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Kaplan-Meier representation of competing risk estimates

Author

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  • Satten, Glen A.
  • Datta, Somnath

Abstract

A novel representation for the nonparametric maximum likelihood estimator (NPMLE) of the failure time distributions in the competing risks problem with right-censored data is derived. This representation shows that the NPMLE can be calculated by a Kaplan-Meier survival function for each failure type, where an appropriate fraction of the censored observations contribute to each risk set.

Suggested Citation

  • Satten, Glen A. & Datta, Somnath, 1999. "Kaplan-Meier representation of competing risk estimates," Statistics & Probability Letters, Elsevier, vol. 42(3), pages 299-304, April.
    • Handle: RePEc:eee:stapro:v:42:y:1999:i:3:p:299-304
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    Cited by:

    1. Somnath Datta & Glen A. Satten & Susmita Datta, 2000. "Nonparametric Estimation for the Three-Stage Irreversible Illness–Death Model," Biometrics, The International Biometric Society, vol. 56(3), pages 841-847, September.
    2. Bandyopadhyay, Dipankar & Jácome, M. Amalia, 2016. "Comparing conditional survival functions with missing population marks in a competing risks model," Computational Statistics & Data Analysis, Elsevier, vol. 95(C), pages 150-160.

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