报告题目:Composite Estimating Equation Method for the Accelerated Failure Time Model with Length-biased Sampling Data
报告摘要: Length-biased sampling data are often encountered in the studies of economics, industrial reliability, epidemiology, genetics and cancer screening. The complication of this type of data is due to the fact that the observed lifetimes suffer from left truncation and right censoring, where the left truncation variable has a uniform distribution. In the Cox proportional hazards model, Huang & Qin (Journal of the American Statistical Association, 107, 2012, p. 107) proposed a composite partial likelihood method which not only has the simplicity of the popular partial likelihood estimator, but also can be easily performed by the standard statistical software. The accelerated failure time model has become a useful alternative to the Cox proportional hazards model. In this paper, by using the composite partial likelihood technique, we study this model with length-biased sampling data. The proposed method has a very simple form and is robust when the assumption that the censoring time is independent of the covariate is violated. To ease the difficulty of calculations when solving the non-smooth estimating equation, we use a kernel smoothed estimation method (Heller; Journal of the American Statistical Association, 102, 2007, p. 552). Large sample results and a re-sampling method for the variance estimation are discussed. Some simulation studies are conducted to compare the performance of the proposed method with other existing methods. A real data set is used for illustration.
主讲人:邱志平
报告时间:2019年3月15日 10:30
报告地点:精工楼7-104
个人简介:邱志平博士,华侨大学统计学院/现代应用统计与大数据研究中心副教授,硕士生导师。2014 年获上海财经大学经济学博士学位。2014年6月至2014年9月曾赴香港城市大学管理科学系交流访问。2014年至2016年期间曾多次访问中国科学院大学数学与系统科学研究院。2016 年11月至2018 年6月在美国Emory大学生物统计与生物信息系从事博士后研究。主要从事生存分析、缺失数据、半参数与非参数计量模型、超高维医学影像数据等方面的研究工作。至今已在国际统计学一级杂志《Scandinavian Journal of Statistics》、《Statistica Sinica》、《Journal of Multivariate Analysis》、《Computational Statistics and Data Analysis》学术期刊上发表十多篇学术论文。先后主持或主要参加了国家自然科学基金项目、福建省自科学基金面上项目等8项。担任中国现场统计研究会资源与环境统计分会理事、中国工业统计学会教学研究会理事。曾获2015年度上海财经大学研究生优秀博士学位论文、2015年度首届全国高校数学微课程教学设计竞赛华东赛区一等奖、2015年华侨大学第四届青年老师精彩一堂课竞赛三等奖等奖项。