A baseline-free procedure for transformation models under interval censorship

Lifetime Data Analysis

Volumn 11, Issue 4, 2005, Pages 473-488

  Gu, Ming Gao ^a   Sun, Liuquan ^b   Zuo, Guoxin ^c  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b INSTITUTE OF APPLIED MATHEMATICS   (China)

^c CENTRAL CHINA NORMAL UNIVERSITY   (China)

Author keywords

Interval censored data; Marginal likelihood; Markov chain Monte Carlo methods; Semiparametric models; Stochastic approximation; Transformation models

Indexed keywords

ALGORITHM; ARTICLE; BREAST TUMOR; CHINA; COMPUTER SIMULATION; HUMAN; MORTALITY; PROBABILITY; PROPORTIONAL HAZARDS MODEL; STATISTICAL MODEL; SURVIVAL;

ALGORITHMS; BREAST NEOPLASMS; CHINA; COMPUTER SIMULATION; HUMANS; LIKELIHOOD FUNCTIONS; MARKOV CHAINS; PROPORTIONAL HAZARDS MODELS; SURVIVAL ANALYSIS;

EID: 27844480535     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10985-005-5235-x     Document Type: Article

References (32)

1. S. Bennett, "Analysis of survival data by the proportional odds model," Statistics in Medicine vol. 2 pp. 273-277, 1983.
2. K. Chen, Z. Jin and Z. Ying, "Semiparametric analysis of transformation models with censored data," Biometrika vol. 89 pp. 659-668, 2002.
3. H. Y. Chen and R. J. Little, "A profile conditional likelihood approach for the semiparametric transformation regression model with missing covariates," Lifetime Data Analysis vol. 7 pp. 207-224, 2001.
4. D. R. Cox, "Regression models and life tables (with Discussion)," Journal of Royal Statistical Society Series B vol. 34 pp. 187-220, 1972.
5. J. Cuzick, "Rank regression," Annals of Statistics vol. 16 pp. 1369-1389, 1988.
6. D. M. Dabrowska and K. A. Doksum, "Estimation and testing in a two-sample generalized odds-rate model," Journal of American Statistical Association vol. 83 pp. 744-749, 1988b.
7. D. M. Dabrowska, K. A. Doksum and R. Miura, "Rank estimates in a class of semi-parametric two-sample models," Annals of the Institute of Statistical Mathematics vol. 41 pp. 63-79, 1989.
8. B. Delyon, E. Lavielle and E. Moulines, "Convergence of a stochastic approximation version of the EM algorithm," Annals of Statistics vol. 27 pp. 94-128, 1999.
9. J. P. Fine, "Analyzing competing risks data with transformation models," Journal of the Royal Statistical Society Series B vol. 61 pp. 817-830, 1999.
10. J. P. Fine, Z. Ying and L. J. Wei, "On the linear transformation model for censored data," Biometrika vol. 85 pp. 980-986, 1998.
11. D. M. Finkelstein and R. A. Wolfe, "A semiparametric model for regression analysis of interval-censored failure time data," Biometrics vol. 41 pp. 933-945, 1985.
12. D. M. Finkelstein, "A proportional hazards model for interval-censored failure time data," Biometrics vol. 42 pp. 845-854, 1986.
13. A. E. Gelfand and A. F. M. Smith, "Sampling based approaches to calculating marginal densities," Journal of the American Statistical Association vol. 85 pp. 398-409, 1990.
14. C. J. Geyer and E. A. Thompson, "Constrained Monte Carlo Maximum Likelihood for Dependent Data," Journal of the Royal Statistical Society Series B vol. 54 pp. 657-699, 1992.
15. M. G. Gu and F. H. Kong, "A stochastic approximation algorithm with Markov chain Monte Carlo method for incomplete data estimation problems," Proceedings of the National Academy of Sciences USA vol. 95 pp. 7270-7274, 1998.
16. M. G. Gu and H. T. Zhu, "Maximum likelihood estimation for spatial models by Markov chain Monte-Carlo stochastic approximation," Journal of the Royal Statistical Society Series B vol. 63 pp. 339-355, 2001.
17. F. Hsieh, "A transformation model for two survival curves: An empirical process approach," Biometrika vol. 83 pp. 519-528, 1996.
18. F. Hsieh, "On heteroscedastic hazards regression models: Theory and application," Journal of the Royal Statistical Society Series B vol. 63 pp. 63-79, 2001.
19. J. Huang, "Efficient estimation for the proportional hazards model with interval censoring," Annals of Statistics vol. 24 pp. 540-568, 1996.
20. J. Huang and A. J. Rossini, "Sieve estimation for the proportional-odds failure-time regression model with interval censoring," Journal of the American Statistical Association vol. 92 pp. 960-967, 1997.
21. K. F. Lam and A. Y. C. Kuk, "A marginal likelihood approach to estimation in frailty models," Journal of the American Statistical Association vol. 92 pp. 985-990, 1997.
22. K. F. Lam and T. L. Leung, "Marginal likelihood estimation for proportional odds models with right censored data," Lifetime Data Analysis vol. 7 pp. 39-54, 2001.
23. T. A. Louis, "Finding the observed information matrix when using the EM algorithm," Journal of the Royal Statistical Society Series B vol. 44 pp. 226-233, 1982.
24. S. A. Murphy, A. J. Rossini and A. W. Vaart van der, "Maximum likelihood estimation in the proportional odds model," Journal of the American Statistical Association vol. 92 pp. 968-976, 1997.
25. A. N. Pettitt, "Proportional odds model for survival data and estimates using ranks," Applied Statistics vol. 33 pp. 169-175, 1984.
26. B. T. Polyak and A. B. Juditski, "Acceleration of stochastic approximation by averaging," SIAM Journal of Control Optimization vol. 30 pp. 838-855, 1992.
27. G. A. Satten, "Rank-based inference in the proportional hazards model for interval censored data," Biometrika vol. 83 pp. 355-370, 1996.
28. G. A. Satten, S. Datta and J. M. Williamson, "Inference based on imputed failure times for the proportional hazards model with interval-censored data," Journal of American Statistical Association vol. 93 pp. 318-327, 1998.
29. X. Shen, "Proportional odds regression and sieve maximum likelihood estimation," Biometrika vol. 85 pp. 165-177, 1998.
30. C. O. Wu, "Estimating the real parameter in a two-sample proportional odds model," Annals of Statistics vol. 23 pp. 376-395, 1995.
31. R. Xu, "Measuring explained variation in linear mixed effects models," Statistics in Medicine vol. 22 pp. 3527-3541, 2003.
32. S. Yang and R. L. Prentice, "Semiparametric inference in the proportional odds regression model," Journal of American Statistical Association vol. 94 pp. 125-136, 1999.