Robust estimation for the Cox regression model based on trimming

被引:17
作者
Farcomeni, Alessio [2 ,3 ]
Viviani, Sara [1 ,4 ]
机构
[1] Univ Roma La Sapienza, Dept Stat, Rome, Italy
[2] Univ Roma La Sapienza, Dept Publ Hlth & Infect Dis, Rome, Italy
[3] Univ Hawaii, Dept Publ Hlth Sci, Honolulu, HI 96822 USA
[4] Univ Hawaii, Sch Nursing & Dent Hyg, Honolulu, HI 96822 USA
关键词
Cox model; Hepatic encephalopathy; Outliers; Robustness; Trimming; RESIDUALS; DIAGNOSTICS;
D O I
10.1002/bimj.201100008
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We propose a robust Cox regression model with outliers. The model is fit by trimming the smallest contributions to the partial likelihood. To do so, we implement a Metropolis-type maximization routine, and show its convergence to a global optimum. We discuss global robustness properties of the approach, which is illustrated and compared through simulations. We finally fit the model on an original and on a benchmark data set.
引用
收藏
页码:956 / 973
页数:18
相关论文
共 46 条
[1]   COX REGRESSION-MODEL FOR COUNTING-PROCESSES - A LARGE SAMPLE STUDY [J].
ANDERSEN, PK ;
GILL, RD .
ANNALS OF STATISTICS, 1982, 10 (04) :1100-1120
[2]  
Andrews D. F., 1985, Data: A Collection of Problems from Many Fields for the Student and Research Worker
[3]  
[Anonymous], 2003, Modelling Survival Data in Medical Research
[4]  
[Anonymous], 1980, IDENTIFICATION OUTLI, DOI DOI 10.1007/978-94-015-3994-4
[5]  
Becker C, 1999, J AM STAT ASSOC, V94, P947
[6]   Robustness and efficiency of Sasieni-type estimators in the Cox model [J].
Bednarski, T ;
Nowak, M .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2003, 115 (01) :261-272
[7]  
BEDNARSKI T, 1993, SCAND J STAT, V20, P213
[8]  
Bednarski T., 1993, Australian J. Statist., V35, P141
[9]  
Bednarski T., 2006, COXROBUST ROBUST EST
[10]  
Bednarski T., 1989, Statistics and Decisions, V7, P215, DOI [10.1524/strm.1989.7.3.215, DOI 10.1524/STRM.1989.7.3.215, DOI 10.1524/strm.1989.7.3.215]