Competing risk and the cox proportional hazard model

Journal article (2006)

Authors

R.M. Cooke OLD Operations Research and Risk Analysis
O. Morales Napoles OLD Operations Research and Risk Analysis
Research Group
OLD Operations Research and Risk Analysis
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Published Date

2006

Language

Undefined/Unknown

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Research Group

OLD Operations Research and Risk Analysis

Abstract

We propose a heuristic for evaluating model adequacy for the Cox proportional hazard model by comparing the population cumulative hazard with the baseline cumulative hazard. We illustrate how recent results from the theory of competing risk can contribute to analysis of data with the Cox proportional hazard model. A classical theorem on independent competing risks allows us to assess model adequacy under the hypothesis of random right censoring, and a recent result on mixtures of exponentials predicts the patterns of the conditional subsurvival functions of random right censored data if the proportional hazard model holds.

Keywords: Competing risk; Relative risk; Cox proportional hazard; Censoring; Model adequacy