On penalized likelihood estimation for a non-proportional hazards regression model

被引：0

作者：

Devarajan, Karthik ^{[1
]}

Ebrahirni, Nader ^{[2
]}

机构：

[1] Fox Chase Canc Ctr, Biostat & Bioinformat Dept, Philadelphia, PA 19111 USA

[2] No Illinois Univ, Div Stat, De Kalb, IL 60115 USA

来源：

STATISTICS & PROBABILITY LETTERS | 2013年 / 83卷 / 07期

关键词：

Censored survival data analysis; Crossing hazards; Proportional hazards; Spline; Penalized likelihood;

D O I：

10.1016/j.spl.2013.03.007

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：

In this paper, a semi-parametric generalization of the Cox model that permits crossing hazard curves is described. A theoretical framework for estimation in this model is developed based on penalized likelihood methods. It is shown that the optimal solution to the baseline hazard, baseline cumulative hazard and their ratio are hyperbolic splines with knots at the distinct failure times. (c) 2013 Elsevier B.V. All rights reserved.

引用

页码：1703 / 1710

页数：8

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