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The Cox Proportional Hazards Model

2016
The proportional hazards (PH) or Cox model holds on E, if the hazard rate has the form $$\begin{aligned} \lambda _{x(\cdot )}(t) = r\{x(t)\} \;\lambda _0(t), \quad x(\cdot ) \in E, \end{aligned}$$ where \(\lambda _0(\cdot )\) is an unspecified baseline hazard rate function , and \(r(\cdot )\) is a positive function on E. The function \(r(\cdot )\
Mikhail Nikulin, Hong-Dar Isaac Wu
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Cox Proportional Hazards Regression Model

2001
The Cox proportional hazards model 132 is the most popular model for the analysis of survival data. It is a semiparametric model; it makes a parametric assumption concerning the effect of the predictors on the hazard function, but makes no assumption regarding the nature of the hazard function λ(t) itself.
F. Harrell
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Clinical effect of early bisphosphonate treatment for pyogenic vertebral osteomyelitis with osteoporosis: An analysis by the Cox proportional hazard model.

The spine journal, 2019
BACKGROUND CONTEXT Patients with pyogenic vertebral osteomyelitis (PVO) are expected to have an increased risk of bone loss. Therefore, early bisphosphonate therapy would be clinically effective for PVO patients with osteoporosis.
Jihye Kim   +4 more
semanticscholar   +1 more source

A single‐index threshold Cox proportional hazard model for identifying a treatment‐sensitive subset based on multiple biomarkers

Statistics in Medicine, 2018
In this paper, we introduce a single‐index threshold Cox proportional hazard model to select and combine biomarkers to identify patients who may be sensitive to a specific treatment.
Ye He, Huazhen Lin, D. Tu
semanticscholar   +1 more source

Functional Form Diagnostics for Cox's Proportional Hazards Model

Biometrics, 2004
Summary. We propose a new type of residual and an easily computed functional form test for the Cox proportional hazards model. The proposed test is a modification of the omnibus test for testing the overall fit of a parametric regression model, developed byStute, González Manteiga, and Presedo Quindimil(1998,Journal of the American Statistical ...
León, Larry F., Tsai, Chih-Ling
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Mediation analysis for mixture Cox proportional hazards cure models

Statistical Methods in Medical Research, 2021
Mediation analysis aims to decompose a total effect into specific pathways and investigate the underlying causal mechanism. Although existing methods have been developed to conduct mediation analysis in the context of survival models, none of these methods accommodates the existence of a substantial proportion of subjects who never experience the ...
Xiaoxiao Zhou, Xinyuan Song
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Random weighting method for Cox’s proportional hazards model

Science in China Series A: Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui, Wenquan   +3 more
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Models of Cox’s Proportional Hazards

Mathematica Applicanda, 2011
The paper presents Cox proportional hazards model, its properties and methods of its parameters estimation. It is widely applicable in survival analysis – in prediction of survival chances of some objects (usually patients in medical studies). The essential advantage of the model is allowing of incomplete data, which often appear in studies – both in ...
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Survival analysis via cox proportional hazards additive models

Encyclopedia with Semantic Computing and Robotic Intelligence, 2017
The Cox proportional hazards model is commonly used to examine the covariate-adjusted association between a predictor of interest and the risk of mortality for censored survival data. However, it assumes a parametric relationship between covariates and mortality risk though a linear predictor.
Lu Bai, Daniel Gillen
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