Estimating marginal effects in accelerated failure time models for serial sojourn times among repeated events

Lifetime Data Analysis

Volumn 10, Issue 2, 2004, Pages 175-190

  Chang, Shu Hui ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Accelerated failure time (AFT) model; Log rank statistic; Recurrent event

Indexed keywords

ARTICLE; BIOMETRY; DENMARK; HUMAN; LONGITUDINAL STUDY; METHODOLOGY; MONTE CARLO METHOD; NONPARAMETRIC TEST; ONSET AGE; PATHOLOGY; RECURRENT DISEASE; SCHIZOPHRENIA; STATISTICAL ANALYSIS; STATISTICAL MODEL; TREATMENT FAILURE;

AGE OF ONSET; BIOMETRY; DATA INTERPRETATION, STATISTICAL; DENMARK; HUMANS; LONGITUDINAL STUDIES; MODELS, STATISTICAL; MONTE CARLO METHOD; RECURRENCE; SCHIZOPHRENIA; STATISTICS, NONPARAMETRIC; TREATMENT FAILURE;

EID: 3042722381     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:LIDA.0000030202.20842.c9     Document Type: Article

References (26)

1. O. O. Aalen and E. Husebye, "Statistical analysis of repeated events forming renewal processes," Stat. Med. vol. 10 pp. 1277-1240, 1991.
2. P. K. Anderson and R. D. Gill, "Cox's regression model for counting processes: A large sample study," Ann. Stat. vol. 10 pp. 1100-1120, 1982.
3. P. Billingsley, Probability and Measure, John Wiley & Sons: New York, NY, 1986.
4. I.-S. Chang and C. A. Hsiung, "Information and asymptotic efficiency in some generalized proportional hazards models for counting processes," Ann. Stat. vol. 22 pp. 1275-1298, 1994.
5. S.-H. Chang, "A two-sample comparison for multiple ordered event data," Biometrics vol. 56 pp. 183-189, 2000.
6. T. R. Fleming and D. P. Harrington, Counting Processes and Survival Analysis, John Wiley & Sons: New York, NY, 1993.
7. Y. Huang, "Censored regression with the multistate accelerated sojourn times model," J. Royal. Stat. Soc. B vol. 64 pp. 17-29, 2002.
8. J. Kalbfleisch and R. L. Prentice, The Statistical Analysis of Failure Time Data, John Wiley & Sons: Hoboken, NJ, 2002.
9. T. L. Lai and Z. Ying, "Linear rank statistics in regression analysis with censored or truncated data," Multivariate Anal. vol. 40 pp. 13-45, 1992.
10. J. F. Lawless and C. Nadeau, "Some simple robust methods for the analysis of recurrent events," Technometrics vol. 37 pp. 158-168, 1995.
11. J. F. Lawless, C. Nadeau, and R. J. Cook, "Analysis of mean and rate function for recurrent events," In Proceedings of the First Seattle Symposium in Biostatistics: Survival Analysis, Springer-Verlag: New York, NY, pp. 37-49, 1997.
12. D. Y. Lin, J. M. Robins, and L. J. Wei, "Comparing two failure time distributions in the presence of dependent censoring," Biometrika vol. 83 pp. 381-393, 1996.
13. D. Y. Lin, L. J. Wei, I. Yang, and Z. Ying, "Semiparametric regression for the mean and rate functions of recurrent events," J. Roy. Stat. Soc. B vol. 62 pp. 711-730, 2000.
14. D. Y. Lin, L. J. Wei, and Z. Ying, "Accelerated failure time models for counting processes," Biometrika vol. 85 pp. 605-618, 1998.
15. J. S. Lin and L. J. Wei, "Linear regression analysis for multivariate failure time observations," J. Amer. Stat. Assoc. vol. 87 pp. 1091-1097, 1992.
16. T. A. Louis, "Nonparametric analysis of an accelerated failure time model," Biometrika vol. 68 pp. 381-390, 1981.
17. M. I. Parzen, L. J. Wei, and Z. Ying, "A resampling method based on pivotal estimating functions," Biometrika vol. 81 pp. 341-350, 1994.
18. R. L. Prentice, B. J. Williams, and A. V. Peterson, "On the regression analysis of multivariate failure time data." Biometrika vol. 68 pp. 373-379, 1981.
19. M. S. Pepe and J. Cai, "Some graphical displays and marginal regression analysis for recurrent failure times and time dependent covariates," J. Amer. Stat. Assoc. vol. 88, pp. 811-820, 1993.
20. A. A. Tsiatis, "Estimating regression parameters using linear rank tests for censored data," Ann. Stat. vol. 18 pp. 354-72, 1990.
21. M-C Wang and S-H. Chang, "Nonparametric estimation of a recurrent survival function," J. Amer. Stat. Assoc. vol. 94 pp. 146-153, 1999.
22. M-C Wang and Y-Q. Chen, "Nonparametric and semiparametric trend analysis for stratified recurrence times," Biometrics vol. 56 pp. 789-794, 2000.
23. L. J. Wei, D. Y. Lin, and L. Weissfeld, "Regression analysis of multivariate incomplete failure time data by modeling marginal distributions," J. Amer. Stat. Assoc. vol. 84 pp. 1065-1073, 1989.
24. L. J. Wei, Z. Ying, and D. Y. Lin, "Linear regression analysis of censored survival data based on rank tests," Biometrika vol. 77 pp. 845-851, 1990.
25. X. Xue and R. Brookmeyer, "Bivariate frailty model for the analysis of multivariate survival time," Lifetime Data Anal. vol. 1 pp. 278-289, 1996.
26. Z. Ying, "A large sample study of rank estimation for censored regression data," Ann. Stat. vol. 21 pp. 76-99, 1993.