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Empirical likelihood confidence band for the difference of survival functions under proportional hazards model

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  • Zhou, Mai
  • Zhu, Shihong

Abstract

Under the stratified Cox model, an empirical likelihood based simultaneous confidence band for the difference of two individualized survival functions is proposed. Simulation studies demonstrate its superiority over the normal approximation based competitors.

Suggested Citation

  • Zhou, Mai & Zhu, Shihong, 2015. "Empirical likelihood confidence band for the difference of survival functions under proportional hazards model," Statistics & Probability Letters, Elsevier, vol. 107(C), pages 228-235.
    • Handle: RePEc:eee:stapro:v:107:y:2015:i:c:p:228-235
    DOI: 10.1016/j.spl.2015.08.016
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    References listed on IDEAS

    as
    1. McKeague, Ian W. & Zhao, Yichuan, 2002. "Simultaneous confidence bands for ratios of survival functions via empirical likelihood," Statistics & Probability Letters, Elsevier, vol. 60(4), pages 405-415, December.
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    4. Zhao, Yichuan & Zhao, Meng, 2011. "Empirical likelihood for the contrast of two hazard functions with right censoring," Statistics & Probability Letters, Elsevier, vol. 81(3), pages 392-401, March.
    5. Bin Dong & David E. Matthews, 2012. "Empirical Likelihood for Cumulative Hazard Ratio Estimation with Covariate Adjustment," Biometrics, The International Biometric Society, vol. 68(2), pages 408-418, June.
    6. Naik-Nimbalkar, U. V. & Rajarshi, M. B., 1997. "Empirical likelihood ratio test for equality of k medians in censored data," Statistics & Probability Letters, Elsevier, vol. 34(3), pages 267-273, June.
    7. Shen, Junshan & He, Shuyuan, 2006. "Empirical likelihood for the difference of two survival functions under right censorship," Statistics & Probability Letters, Elsevier, vol. 76(2), pages 169-181, January.
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