basic question of interest to the investigator but largely left to be explored in practice. We define a level set of hazard rate to address this issue and propose a kernel smoothing estimator for such a level set. In terms of the Hausdorff distance, we establish the consistency, convergence rate and asymptotic distribution of the level set estimator. The validity of the proposed confidence set, based on the bootstrap method, for the level set of hazard rate function is theoretically justified. We conduct comprehensive simulation studies to assess the finite-sample performance of the proposed method, which is further illustrated with a breast cancer study. 

 

简介:吴远山,现任武汉大学数学与统计学院副教授,博士生导师,主要从事生物统计和高维数据分析的研究工作,主持多项国家级和省部级科研项目,开设《数理统计》、《回归分析》、《生存分析》等多门本科生和研究生课程,迄今在Journal of the American Statistical AssociationBiometrikaBiometrics等国际重要统计学期刊上发表多篇学术论文。