報告題目：Composite Estimating Equation Method for the Accelerated Failure Time Model with Length-biased Sampling Data
報告摘要： 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.
主講人：邱志平
報告時間：2019年3月15日 10:30
報告地點：精工樓7-104
個人簡介：邱志平博士 ，華僑大學統計學院/現代九乐棋牌與大數據研究中心副教授 ，碩士生導師。2014 年獲上海財經大學經濟學博士學位。2014年6月至2014年9月曾赴香港城市大學管理科學系交流訪問 。2014年至2016年期間曾多次訪問中國科學院大學數學與系統九乐棋牌游戏院 。2016 年11月至2018 年6月在美國Emory大學生物統計與生物信息系從事博士後研究 。主要從事生存分析、缺失數據、半參數與非參數計量模型、超高維醫學影像數據等方面的研究工作。至今已在國際統計學一級雜誌《Scandinavian Journal of Statistics》、《Statistica Sinica》、《Journal of Multivariate Analysis》、《Computational Statistics and Data Analysis》學術期刊上發表十多篇學術論文 。先後主持或主要參加了國家自然科學基金項目、福建省自科學基金面上項目等8項 。擔任中國現場統計研究會資源與環境統計分會理事、中國工業統計學會教學研究會理事 。曾獲2015年度上海財經大學研究生優秀博士學位論文、2015年度首屆全國高校數學微課程教學設計競賽華東賽區一等獎、2015年華僑大學第四屆青年老師精彩一堂課競賽三等獎等獎項。