Piecewise Cox models with right-censored data

被引:6
|
作者
Wong, George Y. C. [1 ]
Osborne, Michael P. [2 ]
Diao, Qinggang [3 ]
Yu, Qiqing [3 ]
机构
[1] Mt Sinai Beth Israel, Dept Integrat Med, New York, NY USA
[2] Strang Canc Prevent Inst, New York, NY USA
[3] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA
关键词
Cox model; Semi-parametric MLE; Time-dependent covariates; PROPORTIONAL HAZARDS MODEL; TIME;
D O I
10.1080/03610918.2016.1255968
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We study a general class of piecewise Cox models. We discuss the computation of the semi-parametric maximum likelihood estimates (SMLE) of the parameters, with right-censored data, and a simplified algorithm for the maximum partial likelihood estimates (MPLE). Our simulation study suggests that the relative efficiency of the PMLE of the parameter to the SMLE ranges from 96% to 99.9%, but the relative efficiency of the existing estimators of the baseline survival function to the SMLE ranges from 3% to 24%. Thus, the SMLE is much better than the existing mathematics subject estimators.
引用
收藏
页码:7894 / 7908
页数:15
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