Distributional Convergence under Random Censorship when Covariables are Present

Scandinavian Journal of Statistics

Volumn 23, Issue 4, 1996, Pages 461-471

  Stute, Winfried ^a  

^a JUSTUS LIEBIG UNIVERSITY   (Germany)

Author keywords

Correlation; Covariables; Distribution theory; Mean residual lifetime; Random censorship; Regression

Indexed keywords

EID: 0030506022     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. Akritas, M. (1994). Nearest neighbor estimation of a bivariate distribution under random censoring. Ann. Statist. 22, 1299-1327.
2. Cuzick, J. (1982). Rank tests for association with right censored data. Biometrika 69, 351-364.
3. Dabrowska, D. M. (1986). Rank tests for independence for bivariate censored data. Ann. Statist. 14, 250-264.
4. Dabrowska, D. M. (1988). Kaplan-Meier estimate on the plane. Ann. Statist. 16, 1475-1489.
5. Dabrowska, D. M. (1989). Kaplan-Meier estimate on the plane: weak convergence, LIL and the bootstrap. J. Multivar. Anal. 29, 308-325.
6. Dabrowska, D. M. (1994). Product integrals and measures of dependence. Technical Report, Biostatistics Department, University of California, Los Angeles.
7. Dvoretzky, A., Kiefer, J. & Wolfowitz, J. (1956). Asymptotic minimax character of the sample distribution function and of the classical multinomial estimator. Ann. Math. Statist. 27, 642-669.
8. Ghorai, J. K. & Rejto, L. (1987). Estimation of mean residual life with censored data under the proportional hazard model. Commun. Statist. Theory Methods 16, 2097-2114.
9. Gill, R. D., van der Laan, M. J. & Wellner, J. A. (1993). Inefficient estimators of the bivariate survival function for three models. Technical Report, Mathematics Department, University of Utrecht.
10. Kaplan, E. L. & Meier, P. (1958). Nonparametric estimation from incomplete observations. J. Amer. Statist. Assoc. 53, 457-481.
11. Pons, O. (1986). A test of independence for two censored survival times. Scand. J. Statist. 13, 173-185.
12. Pons, O. & de Turckheim, E. (1991). Tests for independence for bivariate censored data based on the empirical joint hazard function. Scand. J. Statist. 18, 21-39.
13. Prentice, R. L. & Cai, J. (1992). Covariance and survivor function estimation using censored multivariate failure time data. Biometrika 79, 495-512.
14. Pruitt, R. C. (1993). Identifiability of bivariate survival curves from censored data. J. Amer. Statist. Assoc. 88, 573-579.
15. Serfling, R. J. (1980). Approximation theorems of mathematical statistics. Wiley, New York.
16. Shorack, G. R. & Wellner, J. A. (1986). Empirical processes with applications to statistics. Wiley, New York.
17. Stute, W. (1984). The oscillation behavior of empirical processes: the multivariate case. Ann. Probab. 12, 361-379.
18. Stute, W. (1986). Conditional empirical processes. Ann. Statist. 14, 638-647.
19. Stute, W. (1993). Consistent estimation under random censorship when covariables are present. J. Multivar. Anal. 45, 89-103.
20. Stute, W. (1994). The bias of Kaplan-Meier integrals. Scand. J. Statist. 21, 475-484.
21. Stute, W. (1995). The central limit theorem under random censorship. Ann. Statist. 23, 422-439.
22. Stute, W. & Wang. J. L. (1993). The strong law under random censorship. Ann. Statist. 21, 1591-1607.
23. Turnbull, B. W. (1992). Multivariate failure time analysis: a discussion of papers by Oakes; Pons, Kaddour and de Turckheim; and Prentice and Cai. In Survival analysis: state of the art (eds J. P. Klein & P. K. Goel), 407-414. Kluwer Academic, Amsterdam.
24. Yang, G. L. (1977). Life expectancy under random censorship. Stochast. Process. Appl. 6, 33-39.
25. Yang, G. L. (1978). Estimation of a biometric function. Ann. Statist. 6, 112-116.
26. Zhou, M. (1992a). M-estimation in censored linear models. Biometrika 79, 837-841.
27. Zhou, M. (1992b). Asymptotic normality of the 'synthetic data' regression estimator for censored survival data. Ann. Statist. 20, 1002-1021.