Empirical likelihood for cox regression model under random censorship

Communications in Statistics Part B: Simulation and Computation

Volumn 30, Issue 1, 2001, Pages 79-90

  Qin, Gengsheng ^a   Jing, Bing Yi ^a  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Cox model; Empirical likelihood; Normal approximation

Indexed keywords

EID: 31244433343     PISSN: 03610918     EISSN: None     Source Type: Journal    
DOI: 10.1081/SAC-100001859     Document Type: Article

References (23)

1. Cox, D.R. Regression Model and Life Tables (with discussion). Biometrika 1972,62, 269-276.
2. Cox, D.R. Partial Likelihood. J. Roy. Statist. Soc. Ser. B 1975,34, 187-220.
3. Tsiatis, A.A. A Large Sample Study of Cox Regression Model. Ann. Statist. 1981,9,93-108.
4. Andersen, P.K.; Gill, D.R. Cox's Regression Model for Counting Processes. Ann. Statist. 1982,10, 1100-1120.
5. Bailey, K. The Asymptotic Joint Distribution of Regression and Survival Parameter in the Cox Regression Model. Ann. Statist. 1983,11, 398.
6. Arjas, E.; Haara, P. A Note on the Asymptotic Normality in the Cox Regression Model. Ann. Statist. 1988,16, 1133-1140.
7. Efron, B.; Tibshirani, R. Bootstrap Methods for Standard Errors, Confidence Intervals and Other Measures of Statistical Accuracy. Stat. Sci. 1986, 7, 54-77.
8. Gu, M. On the Edgeworth Expansion and the Bootstrap Approximation for the Cox Regression Model Under Random Censorship. Can. J. Statist. 1992, 20,399-414.
9. Chen, C.-H.; George, S.L. The Bootstrap and Identification of Prognostic Factors via Cox's Proportional Hazards Regression Model. Stat. Med. 1985, 4, 39-46.
10. Altman, D.G.; Andersen, P.K. Bootstrap Investigation of the Stability of a Cox Regression Model. Stat. Med. 1989,8,771-783.
11. Buur, D. A Comparison of Certain Bootstrap Confidence Intervals in the Cox Model. J. Amer. Statist. Assoc. 1994,59,1290-1302.
12. Owen, A. Empirical Likelihood Ratio Confidence Intervals for Single Functional. Biometrika 1988, 75,237-249.
13. Owen, A. Empirical Likelihood for Linear Models. Ann. Statist. 1991, 79, 1725-1747.
14. Chen, S.X. On the Accuracy of Empirical Likelihood Confidence Regions for Linear Regression Model. Ann. Inst. Statist. Math. 1993,45, 621-637.
15. Kolaczyk, E.D. Empirical Likelihood for Generalized Linear Models. Stat. Sin. 1994,4, 199-218.
16. Chen, S.X.; Hall, P. Smoothed Empirical Likelihood Confidence Intervals for Quantiles. Ann. Statist. 1993,27, 1166-1181.
17. Qin, J.; Lawless, J.F. Empirical Likelihood and General Estimating Equations. Ann. Statist. 1994,22,300-325.
18. Kitamura, Y. Empirical Likelihood Methods with Weakly Dependent Processes. Ann. Statist. 1997,25,2084-2102.
19. Thomas, D.R.; Grunkemeir, G.L. Confidence Interval Estimation for Survival Probabilities for Censored Data. J. Amer. Statist. Assoc. 1975,70, 865-871.
20. Li, G. On Nonparametric'Likelihood Ratio Estimation of Survival Probabilities for Censored Data. Statist. Probab. Lett. 1995,25,95-104.
21. Adimari, G. Empirical Likelihood Type Confidence Intervals under Random Censorship. Ann. Inst. Statist. Math. 1997,49,447-466.
22. Owen, A. Empirical Likelihood Ratio Confidence Regions. Ann. Statist. 1990,18,90-120.
23. Fleming, T.; Harrington, D. Counting Processes and Siin'ival Analysis; Wiley: New York, 1991.