Frequency of Recurrent Events at Failure Time: Modeling and Inference

Journal of the American Statistical Association

Volumn 98, Issue 463, 2003, Pages 663-670

  Huang, Yijian ^a   Wang, Mei Cheng ^b  

^a Fred Hutchinson Cancer Research Center   (United States)

^b JOHNS HOPKINS BLOOMBERG SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Accelerated failure time model; Censored data; Count data; Log linear model; Log rank statistic; Marked point process; Monotone estimating function; Multivariate failure time; Nonsmooth estimating function; Proportional rates model; Semi parametric inference

Indexed keywords

EID: 0242510868     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214503000000567     Document Type: Article

References (33)

1. Abrams, D. I., Goldman, A. I., Launer, C., Korvick, J. A., Neaton, J. D., Crane, L. R., Orodesky, M., Wakefield, S., Muth, K., Kornegay, S., Cohn, D. L., Harris, A., Luskin-Hawk, R., Markowitz, N., Sampson, J. H., Thompson, M., Deyton, L., and the Terry Beirn Community Programs for Clinical Research on AIDS (1994), "A Comparative Trial of Didanosine or Zalcitabine After Treatment With Zidovudine in Patients With Human Immunodeficiency Virus Infection," New England Journal of Medicine, 330, 657-662.
2. Andersen, P. K., and Gill, R. D. (1982), "Cox's Regression Model for Counting Processes: A Large Sample Study," The Annals of Statistics, 10, 1100-1120.
3. Begun, J. M. (1987), "Estimates of Relative Risk," Metrika, 34, 65-82.
4. Buckley, J., and James, I. (1979), "Linear Regression With Censored Data," Biometrika, 66, 429-436.
5. Cheng, S. C., Wei, L. J., and Ying, Z. (1995), "Analysis of Transformation Models With Censored Data," Biometrika, 82, 835-845.
6. Cook, R. J., and Lawless, J. F. (1997), "Marginal Analysis of Recurrent Events and a Terminating Event," Statistics in Medicine, 16, 911-924.
7. Efron, B., and Tibshirani, R. J. (1993), An Introduction to the Bootstrap, New York: Chapman & Hall.
8. Fay, M. P., and Graubard, B. I. (2001), "Small-Sample Adjustments for Wald-Type Tests Using Sandwich Estimators," Biometrics, 57, 1198-1206.
9. Fygenson, M., and Ritov, Y. (1994), "Monotone Estimating Equations for Censored Data," The Annals of Statistics, 22, 732-746.
10. Ghosh, D., and Lin, D. Y. (2000), "Nonparametric Analysis of Recurrent Events and Death," Biometrics, 56, 554-562.
11. Hu, F., and Kalbfleisch, J. D. (2000), "The Estimating Function Bootstrap" (with discussion), The Canadian Journal of Statistics, 28, 449-481.
12. Huang, Y. (2000), "Two-Sample Multistate Accelerated Sojourn Times Model," Journal of the American Statistical Association, 95, 619-627.
13. _ (2002), "Calibration Regression of Censored Lifetime Medical Cost," Journal of the American Statistical Association, 97, 318-327; corr. 97, 661.
14. Huang, Y., and Louis, T. A. (1998), "Nonparametric Estimation of the Joint Distribution of Survival Time and Mark Variables," Biometrika, 85, 785-798.
15. Huang, Y., and Lovato, L. (2002), "Tests for Lifetime Utility or Cost via Calibrating Survival Time," Statistica Sinica, 12, 707-723.
16. Huang, Y., and Wang, C. Y. (2000), "Cox Regression With Accurate Covariates Unascertainable: A Nonparametric-Correction Approach," Journal of the American Statistical Association, 95, 1209-1219.
17. Huber, P. J. (1981), Robust Statistics, New York: Wiley.
18. Kalbfleisch, J. D., and Prentice, R. L. (1980), The Statistical Analysis of Failure Time Data, New York: Wiley.
19. Lancaster, T., and Intrator, O. (1998), "Panel Data With Survival: Hospitalization of HIV-Positive Patients," Journal of the American Statistical Association, 93, 46-53.
20. Lawless, J. F., and Nadeau, C. (1995), "Some Simple Robust Methods for the Analysis of Recurrent Events," Technometrics, 37, 158-168.
21. Li, Q. H., and Lagakos, S. W. (1997), "Use of the Wei-Lin-Weissfeld Method for the Analysis of a Recurring and a Terminating Event," Statistics in Medicine, 16, 925-940.
22. Lin, D. Y., and Wei, L. J. (1989), "The Robust Inference for the Cox Proportional Hazards Model," Journal of the American Statistical Association, 84, 1074-1078.
23. Lin, D. Y., Wei, L. J., Yang, I., and Ying Z. (2000), "Semiparametric Regression for the Mean and Rate Functions of Recurrent Events," Journal of the Royal Statistical Society, Ser. B, 62, 711-730.
24. Lin, D. Y., Wei, L. J., and Ying, Z. (1998), "Accelerated Failure Time Models for Counting Processes," Biometrika, 85, 605-618.
25. Neaton, J. D., Wentworth, D. N., Rhame, F., Hogan, C., Abrams, D. I., and Deyton, L. (1994), "Considerations in Choice of a Clinical Endpoint for AIDS Clinical Trials," Statistics in Medicine, 13, 2107-2125.
26. Pepe, M. S., and Cai, J. (1993), "Some Graphical Displays and Marginal Regression Analyses for Recurrent Failure Times and Time Dependent Covariates," Journal of the American Statistical Association, 88, 811-820.
27. Prentice, R. L., Williams, B. J., and Peterson, A. V. (1981), "On the Regression Analysis of Multivariate Failure Time Data," Biometrika, 68, 373-379.
28. Ritov, Y. (1990), "Estimation in a Linear Regression Model With Censored Data," The Annals of Statistics, 18, 303-328.
29. Sasieni, P. D. (1995), "Efficiently Weighted Estimating Equations With Application to Proportional Excess Hazards," Lifetime Data Analysis, 1, 49-57.
30. Tsiatis, A. A. (1990), "Estimating Regression Parameters Using Linear Rank Tests for Censored Data," The Annals of Statistics, 18, 354-372.
31. Wang, M.-C., Qin, J., and Chiang, C.-T. (2001), "Analyzing Recurrent Event Data With Informative Censoring," Journal of the American Statistical Association, 96, 1057-1065.
32. Wei, L. J., Lin, D. Y., and Weissfeld, L. (1989), "Regression Analysis of Multivariate Incomplete Failure Time Data by Modeling Marginal Distributions," Journal of the American Statistical Association, 84, 1065-1073.
33. Ying, Z. (1993), "A Large Sample Study of Rank Estimation for Censored Regression Data," The Annals of Statistics, 21, 76-99.