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Nonparametric estimation of bivariate failure time associations in the presence of a competing risk

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  • Karen Bandeen-Roche
  • Jing Ning

Abstract

Most research on the study of associations among paired failure times has either assumed time invariance or been based on complex measures or estimators. Little has accommodated competing risks. This paper targets the conditional cause-specific hazard ratio, henceforth called the cause-specific cross ratio, a recent modification of the conditional hazard ratio designed to accommodate competing risks data. Estimation is accomplished by an intuitive, nonparametric method that localizes Kendall's tau. Time variance is accommodated through a partitioning of space into 'bins' between which the strength of association may differ. Inferential procedures are developed, small-sample performance is evaluated, and the methods are applied to the investigation of familial association in dementia onset. Copyright 2008, Oxford University Press.

Suggested Citation

  • Karen Bandeen-Roche & Jing Ning, 2008. "Nonparametric estimation of bivariate failure time associations in the presence of a competing risk," Biometrika, Biometrika Trust, vol. 95(1), pages 221-232.
    • Handle: RePEc:oup:biomet:v:95:y:2008:i:1:p:221-232
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    File URL: http://hdl.handle.net/10.1093/biomet/asm091
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    Cited by:

    1. Joanna H. Shih & Paul S. Albert, 2010. "Modeling Familial Association of Ages at Onset of Disease in the Presence of Competing Risk," Biometrics, The International Biometric Society, vol. 66(4), pages 1012-1023, December.
    2. Wang Hao & Cheng Yu, 2014. "Piecewise Cause-Specific Association Analyses of Multivariate Untied or Tied Competing Risks Data," The International Journal of Biostatistics, De Gruyter, vol. 10(2), pages 197-220, November.
    3. Jing Ning & Karen Bandeen-Roche, 2014. "Estimation of time-dependent association for bivariate failure times in the presence of a competing risk," Biometrics, The International Biometric Society, vol. 70(1), pages 10-20, March.
    4. Jeongyong Kim & Karen Bandeen-Roche, 2019. "Parametric estimation of association in bivariate failure-time data subject to competing risks: sensitivity to underlying assumptions," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 25(2), pages 259-279, April.

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