Semiparametric transformation models for point processes

Journal of the American Statistical Association

Volumn 96, Issue 454, 2001, Pages 620-628

  Lin, D Y ^a   Wei, L J ^b   Ying, Z ^c  

^a IL   (United States)

^b HARVARD UNIVERSITY   (United States)

^c Och Spine at New York Presbyterian Hospitals   (United States)

Author keywords

Counting process; Intensity model; Proportional hazards; Proportional means; Recurrent events; Survival data

Indexed keywords

EID: 1542573442     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1198/016214501753168299     Document Type: Article

References (15)

1. 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.
2. Cheng, S. C., Wei, L. J., and Ying, Z. (1995), “Analysis of Transformation Models With Censored Data,” Biometrika, 82, 835–845.
3. Cheng, S. C., Wei, L. J., and Ying, Z. (1997), “Predicting Survival Probabilities With Semiparametric Transformation Models,” Journal of the American Statistical Association, 92, 227–235.
4. Dabrowska, D. M., and Doksum, K. A. (1988a), “Partial Likelihood in Transformation Models With Censored Data,” Scandinavian Journal of Statistics, 15, 1–23.
5. Dabrowska, D. M., and Doksum, K. A. (1988b), “Estimation and Testing in the Two-Sample Generalized Odds-Rate Model,” Journal of the American Statistical Association, 83, 744–749.
6. Goffman, C. (1965), Calculus of Several Variables, New York: Harper and Row.
7. Kalbfleisch, J. D., and Prentice, R. L. (1980), The Statistical Analysis of Failure Time Data, New York: Wiley.
8. Lawless, J. F., and Nadeau, C. (1995), “Some Simple Robust Methods for the Analysis of Recurrent Events,” Technometrics, 37, 158–168.
9. Liang, K.-Y., and Zeger, S. L. (1986), “Longitudinal Data Analysis Using Generalized Linear Models,” Biometrika, 73, 13–22.
10. Lin, D. Y., and Ying, Z. (1994), “Semiparametric Analysis of the Additive Risk Model,” Biometrika, 81, 61–71.
11. Lin, D. Y., Wei, L. J., Yang, I., and Ying, Z. (2000), “Semiparametric Regression for the Mean and Rate Function of Recurrent Events,” Journal of the Royal Statistical Society, Ser. B, in press.
12. Murphy, S. A., Rossini, A. J., and van der Vaart, A. W. (1997), “Maximum Likelihood Estimation in the Proportional Odds Model,” Journal of the American Statistical Association, 92, 968–976.
13. 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.
14. Pollard, D. (1990), Empirical Processes: Theory and Applications, Hayward, CA: Institute of Mathematical Statistics.
15. Therneau, T. M., and Hamilton, S. A. (1997), “rhDNase as an Example of Recurrent Event Analysis,” Statistics in Medicine, 16, 2029–2047.