Variable Selection in Partially Linear Proportional Hazards Model with Grouped Covariates and a Diverging Number of Parameters

2020 ◽  
pp. 411-448
Author(s):  
Arfan Raheen Afzal ◽  
Xuewen Lu
Keyword(s):  
Variable Selection ◽  
Proportional Hazards ◽  
Proportional Hazards Model ◽  
Partially Linear ◽  
Hazards Model ◽  
Diverging Number Of Parameters

A unified approach to variable selection for Cox’s proportional hazards model with interval-censored failure time data

2021 ◽  
pp. 096228022110092
Author(s):  
Mingyue Du ◽  
Hui Zhao ◽  
Jianguo Sun
Keyword(s):  
Variable Selection ◽  
Proportional Hazards ◽  
Proportional Hazards Model ◽  
Failure Time ◽  
Significant Feature ◽  
Failure Time Data ◽  
Time Data ◽  
Hazards Model ◽  
Interval Censored ◽  
Cox's Proportional Hazards Model

Cox’s proportional hazards model is the most commonly used model for regression analysis of failure time data and some methods have been developed for its variable selection under different situations. In this paper, we consider a general type of failure time data, case K interval-censored data, that include all of other types discussed as special cases, and propose a unified penalized variable selection procedure. In addition to its generality, another significant feature of the proposed approach is that unlike all of the existing variable selection methods for failure time data, the proposed approach allows dependent censoring, which can occur quite often and could lead to biased or misleading conclusions if not taken into account. For the implementation, a coordinate descent algorithm is developed and the oracle property of the proposed method is established. The numerical studies indicate that the proposed approach works well for practical situations and it is applied to a set of real data arising from Alzheimer’s Disease Neuroimaging Initiative study that motivated this study.

Partially linear single-index proportional hazards model with current status data

2016 ◽  
Vol 151 ◽  
pp. 14-36 ◽  
Author(s):  
Xuewen Lu ◽  
Pooneh Pordeli ◽  
Murray D. Burke ◽  
Peter X.-K. Song
Keyword(s):  
Proportional Hazards ◽  
Proportional Hazards Model ◽  
Current Status Data ◽  
Current Status ◽  
Single Index ◽  
Partially Linear ◽  
Hazards Model ◽  
Status Data
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