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

共 50 条

[41] Methods for non-proportional hazards in clinical trials: A systematic review
Bardo, Maximilian
Huber, Cynthia
Benda, Norbert
Brugger, Jonas
Fellinger, Tobias
Galaune, Vaidotas
Heinz, Judith
Heinzl, Harald
Hooker, Andrew C.
Klinglmueller, Florian
Koenig, Franz
Mathes, Tim
Mittlboeck, Martina
Posch, Martin
Ristl, Robin
Friede, Tim
[J]. STATISTICAL METHODS IN MEDICAL RESEARCH, 2024, 33 (06) : 1069 - 1092
[42] Sieve maximum likelihood estimation for the proportional hazards model under informative censoring
Chen, Xuerong
Hu, Tao
Sun, Jianguo
[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2017, 112 : 224 - 234
[43] On generalized maximum likelihood estimation in the proportional hazards model with partially informative censoring
Zhang, HM
Rao, MB
[J]. METRIKA, 2004, 59 (02) : 125 - 136
[44] Computed Tomography Image-Based Deep Survival Regression for Metastatic Colorectal Cancer Using a Non-proportional Hazards Model
Katzmann, Alexander
Muehlberg, Alexander
Suehling, Michael
Noerenberg, Dominik
Maurus, Stefan
Holch, Julian Walter
Heinemann, Volker
Gross, Horst-Michael
[J]. PREDICTIVE INTELLIGENCE IN MEDICINE (PRIME 2019), 2019, 11843 : 73 - 80
[45] A Non-Proportional Hazards Model with Hazard Ratio Functions Free from Covariate Values
Kuk, Anthony Y. C.
[J]. INTERNATIONAL STATISTICAL REVIEW, 2020, 88 (03) : 715 - 727
[46] Robust frailty modelling using non-proportional hazards models
Do Ha, Il
MacKenzie, Gilbert
[J]. STATISTICAL MODELLING, 2010, 10 (03) : 315 - 332
[47] Partial likelihood estimation of isotonic proportional hazards models
Chung, Yunro
Ivanova, Anastasia
Hudgens, Michael G.
Fine, Jason P.
[J]. BIOMETRIKA, 2018, 105 (01) : 133 - 148
[48] REGRESSION DILUTION IN THE PROPORTIONAL HAZARDS MODEL
HUGHES, MD
[J]. BIOMETRICS, 1993, 49 (04) : 1056 - 1066
[49] MODEL MISSPECIFICATION IN PROPORTIONAL HAZARDS REGRESSION
ANDERSON, GL
FLEMING, TR
[J]. BIOMETRIKA, 1995, 82 (03) : 527 - 541
[50] On the estimation of modal matrices with non-proportional damping
Naylor, S
Cooper, JE
Wright, JR
[J]. PROCEEDINGS OF THE 15TH INTERNATIONAL MODAL ANALYSIS CONFERENCE - IMAC, VOLS I AND II, 1997, 3089 : 1371 - 1378

← 1 2 3 4 5 →