Cox regression; Ties without tears

Communications in Statistics - Theory and Methods

Volumn 31, Issue 2, 2002, Pages 285-297

  Broström, Göran ^a  

^a UMEÅ UNIVERSITY   (Sweden)

Author keywords

Maximum likelihood; Maximum partial likelihood; Nuisance parameters; Profile likelihood

Indexed keywords

EID: 34548163665     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1081/STA-120002652     Document Type: Article

References (14)

1. Cox, D.R. Regression Models and Life Tables (with Discussion). Journal of the Royal Statistical Society Series B 1972, 34, 187-220.
2. Cox, D.R. Partial Likelihood. Biometrika 1975, 62, 269-276.
3. Johansen, S. An Extension of Cox's Regression Model. International Statistical Review 1983, 51, 165-174.
4. Jacobsen, M. Maximum Likelihood Estimation in the Multiplicative Intensity Model. International Statistical Review 1984, 52, 193-207.
5. Andersen, P.K.; Borgan, O.; Gill, R.D.; Keiding, N. Statistical Models Based on Counting Processes. Springer Verlag: New York, 1993.
6. Kalbfleisch, J.D.; Prentice, R.L. The Statistical Analysis of Failure Time Data. Wiley: New York, 1980.
7. Andersen, P.K.; Bentson, M.W.; Klein, J.P. Estimating the Survival Function in the Proportional Hazards Regression Model: A Study of the Small Sample Size Properties. Scandinavian Journal of Statistics 1996, 23, 1-12.
8. Andersen, E.; Bai, Z.; Bischof, C.; Demmerl, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. Lapack User's Guide, Society for Industrial and Applied Mathematics, Philadelphia, 1992.
9. Bailey, K.R. Asymptotic Equivalence Between the Cox Estimator and the General ML Estimators of Regression and Survival Parameters in the Cox Model. Annals of Statistics 1984, 12, 730-736.
10. Murphy, S.A.; van der Vaarth, A.W. Observed Information in SemiParametric Models. Bernoulli 1999, 5, 381-412.
11. Bailey, K.R. The Asymptotic Joint Distribution of Regression and Survival Parameter Estimates in the Cox Regression Model. Annals of Statistics 1983, 11, 39-48.
12. Prentice, R.L.; Gloeckler, L.A. Regression Analysis of Grouped Survival Data with Application to Breast Cancer Data. Biometrics 1978, 34, 57-67.
13. Patefield, W.M. On the Maximized Likelihood Function, Sankhya Series B 1977, 39, 92-96.
14. Efron, B. Efficiency of Cox's Likelihood Function for Censored Data. Journal of the American Statistical Association 1977, 72, 557-565.