我院统计学系杨广仁老师的论文“Feature Screening in Ultrahigh Dimensional Cox`s Model ”在《Statistica Sinica》期刊发表。此期刊为统计学领域的一流期刊，在2012年的JCR分区中，属于1区，是我院的国际A3类期刊。
该文摘要为：Survival data with ultrahigh dimensional covariates, such as genetic markers, have been collected in medical studies and other fields. In this work, we propose a feature screening procedure for the Cox model with ultrahigh dimensional covariates. The proposed procedure is distinguished from existing sure independence screening (SIS) procedures (Fan, Feng, and Wu (2010); Zhao and Li (2012)) in that it is based on the joint likelihood of potential active predictors, and therefore is not a marginal screening procedure. The proposed procedure can effectively identify active predictors that are jointly dependent but marginally independent of the response without performing an iterative procedure. We develop a computationally effective algorithm to carry it out and establish its ascent property. We further prove that the proposed procedure possesses the sure screening property: with probability tending to one, the selected variable set includes the actual active predictors. We conducted Monte Carlo simulation to evaluate the finite sample performance of the proposed procedure and compare it with existing SIS procedures. The proposed methodology is also demonstrated through an empirical analysis of a data example.
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