Marginal regression of multivariate event times based on linear transformation models

Lifetime Data Analysis

Volumn 11, Issue 3, 2005, Pages 389-404

  Lu, Wenbin ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Cluster event times; Estimating equations; Informative cluster size; Linear transformation models; Multiple events; Recurrent events

Indexed keywords

ARTICLE; MEDICAL RESEARCH; MULTIVARIATE ANALYSIS; REGRESSION ANALYSIS; STATISTICAL MODEL; UNITED STATES;

BIOMEDICAL RESEARCH; LINEAR MODELS; MULTIVARIATE ANALYSIS; REGRESSION ANALYSIS; UNITED STATES;

EID: 24144475253     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10985-005-2969-4     Document Type: Article

References (27)

1. S. Bennett, "Analysis of survival data by the proportional odds model," Statistics in Medicine vol. 2 pp. 273-277, 1983.
2. P. J. Bickel, C.A. J. Klaassen, Y.Ritov and J.A. Wellner, Efficient and Adaptive Estimation for Semiparametric Models, Johns Hopkins University Press: Baltimore, 1993.
3. D. P. Byar, "The veterans administration study of chempoprophylaxis for recurrent stage I bladder tumors: comparisons of placebo, pyridoxine, and topical thiotepa," in Bladder Tumors and Other Topics in Urological Oncology, (M. Pavone-Macaluso, P. H. Smith and F. Edsmyn, eds.) Plenum: New York, pp. 363-370, 1980.
4. K. Chen, Z.Jin and Z.Ying, "Semiparametric analysis of transformation models with censored data," Biometrika vol. 89 pp. 659-668, 2002.
5. S. C. Cheng, L.J. Wei and Z.Ying, "Analysis of transformation models with censored data," Biometrika vol. 82 pp. 835-845, 1995.
6. S. C. Cheng, L.J. Wei and Z.Ying, "Prediction of survival probabilities with semi-parametric transformation models," Journal of the American Statistical Association vol. 92 pp. 227-235, 1997.
7. D. Clayton and J.Cuzick, "Multivariate generalizations of the proportional hazards model (with Discussion)," Journal of the Royal Statistical Society Series A vol. 148 pp. 82-117, 1985.
8. D. R. Cox, "Regression models and life tables (with Discussion)," Journal of the Royal Statistical Society Series B vol. 34 pp. 187-220, 1972.
9. D. M. Dabrowska and K.A. Doksum, "Estimation and testing in the two-sample generalized odds rate model," Journal of the American Statistical Association vol. 83 pp. 744-749, 1988.
10. J. Fine, Z.Ying and L.J. Wei, "On the linear transformation model for censored data," Biometrika vol. 85 pp. 980-986, 1998.
11. E. J. Gumbel, "Bivariate exponential distribution," Journal of the American Statistical Association vol. 55 pp. 698-707, 1960.
12. E. B. Huffman, P.K. Sen and C.R. Weinberg, "Within-cluster resampling," Biometrika vol. 88 pp. 1121-1134, 2001.
13. Y. Huang and Y.Q. Chen, "Marginal regression of gaps between recurrent events," Lifetime Data Analysis vol. 9 pp. 293-303, 2003.
14. J. F. Lawless, C.Nadeau and R.J. Cook, "Analysis of mean and rate functions for recurrent events," in Proceedings of the First Seattle Symposium in Biostatistics: Survival Analysis, (D. Y. Lin and T. R. Fleming, eds.) Springer-Verlag: New York, pp. 37-49, 1997.
15. D. Y. Lin, "Cox regression analysis of multivariate failure time data: the marginal approach," Statistics in Medicine vol. 13 pp. 2233-2247, 1994.
16. D. Y. Lin, L.J. Wei, I.Yang and Z.Ying, "Robust inferences for the Andersen-Gill counting process model," Journal of the Royal Statistical Society Series B vol. 62 pp. 711-730, 2000.
17. S. A. Murphy, A.J. Rossini and A.W. van der Vaart, "Maximum likelihood estimation in the proportional odds model," Journal of the American Statistical Association vol. 92 pp. 968-976, 1997.
18. M. S. Pope and J.Cai, "Some graphical displays and marginal regression analysis for recurrent failure times and time dependent covariates," Journal of the American Statistical Association vol. 88 pp. 811-820, 1993.
19. A. N. Pettitt, "Inference for the linear model using a likelihood based on ranks," Journal of the Royal Statistical Society Series B vol. 44 pp. 234-243, 1982.
20. A. N. Pettitt, "Proportional odds model for survival data and estimates using ranks," Applied Statistics vol. 33 pp. 169-175, 1984.
21. D. Pollard, Empirical Processes: Theory and Applications, NSF-CBMS Regional Conference Series in Probability and Statistics, 2IMS: Hayward, 1990.
22. R. L. Prentice and L.Hsu, "Regression on hazards ratios and cross ratios in multivariate time analysis," Biometrika vol. 84 pp. 349-363, 1997.
23. H. Reinhard, Differential Equations: Foundations and Applications, Macmillan: New York, 1987.
24. C. F. Spiekerman and D.Y. Lin, "Marginal regression models for multivariate failure time data," Journal of the American Statistical Association vol. 93 pp. 1164-1175, 1998.
25. M. C. Wang and S.H. Chang, "Nonparametric estimation of a recurrent survival function," Journal of the American Statistical Association vol. 94 pp. 146-153, 1999.
26. L. J. Wei, D.Y. Lin and L.Weissfeld, "Regression analysis of multivariate incomplete failure time data by modelling marginal distributions," Journal of the American Statistical Association vol. 84 pp. 1065-1073, 1989.
27. J. M. Williamson, S. Datta and G. A. Satten, "Marginal analysis of clustered data when cluster size is informative," Biometrics vol. 59 pp. 36-42, 2003.