Confidence intervals for the first crossing point of two hazard functions

Lifetime Data Analysis

Volumn 15, Issue 4, 2009, Pages 441-454

  Cheng, Ming Yen ^a,b   Qiu, Peihua ^c   Tan, Xianming ^d   Tu, Dongsheng ^d  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^c UNIVERSITY OF MINNESOTA   (United States)

^d Institut national du cancer du Canada   (Canada)

Author keywords

Clinical trials; Crossing point; Hazard functions; Kernel estimates; Undersmoothing bandwidth

Indexed keywords

ALGORITHM; ARTICLE; CLINICAL TRIAL; CONFIDENCE INTERVAL; MONTE CARLO METHOD; PROPORTIONAL HAZARDS MODEL; STATISTICAL MODEL; STATISTICS;

ALGORITHMS; CLINICAL TRIALS AS TOPIC; CONFIDENCE INTERVALS; LIKELIHOOD FUNCTIONS; MONTE CARLO METHOD; PROPORTIONAL HAZARDS MODELS;

EID: 70450231691     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10985-009-9132-6     Document Type: Article

References (20)

1. Abrahamowicz M, MacKenzie TA (2007) Joint estimation of time-dependent and non-linear effects of continuous covariates on survival. Stat Med 26(2): 392-408.
2. Abrahamowicz M, MacKenzie T, Esdaile J (1996) Time-dependent hazard ratio: modeling and hypothesis testing with application in lupus nephritis. J Am Stat Assoc 91(436): 1432-1439.
3. Anderson JA, Senthilselvan A (1982) A two-step regression model for hazard functions. Appl Stat 31(1): 44-51.
4. Brookmeyer R, Crowley JA (1982) confidence interval for the median survival time. Biometrics 38(1): 29-41.
5. Cheng MY, Hall P, Tu D (2006) Confidence bands for hazard rate under random censorship. Biometrika 93(2): 357-366.
6. Cote R, Battista RN, Abrahamowicz M, Langlois Y, Bourque F, Mackey A (1995) Lack of effect of Aspirin in asymptomatic patients with Carotid Bruits and substantial Carotid Narrowing. Ann Intern Med 123(9): 649-655.
7. Fleming TR, O'Fallon JR, O'Brien PC, Harrington DP (1980) Modified Kolmogorov-Smirnov test procedures with application to arbitrarily right-censored data. Biometrics 36(4): 607-625.
8. Hall P (1992) Effect of bias estimation on coverage accuracy of bootstrap confidence intervals for a probability density. Ann Stat 20(2): 675-694.
9. Hastie T, Tibshirani R (1993) Varying coefficient models (with discussion). J Royal Stat Soc B 55(4): 757-796.
10. Hess KR, Serachitopol DM, Brown BW (1999) Hazard function estimators: a simulation study. Stat Med 18(22): 3075-3088.
11. Kooperberg C, Stone CJ, Truong YK (1995) Hazard regression. J Am Stat Assoc 90(429): 78-94.
12. Lai TL, Su Z (2006) Confidence intervals for survival quantiles in the Cox regression model. Lifetime Data Anal 12(4): 407-419.
13. Lin X, Wang H (2004) A new testing approach for comparing the overall homogeneity of survival curves. Biometr J 46(5): 489-496.
14. Liu K, Qiu P, Sheng J (2007) Comparing two crossing hazard rates by Cox proportional hazards modeling. Stat Med 26(2): 375-391.
15. Mantel N, Stablein DM (1988) The crossing hazard function problem. Statistician 37(1): 59-64.
16. Moreau T, Maccario J, Lellouch J, Huber C (1992) Weighted log rank statistics for comparing two distributions. Biometrika 79(1): 195-198.
17. Ramlau-Hansen H (1993) Smoothing counting process intensities by means of kernel functions. Ann Stat 11(2): 453-466.
18. Remontet L, Bossard N, Belot A, Esteve J, The French network of cancer registries FRANCIM (2007) An overall strategy based on regression models to estimate relative survival and model the effects of prognostic factors in cancer survival studies. Stat Med 26(10): 2214-2228.
19. Shao J, Tu D (1995) The jackknife and bootstrap. Springer, New York.
20. Tu D (2007) Under-smoothed kernel confidence intervals for the hazard ratio based on censored data. Biometric J 49(3): 474-483.