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Confidence intervals for the ratio of two median residual lifetimes with left-truncated and right-censored data

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  • Tsung-Hsien Tsai
  • Wei-Yann Tsai
  • Yunchan Chi
  • Sheng-Mao Chang

Abstract

type="main" xml:lang="en"> The confidence intervals for the ratio of two median residual lifetimes are developed for left-truncated and right-censored data. The approach of Su and Wei (1993) is first extended by replacing the Kaplan–Meier survival estimator with the estimator of the conditional survival function (Lynden-Bell, 1971). This procedure does not involve a nonparametric estimation of the probability density function of the failure time. However, the Su and Wei type confidence intervals are very conservative even for larger sample size. Therefore, this article proposes an alternative confidence interval for the ratio of two median residual lifetimes, which is not only without nonparametric estimation of the density function of failure times but is also computationally simpler than the Su and Wei type confidence interval. A simulation study is conducted to examine the accuracy of these confidence intervals and the implementation of these confidence intervals to two real data sets is illustrated.

Suggested Citation

  • Tsung-Hsien Tsai & Wei-Yann Tsai & Yunchan Chi & Sheng-Mao Chang, 2016. "Confidence intervals for the ratio of two median residual lifetimes with left-truncated and right-censored data," Biometrics, The International Biometric Society, vol. 72(1), pages 232-241, March.
    • Handle: RePEc:bla:biomet:v:72:y:2016:i:1:p:232-241
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    Cited by:

    1. Yimeng Liu & Liwen Wu & Gong Tang & Abdus S. Wahed, 2023. "A series of two-sample non-parametric tests for quantile residual life time," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 29(1), pages 234-252, January.

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