Competing risk and the cox proportional hazard model

    Research output: Contribution to journalArticleScientificpeer-review

    13 Citations (Scopus)


    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
    Original languageUndefined/Unknown
    Pages (from-to)1621-1637
    Number of pages17
    JournalJournal of Statistical Planning and Inference
    Issue number5
    Publication statusPublished - 2006


    • academic journal papers
    • CWTS JFIS < 0.75

    Cite this