Title
Feature screening in ultrahigh-dimensional varying-coefficient Cox model.
Abstract
The varying-coefficient Cox model is flexible and useful for modeling the dynamic changes of regression coefficients in survival analysis. In this paper, we study feature screening for varying-coefficient Cox models in ultrahigh-dimensional covariates. The proposed screening procedure is based on the joint partial likelihood of all predictors, thus different from marginal screening procedures available in the literature. In order to carry out the new procedure, we propose an effective algorithm and establish its ascent property. We further prove that the proposed procedure possesses the sure screening property. That is, with probability tending to 1, the selected variable set includes the actual active predictors. We conducted simulations to evaluate the finite-sample performance of the proposed procedure and compared it with marginal screening procedures. A genomic data set is used for illustration purposes.
Year
DOI
Venue
2019
10.1016/j.jmva.2018.12.009
Journal of Multivariate Analysis
Keywords
Field
DocType
62N01,62N02
Econometrics,Covariate,Proportional hazards model,Statistics,Survival analysis,Mathematics,Linear regression
Journal
Volume
ISSN
Citations 
171
0047-259X
0
PageRank 
References 
Authors
0.34
3
4
Name
Order
Citations
PageRank
Guangren Yang101.69
Ling Zhang200.34
Runze Li311220.80
Yuan Huang411.38