Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
권호 표지
DOI QR코드

DOI QR Code

Confidence Intervals for the Median Survival Time under Proportional Censorship

  • Jeong, Seong-Hwa (Department of Statistics, Kyungpook National University) ;
  • Cho, Kil-Ho (Department of Statistics, Kyungpook National University)
  • Published : 2002.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we demonstrate the more accurate confidence intervals for median survival time under the simple proportional hazard model of Koziol and Green (1976) via the Edgeworth expansion for the distribution of the studentized ACL estimator derived in Jeong (2000). The numerical results show that the intervals, so-called test-based and reflect intervals (Slud et al., 1984), outperform normal approximating method in the small sample sizes and/or heavy censoring.

Keywords

References

  1. Conference of Young Scientists On Some Estimates of the Distribution Function under Random Censorship Abdushukurov, A. A.
  2. Journal of the Royal Statistical Society, Ser. A v.122 The Comparison of Survival Curves Armitage, P. https://doi.org/10.2307/2342794
  3. Biometrics v.38 A confidence Interval for the Median Survival Time Brookmeyer, R.;Crowley, J. https://doi.org/10.2307/2530286
  4. Technical Report B-84-5 Maximum Likelihood Estimation of Survival Function under the Koziol-Green Proportional Hazard Model Cheng, P. E.;Lin, G. D.
  5. Statistics and Probability Letters v.5 Maximum Likelihood Estimation of Survival Function under Koziol-Green Proportional Hazard Model Cheng, P. E.;Lin, G. D. https://doi.org/10.1016/0167-7152(87)90030-7
  6. The Korean Communications in Statistics v.7 Edgeworth Expansion and Bootstrap Approximation for Survival Function Under Koziol-Green Model Cho, K. H.;Jeong, S. H.
  7. Journal of the American Statistical Association v.76 Censored data and the Bootstrap Efron, B. https://doi.org/10.2307/2287832
  8. Biometrics v.38 Nonparametric Confidence Intervals for the Median in the Presence of Right Censoring Emerson, J.
  9. Biometrika v.72 Repeated Confidence Intervals for the Median Survival Time Jennison, C.;Turnbull, B. W. https://doi.org/10.1093/biomet/72.3.619
  10. Ph. D. Dissertation of Kyungpookl National University Edgeworth Expansion for Survival Function in Koziol-Green Model Jeong, S. H.
  11. Journal of the American Statistical Association v.53 Nonparametric Estimation from Incomplete Observations Kaplan, E. L.;Meier, P. https://doi.org/10.2307/2281868
  12. Biometrika v.63 A Cramer-von Mises Statistic for Randomly Censored Data Koziol, J. A.;Green, S. B.
  13. Statistica Sinica v.3 Edgeworth Expansions for Symmetric Statistics with Applications to Bootstrap Methods Lai, T. L.;Wang, J. Q.
  14. Biometrics v.40 A Comparison of Reflected versus Test-Based Confidence Intervals for the Median Survival Time Based on Censored Data Slud, E. V.;Byar, D. P.;Green, S. B. https://doi.org/10.2307/2530903
  15. Journal of the American Statistical Association v.92 Accurate Bootstrap Confidence Limits for the Cumulative Hazard and Survival Functions under Random Censoring Strawderman, R. L.;Wells, M. T. https://doi.org/10.2307/2965406
  16. Biometrics v.53 Accurate Confidence Limits for Quantiles under Random Censoring Strawderman, R. L.;Parzen, M. I.;Wells, M. T. https://doi.org/10.2307/2533506