Confidence intervals for survival quantiles in the Cox regression model

Lifetime Data Analysis

Volumn 12, Issue 4, 2006, Pages 407-419

  Lai, Tze Leung ^a   Su, Zheng ^b  

^a STANFORD UNIVERSITY   (United States)

^b Stony Brook University   (United States)

Author keywords

Bootstrap; Median survival; Proportional hazards model; Test based confidence intervals and bands

Indexed keywords

ARTICLE; BIOMETRY; CONFIDENCE INTERVAL; HEART TRANSPLANTATION; HUMAN; MORTALITY; PROPORTIONAL HAZARDS MODEL; STATISTICS; SURVIVAL;

BIOMETRY; CONFIDENCE INTERVALS; HEART TRANSPLANTATION; HUMANS; PROPORTIONAL HAZARDS MODELS; SURVIVAL ANALYSIS;

EID: 39049178911     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10985-006-9024-y     Document Type: Article

References (21)

1. Andersen PK, Gill RD (1982) Cox's regression model for counting processes: a large sample study. Ann Statist 10:1100-1120
2. Andersen PK, Borgan O, Gill RD, Keiding N (1993) Statistical models based on counting processes. Springer, New York
3. Beran R, Hall P (1993) Interpolated nonparametric prediction intervals and confidence intervals. J R Stat Soc Ser B 55:643-652
4. Breslow NE (1974) Covariance analysis of censored survival data. Biometrics 30:89-99
5. Brookmeyer R, Crowley J (1982) A confidence interval for the median survival time. Biometrics 38:29-41
6. Burr D, Doss H (1993) Confidence bands for the median survival time as a function of the covariates in the Cox model. J Am Stat Assoc 88:1330-1340
7. Chen X, Hall P (1993) Smoothed empirical likelihood confidence intervals for quantiles. Ann Statist 21:1166-1181
8. Cox DR (1972) Regression models and life-tables (with discussion). J R Stat Soc Ser B 34:187-220
9. Dabrowska D, Doksum K (1987) Estimates and confidence intervals for median and mean life in the proportional hazard model. Biometrika 74:799-807
10. Efron B (1979) Bootstrap methods: another look at the jackknife. Ann Statist 7:1-21
11. Efron B, Tibshirani RJ (1993) An introduction to the bootstrap. Chapman & Hall, New York
12. Gross S, Lai TL (1996) Bootstrap methods for truncated and censored data. Statist Sin 6:509-530
13. Gu M (1992) On the Edgeworth expansion and bootstrap approximation for the Cox regression model under random censorship. Can J Statist 20:399-414
14. Hall P (1992) The bootstrap and Edgeworth expansion. Springer, New York
15. Helmers R (1991) On the Edgeworth expansion and the bootstrap approximation for a Studentized U-statistic. Ann Statist 19:470-484
16. Ho Y, Lee M (2005) Iterated smoothed bootstrap confidence intervals for population quantiles. Ann Statist 33:437-462
17. Lai TL, Wang Q (1993) Edgeworth expansions for symmetric statistics with applications to bootstrap methods. Statist Sin 3:517-542
18. Li G, Hollander M, McKeague IW, Yang J (1996) Nonparametric likelihood ratio confidence bands for quantile functions from incomplete data. Ann Statist 24:628-640
19. Miller R, Halpern J (1982) Regression with censored data. Biometrika 69:521-531
20. Strawderman RL, Parzen MI, Wells MT (1997) Accurate confidence limits for quantiles under random censoring. Biometrics 53:1399-1415
21. Tsiatis AA (1981) A large sample study of Cox's regression model. Ann Statist 9:93-108