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Semiparametric efficient estimation of survival distributions in two-stage randomisation designs in clinical trials with censored data

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  • Abdus S. Wahed
  • Anastasios A. Tsiatis

Abstract

Two-stage randomisation designs are useful in the evaluation of combination therapies where patients are initially randomised to an induction therapy and then, depending upon their response and consent, are randomised to a maintenance therapy. In this paper we derive the best regular asymptotically linear estimator for the survival distribution and related quantities of treatment regimes. We propose an estimator which is easily computable and is more efficient than existing estimators. Large-sample properties of the proposed estimator are derived and comparisons with other estimators are made using simulation. Copyright 2006, Oxford University Press.

Suggested Citation

  • Abdus S. Wahed & Anastasios A. Tsiatis, 2006. "Semiparametric efficient estimation of survival distributions in two-stage randomisation designs in clinical trials with censored data," Biometrika, Biometrika Trust, vol. 93(1), pages 163-177, March.
    • Handle: RePEc:oup:biomet:v:93:y:2006:i:1:p:163-177
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    File URL: http://hdl.handle.net/10.1093/biomet/93.1.163
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    Cited by:

    1. Xinyu Tang & Abdus S. Wahed, 2011. "Comparison of treatment regimes with adjustment for auxiliary variables," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(12), pages 2925-2938, March.
    2. Abdus S. Wahed, 2010. "Inference for two‐stage adaptive treatment strategies using mixture distributions," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(1), pages 1-18, January.
    3. Yasuhiro Hagiwara & Tomohiro Shinozaki & Hirofumi Mukai & Yutaka Matsuyama, 2021. "Sensitivity analysis for subsequent treatments in confirmatory oncology clinical trials: A two‐stage stochastic dynamic treatment regime approach," Biometrics, The International Biometric Society, vol. 77(2), pages 702-714, June.

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