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Non‐parametric Tests for Recurrent Events under Competing Risks

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  • JEAN‐YVES DAUXOIS
  • SOPHIE SENCEY

Abstract

. We consider a data set on nosocomial infections of patients hospitalized in a French intensive care facility. Patients may suffer from recurrent infections of different types and they also have a high risk of death. To deal with such situations, a model of recurrent events with competing risks and a terminal event is introduced. Our aim was to compare the occurrence rates of two types of events. For this purpose, we propose two tests: one to detect if the occurrence rate of a given type of event increases with time; a second to detect if the instantaneous probability of experiencing an event of a given type is always greater than the one of another type. The asymptotic properties of the test statistics are derived and Monte Carlo methods are used to study the power of the tests. Finally, the procedures developed are applied to the French nosocomial infections data set.

Suggested Citation

  • Jean‐Yves Dauxois & Sophie Sencey, 2009. "Non‐parametric Tests for Recurrent Events under Competing Risks," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 36(4), pages 649-670, December.
    • Handle: RePEc:bla:scjsta:v:36:y:2009:i:4:p:649-670
    DOI: 10.1111/j.1467-9469.2009.00642.x
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    References listed on IDEAS

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    7. D. Y. Lin & L. J. Wei & I. Yang & Z. Ying, 2000. "Semiparametric regression for the mean and rate functions of recurrent events," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(4), pages 711-730.
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    Cited by:

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    2. Narayan Ramasubbu & Chris F. Kemerer, 2016. "Technical Debt and the Reliability of Enterprise Software Systems: A Competing Risks Analysis," Management Science, INFORMS, vol. 62(5), pages 1487-1510, May.

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