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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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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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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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Fifty Years with the Cox Proportional Hazards Regression Model

Journal of the Indian Institute of Science, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Assessment of local influence on Cox’s proportional hazards model

Acta Mathematicae Applicatae Sinica, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Jiancheng, Wu, Xizhi
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Transient effects in the cox proportional hazards regression model

Statistics in Medicine, 1995
AbstractWe consider a model for mortality rates that includes both the long and short term effects of switching from an initial to a second state, for example, when patients receive an initial treatment and then switch to a second treatment. We include transient effects associated with the switch in the model through the use of time‐dependent ...
E A, Mauger, R A, Wolfe, F K, Port
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Exclusive Hypothesis Testing for Cox’s Proportional Hazards Model

Journal of Systems Science and Complexity
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiang Wu, Xingwei Tong, Xiaogang Duan
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Comparing two crossing hazard rates by Cox proportional hazards modelling

Statistics in Medicine, 2006
AbstractMotivated by a clinical trial of zinc nasal spray for the treatment of the common cold, we consider the problem of comparing two crossing hazard rates. A comprehensive review of the existing methods for dealing with the crossing hazard rates problem is provided.
Kejian, Liu, Peihua, Qiu, Jun, Sheng
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Survival Analysis Cox’s Proportional Hazards Model)

2001
Abstract The San Francisco Men’s Health Study is based on a sample of 1034 single men ages 24 to 54 years. These men were recruited using a multistage prob­ ability sample and were followed from July 1984 to December 1987. Mem­ bers of the cohort were interviewed and examined every six months.
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