Marginal Likelihood Estimation for Proportional Odds Models with Right Censored Data

Lifetime Data Analysis

Volumn 7, Issue 1, 2001, Pages 39-54

  Lam, K F ^a   Leung, T L ^a  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Censoring; Marginal likelihood; Monte Carlo method; Proportional odds model; Rank invariant transformation

Indexed keywords

ANTINEOPLASTIC AGENT;

ARTICLE; CLINICAL TRIAL; COMPUTER SIMULATION; GOVERNMENT; HUMAN; LUNG TUMOR; MALE; METHODOLOGY; MONTE CARLO METHOD; STATISTICAL MODEL; SURVIVAL; UNITED STATES;

ANTINEOPLASTIC AGENTS; CLINICAL TRIALS; COMPUTER SIMULATION; HUMANS; LIKELIHOOD FUNCTIONS; LUNG NEOPLASMS; MALE; MONTE CARLO METHOD; SURVIVAL ANALYSIS; UNITED STATES; UNITED STATES DEPARTMENT OF VETERANS AFFAIRS;

EID: 0035293623     PISSN: 13807870     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009673026121     Document Type: Article

References (17)

1. S. Bennett, "Log-logistic regression models for survival data," Applied Statistics vol. 32 pp. 165-171, 1983a.
2. S. Bennett, "Analysis of survival data by the proportional odds model," Statistics in medicine vol. 2 pp. 273-277, 1983b.
3. S.C. Cheng, L.J. Wei and Z. Ying, "Analysis of transformation models with censored data," Biometrika vol. 82 pp. 835-845, 1995.
4. D.R. Cox, "Regression models and life-tables (with discussion)," Journal of the Royal Statistical Society, Series B vol. 34 pp. 187-220, 1972.
5. D.R. Cox, "Partial likelihood," Biometrika vol. 62 pp. 269-276, 1975.
6. D.M. Dabrowska and K.A. Doksum, "Partial likelihood in transformation models with censored data," Scandinavian Journal of Statistics vol. 15 pp. 1-23, 1988.
7. K.A. Doksum, "An extension of partial likelihood methods for proportional-hazard models to general transformation models," Annals of Statistics vol. 15 pp. 325-345, 1987.
8. J.D. Kalbfleisch and R.L. Prentice, "Marginal likelihoods based on Cox's regression and life table," Biometrika vol. 60 pp. 267-278, 1973.
9. K.F. Lam and Y.C. Kuk, "A marginal likelihood approach to estimation in frailty models," Journal of the American Statistical Association vol. 92 pp. 985-990, 1997.
10. P. McCullagh, "On the elimination of nuisance parameters in the proportional odds model," Journal of the Royal Statistical Society, Series B vol. 46 pp. 250-256, 1984.
11. 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.
12. A.N. Pettitt, "Approximate methods using ranks for regression with censored data," Biometrika vol. 70. pp. 121-132, 1983.
13. A.N. Pettitt, "Proportional odds model for survival data and estimates using ranks," Applied Statistics vol. 33 pp. 169-175, 1984.
14. A.N. Pettitt, "Estimates for a regression parameter using ranks," Journal of the Royal Statistical Society, Series B vol. 49 pp. 58-67, 1987.
15. R.L. Prentice, "Exponential survivals with censoring and explanatory variables," Biometrika vol. 60 pp. 279-288, 1973.
16. R.L. Prentice, "Linear rank tests with right censored data," Biometrika vol. 65 pp. 167-179, 1978.
17. X. Shen, "Proportional odds regression and sieve maximum likelihood estimation," Biometrika vol. 85 pp. 165-177, 1998.